900 (nine hundred) is the natural number following

899 __NOTOC__ Year 899 ( DCCCXCIX) was a common year starting on Monday (link will display the full calendar) of the Julian calendar. Events By place Europe * Summer – King Arnulf of Carinthia enlists the support of the Magyars, to ...

and preceding

901 __NOTOC__ Year 901 ( CMI) was a common year starting on Thursday (link will display the full calendar) of the Julian calendar. Events By place Europe * February – King Louis III (the Blind) is crowned as Holy Roman Emperor by ...

. It is the square of 30 and the sum of

Euler's totient function In number theory, Euler's totient function counts the positive integers up to a given integer that are relatively prime to . It is written using the Greek letter phi as \varphi(n) or \phi(n), and may also be called Euler's phi function. In ot ...

for the first 54

positive integer In mathematics, the natural numbers are those numbers used for counting (as in "there are ''six'' coins on the table") and ordering (as in "this is the ''third'' largest city in the country"). Numbers used for counting are called ''cardinal n ...

s. In base 10 it is a

Harshad number In mathematics, a harshad number (or Niven number) in a given number base is an integer that is divisible by the sum of its digits when written in that base. Harshad numbers in base are also known as -harshad (or -Niven) numbers. Harshad numbers ...

. It is also the first number to be the square of a sphenic number.

In other fields

900 is also: * A telephone

area code A telephone numbering plan is a type of numbering scheme used in telecommunication to assign telephone numbers to subscriber telephones or other telephony endpoints. Telephone numbers are the addresses of participants in a telephone network, rea ...

for "premium" phone calls in the North American Numbering Plan * In Greek number symbols, the sign Sampi ("ϡ", literally "like a pi") * A

skateboarding trick A skateboarding trick, or simply a trick, is a maneuver performed by manipulating a skateboard, usually with one's feet, in a specific way to achieve the desired outcome – the trick. History Though skateboards emerged in the 1900s, skateboard ...

in which the skateboarder spins two and a half times (360 degrees times 2.5 is 900) * A

900 series 900 series or series 900 or ''variation'', may refer to: * 900 series (bowling), three consecutive perfect games by an individual bowler * AMD 900 chipset series, set of chipsets released in 2011 * Euskotren 900 series, a train type * GeForce 900 ...

refers to three consecutive perfect games in bowling * Yoda's age in

Star Wars ''Star Wars'' is an American epic film, epic space opera multimedia franchise created by George Lucas, which began with the Star Wars (film), eponymous 1977 film and quickly became a worldwide popular culture, pop-culture Cultural impact of S ...

Integers from 901 to 999

900s

* 901 = 17 × 53, centered triangular number, happy number * 902 = 2 × 11 × 41, sphenic number, nontotient, Harshad number * 903 = 3 × 7 × 43, sphenic number, triangular number, Schröder–Hipparchus number, Mertens function (903) returns 0, little Schroeder number * 904 = 2³ × 113 or 113 × 8, Mertens function(904) returns 0, lazy caterer number, number of 1's in all partitions of 26 into odd parts * 905 = 5 × 181, sum of seven consecutive primes (109 + 113 + 127 + 131 + 137 + 139 + 149), smallest composite de Polignac number ** "The 905" is a common nickname for the suburban portions of the

Greater Toronto Area The Greater Toronto Area, commonly referred to as the GTA, includes the City of Toronto and the regional municipalities of Durham, Halton, Peel, and York. In total, the region contains 25 urban, suburban, and rural municipalities. The Greater T ...

in Canada, a region whose telephones used

area code 905 Area is the quantity that expresses the extent of a region on the plane or on a curved surface. The area of a plane region or ''plane area'' refers to the area of a shape or planar lamina, while ''surface area'' refers to the area of an open s ...

before overlay plans added two more area codes. * 906 = 2 × 3 × 151,

strobogrammatic A strobogrammatic number is a number whose numeral is rotationally symmetric, so that it appears the same when rotated 180 degrees. In other words, the numeral looks the same right-side up and upside down (e.g., 69, 96, 1001). A strobogrammatic ...

, sphenic number, Mertens function(906) returns 0 * 907 = prime number * 908 = 2² × 227, nontotient, number of primitive sorting networks on 6 elements, number of rhombic tilings of a 12-gon * 909 = 3² × 101, number of non-isomorphic aperiodic multiset partitions of weight 7

910s

* 910 = 2 × 5 × 7 × 13, Mertens function(910) returns 0, Harshad number, happy number, balanced number, number of polynomial symmetric functions of matrix of order 7 under separate row and column permutations *

911 911 or 9/11 may refer to: Dates * AD 911 * 911 BC * September 11 ** 9/11, the September 11 attacks of 2001 ** 11 de Septiembre, Chilean coup d'état in 1973 that outed the democratically elected Salvador Allende * November 9 Numbers * 911 ...

= Sophie Germain prime number, also the emergency telephone number in North America * 912 = 2⁴ × 3 × 19, sum of four consecutive primes (223 + 227 + 229 + 233), sum of ten consecutive primes (71 + 73 + 79 + 83 + 89 + 97 + 101 + 103 + 107 + 109), Harshad number. * 913 = 11 × 83, Smith number, Mertens function(913) returns 0. * 914 = 2 × 457, nontotient, number of compositions of 11 that are neither weakly increasing nor weakly decreasing * 915 = 3 × 5 × 61, sphenic number, Smith number, Mertens function(915) returns 0, Harshad number * 916 = 2² × 229, Mertens function(916) returns 0, nontotient,

, member of the Mian–Chowla sequence * 917 = 7 × 131, sum of five consecutive primes (173 + 179 + 181 + 191 + 193) * 918 = 2 × 3³ × 17, Harshad number * 919 = prime number, cuban prime, prime index prime, Chen prime,

palindromic prime In mathematics, a palindromic prime (sometimes called a palprime) is a prime number that is also a palindromic number. Palindromicity depends on the base of the number system and its notational conventions, while primality is independent of such ...

centered hexagonal number In mathematics and combinatorics, a centered hexagonal number, or hex number, is a centered figurate number that represents a hexagon with a dot in the center and all other dots surrounding the center dot in a hexagonal lattice. The following ...

, Mertens function(919) returns 0

920s

* 920 = 2³ × 5 × 23, Mertens function(920) returns 0, total number of nodes in all rooted trees with 8 nodes * 921 = 3 × 307, number of enriched r-trees of size 7 * 922 = 2 × 461, nontotient, Smith number * 923 = 13 × 71, number of combinations of 6 things from 1 to 6 at a time * 924 = 2² × 3 × 7 × 11, sum of a twin prime (461 + 463),

central binomial coefficient In mathematics the ''n''th central binomial coefficient is the particular binomial coefficient : = \frac = \prod\limits_^\frac \textn \geq 0. They are called central since they show up exactly in the middle of the even-numbered rows in Pascal' ...

\tbinom  6

* 925 = 5² × 37, pentagonal number, centered square number ** The millesimal fineness number for Sterling silver * 926 = 2 × 463, sum of six consecutive primes (139 + 149 + 151 + 157 + 163 + 167), nontotient * 927 = 3² × 103, tribonacci number * 928 = 2⁵ × 29, sum of four consecutive primes (227 + 229 + 233 + 239), sum of eight consecutive primes (101 + 103 + 107 + 109 + 113 + 127 + 131 + 137), happy number * 929 = prime number, Proth prime, palindromic prime, sum of nine consecutive primes (83 + 89 + 97 + 101 + 103 + 107 + 109 + 113 + 127), Eisenstein prime with no imaginary part ** An area code in New York.

930s

* 930 = 2 × 3 × 5 × 31, pronic number * 931 = 7² × 19; sum of three consecutive primes (307 + 311 + 313); double repdigit, 111₃₀ and 777₁₁; number of regular simple graphs spanning 7 vertices * 932 = 2² × 233, number of regular simple graphs on 7 labeled nodes * 933 = 3 × 311 * 934 = 2 × 467, nontotient * 935 = 5 × 11 × 17, sphenic number,

Lucas–Carmichael number In mathematics, a Lucas–Carmichael number is a positive composite integer ''n'' such that # if ''p'' is a prime factor of ''n'', then ''p'' + 1 is a factor of ''n'' + 1; # ''n'' is odd and square-free. The first condition resembles the Korselt's ...

, Harshad number * 936 = 2³ × 3² × 13, pentagonal pyramidal number, Harshad number * 937 = prime number, Chen prime, star number, happy number * 938 = 2 × 7 × 67, sphenic number, nontotient, number of lines through at least 2 points of an 8 × 8 grid of points * 939 = 3 × 313, number of V-toothpicks after 31 rounds of the honeycomb sequence

940s

* 940 = 2² × 5 × 47, totient sum for first 55 integers * 941 = prime number, sum of three consecutive primes (311 + 313 + 317), sum of five consecutive primes (179 + 181 + 191 + 193 + 197), Chen prime, Eisenstein prime with no imaginary part * 942 = 2 × 3 × 157, sphenic number, sum of four consecutive primes (229 + 233 + 239 + 241), nontotient, convolved Fibonacci number * 943 = 23 × 41 * 944 = 2⁴ × 59, nontotient, Lehmer-Comtet number * 945 = 3³ × 5 × 7,

double factorial In mathematics, the double factorial or semifactorial of a number , denoted by , is the product of all the integers from 1 up to that have the same parity (odd or even) as . That is, :n!! = \prod_^ (n-2k) = n (n-2) (n-4) \cdots. For even , the ...

of 9, smallest odd abundant number (divisors less than itself add up to 975); smallest odd

primitive abundant number In mathematics a primitive abundant number is an abundant number whose proper divisors are all deficient numbers. For example, 20 is a primitive abundant number because: :#The sum of its proper divisors is 1 + 2 + 4 + 5 + 10 = 22, so 20 is an abu ...

; smallest odd

primitive semiperfect number Primitive may refer to: Mathematics * Primitive element (field theory) * Primitive element (finite field) * Primitive cell (crystallography) * Primitive notion, axiomatic systems * Primitive polynomial (disambiguation), one of two concepts * Primi ...

; Leyland number * 946 = 2 × 11 × 43, sphenic number, triangular number, hexagonal number, happy number * 947 = prime number, sum of seven consecutive primes (113 + 127 + 131 + 137 + 139 + 149 + 151),

balanced prime In number theory, a balanced prime is a prime number with equal-sized prime gaps above and below it, so that it is equal to the arithmetic mean of the nearest primes above and below. Or to put it algebraically, given a prime number p_n, where is it ...

, Chen prime, lazy caterer number, Eisenstein prime with no imaginary part * 948 = 2² × 3 × 79, nontotient, forms a Ruth–Aaron pair with 949 under second definition, number of combinatory separations of normal multisets of weight 6. * 949 = 13 × 73, forms a Ruth–Aaron pair with 948 under second definition

950s

* 950 = 2 × 5² × 19, nontotient,

generalized pentagonal number A pentagonal number is a figurate number that extends the concept of triangular and square numbers to the pentagon, but, unlike the first two, the patterns involved in the construction of pentagonal numbers are not rotationally symmetrical. The ...

** one of two ISBN Group Identifiers for books published in Argentina * 951 = 3 × 317, centered pentagonal number ** one of two ISBN Group Identifiers for books published in Finland * 952 = 2³ × 7 × 17, number of reduced words of length 3 in the Weyl group D_17, number of regions in regular tetradecagon with all diagonals drawn. ** 952 is also ''

9-5-2 3-5-8, also known as Sergeant Major for its popularity among members of the Royal Air Force, is a trick-taking card game for 3 players, using a standard 52 card deck. 3-5-8 may be played as a gambling game, and there are many variations with names ...

,'' a card game similar to bridge. ** one of two ISBN Group Identifiers for books published in Finland * 953 = prime number, Sophie Germain prime, Chen prime, Eisenstein prime with no imaginary part, centered heptagonal number ** ISBN Group Identifier for books published in Croatia * 954 = 2 × 3² × 53, sum of ten consecutive primes (73 + 79 + 83 + 89 + 97 + 101 + 103 + 107 + 109 + 113), nontotient, Harshad number, sixth derivative of x^(x^x) at x=1. ** ISBN Group Identifier for books published in Bulgaria. Also one of the

Area Codes A telephone numbering plan is a type of numbering scheme used in telecommunication to assign telephone numbers to subscriber telephones or other telephony endpoints. Telephone numbers are the addresses of participants in a telephone network, rea ...

in the

South Florida South Florida is the southernmost region of the U.S. state of Florida. It is one of Florida's three most commonly referred to directional regions; the other two are Central Florida and North Florida. South Florida is the southernmost part of th ...

Area * 955 = 5 × 191, number of transitive rooted trees with 17 nodes ** ISBN Group Identifier for books published in Sri Lanka * 956 = 2² × 239, number of compositions of 13 into powers of 2. ** ISBN Group Identifier for books published in Chile * 957 = 3 × 11 × 29, sphenic number, antisigma(45) ** one of two ISBN Group Identifiers for books published in Taiwan and China * 958 = 2 × 479, nontotient, Smith number ** ISBN Group Identifier for books published in

Colombia Colombia (, ; ), officially the Republic of Colombia, is a country in South America with insular regions in North America—near Nicaragua's Caribbean coast—as well as in the Pacific Ocean. The Colombian mainland is bordered by the Car ...

** The millesimal fineness number for Britannia silver * 959 = 7 × 137, composite de Polignac number ** ISBN Group Identifier for books published in Cuba

960s

* 960 = 2⁶ × 3 × 5, sum of six consecutive primes (149 + 151 + 157 + 163 + 167 + 173), Harshad number ** country calling code for Maldives, ISBN Group Identifier for books published in Greece ** The number of possible starting positions for the

chess variant A chess variant is a game related to, derived from, or inspired by chess. Such variants can differ from chess in many different ways. "International" or "Western" chess itself is one of a family of games which have related origins and could be co ...

Chess960 * 961 = 31², the largest 3-digit perfect square, sum of three consecutive primes (313 + 317 + 331), sum of five consecutive primes (181 + 191 + 193 + 197 + 199), centered octagonal number ** country calling code for Lebanon, ISBN Group Identifier for books published in Slovenia * 962 = 2 × 13 × 37, sphenic number, nontotient ** country calling code for Jordan, one of two ISBN Group Identifiers for books published in Hong Kong * 963 = 3² × 107, sum of the first twenty-four primes ** country calling code for Syria, ISBN Group Identifier for books published in Hungary * 964 = 2² × 241, sum of four consecutive primes (233 + 239 + 241 + 251), nontotient, totient sum for first 56 integers ** country calling code for Iraq, ISBN Group Identifier for books published in Iran, happy number * 965 = 5 × 193 ** country calling code for Kuwait, ISBN Group Identifier for books published in Israel * 966 = 2 × 3 × 7 × 23 =

\left\

, sum of eight consecutive primes (103 + 107 + 109 + 113 + 127 + 131 + 137 + 139), Harshad number ** country calling code for Saudi Arabia, one of two ISBN Group Identifiers for books published in Ukraine * 967 = prime number, prime index prime ** country calling code for Yemen, one of two ISBN Group Identifiers for books published in Malaysia * 968 = 2³ × 11², nontotient, Achilles number, area of a square with diagonal 44 ** country calling code for Oman, one of two ISBN Group Identifiers for books published in Mexico * 969 = 3 × 17 × 19, sphenic number, nonagonal number, tetrahedral number ** ISBN Group Identifier for books published in Pakistan, age of Methuselah according to Old Testament, anti-Muslim movement in Myanmar

970s

* 970 = 2 × 5 × 97, sphenic number, heptagonal number ** country calling code for Palestinian territories, one of two ISBN Group Identifiers for books published in Mexico *

971 Year 971 ( CMLXXI) was a common year starting on Sunday (link will display the full calendar) of the Julian calendar. Events By place Byzantine Empire * Battle of Dorostolon: A Byzantine expeditionary army (possibly 30–40,000 men) ...

= prime number, Chen prime, Eisenstein prime with no imaginary part ** country calling code for United Arab Emirates, ISBN Group Identifier for books published in the Philippines * 972 = 2² × 3⁵, Harshad number, Achilles number ** country calling code for Israel, one of two ISBN Group Identifiers for books published in Portugal * 973 = 7 × 139, happy number ** country calling code for Bahrain, ISBN Group Identifier for books published in Romania, * 974 = 2 × 487, nontotient, 974! - 1 is prime ** country calling code for Qatar, ISBN Group Identifier for books published in Thailand * 975 = 3 × 5² × 13 ** country calling code for Bhutan, ISBN Group Identifier for books published in Turkey * 976 = 2⁴ × 61, decagonal number ** country calling code for Mongolia, ISBN Group Identifier for books published in

Antigua Antigua ( ), also known as Waladli or Wadadli by the native population, is an island in the Lesser Antilles. It is one of the Leeward Islands in the Caribbean region and the main island of the country of Antigua and Barbuda. Antigua and Bar ...

, Bahamas, Barbados, Belize,

Cayman Islands The Cayman Islands () is a self-governing British Overseas Territory—the largest by population in the western Caribbean Sea. The territory comprises the three islands of Grand Cayman, Cayman Brac and Little Cayman, which are located to the ...

Dominica Dominica ( or ; Kalinago: ; french: Dominique; Dominican Creole French: ), officially the Commonwealth of Dominica, is an island country in the Caribbean. The capital, Roseau, is located on the western side of the island. It is geographically ...

Grenada Grenada ( ; Grenadian Creole French: ) is an island country in the West Indies in the Caribbean Sea at the southern end of the Grenadines island chain. Grenada consists of the island of Grenada itself, two smaller islands, Carriacou and Pe ...

Guyana Guyana ( or ), officially the Cooperative Republic of Guyana, is a country on the northern mainland of South America. Guyana is an indigenous word which means "Land of Many Waters". The capital city is Georgetown. Guyana is bordered by the ...

, Jamaica,

Montserrat Montserrat ( ) is a British Overseas Territories, British Overseas Territory in the Caribbean. It is part of the Leeward Islands, the northern portion of the Lesser Antilles chain of the West Indies. Montserrat is about long and wide, with r ...

, Saint Kitts and Nevis,

St. Lucia Saint Lucia ( acf, Sent Lisi, french: Sainte-Lucie) is an island country of the West Indies in the eastern Caribbean. The island was previously called Iouanalao and later Hewanorra, names given by the native Arawaks and Caribs, two Amerin ...

St. Vincent and the Grenadines Saint Vincent and the Grenadines () is an island country in the Caribbean. It is located in the southeast Windward Islands of the Lesser Antilles, which lie in the West Indies at the southern end of the eastern border of the Caribbean Sea wh ...

, Trinidad and Tobago, and the British Virgin Islands * 977 = prime number, sum of nine consecutive primes (89 + 97 + 101 + 103 + 107 + 109 + 113 + 127 + 131), balanced prime, Chen prime, Eisenstein prime with no imaginary part,

Stern prime A Stern prime, named for Moritz Abraham Stern, is a prime number that is not the sum of a smaller prime and twice the square of a non zero integer. That is, if for a prime ''q'' there is no smaller prime ''p'' and nonzero integer ''b'' such that ' ...

, strictly non-palindromic number ** country calling code for Nepal **

EAN Ean may refer to: People * Ean Campbell (1856–1921), Anglican bishop in the early 20th century * Ean Elliot Clevenger, multi-instrumentalist, vocalist, and songwriter * Ean Evans (1960–2009), bassist for Lynyrd Skynyrd from 2001 until his death ...

prefix for ISSNs ** ISBN Group Identifier for books published in Egypt * 978 = 2 × 3 × 163, sphenic number, nontotient, number of secondary structures of RNA molecules with 11 nucleotides ** First

prefix for ISBNs ** ISBN Group Identifier for books published in Nigeria * 979 = 11 × 89, the sum of the five smallest fourth powers:

979=\sum_^n^4

** Second

prefix for ISBNs. Also for ISMNs ** ISBN Group Identifier for books published in Indonesia

980s

* 980 = 2² × 5 × 7², number of ways to tile a hexagon of edge 3 wit
calissons
of side 1. ** ISBN Group Identifier for books published in Venezuela * 981 = 3² × 109 ** one of two ISBN Group Identifiers for books published in Singapore * 982 = 2 × 491, happy number ** ISBN Group Identifier for books published in the Cook Islands,

Fiji Fiji ( , ,; fj, Viti, ; Fiji Hindi: फ़िजी, ''Fijī''), officially the Republic of Fiji, is an island country in Melanesia, part of Oceania in the South Pacific Ocean. It lies about north-northeast of New Zealand. Fiji consists ...

, Kiribati, Marshall Islands, Micronesia,

Nauru Nauru ( or ; na, Naoero), officially the Republic of Nauru ( na, Repubrikin Naoero) and formerly known as Pleasant Island, is an island country and microstate in Oceania, in the Central Pacific. Its nearest neighbour is Banaba Island in Ki ...

New Caledonia ) , anthem = "" , image_map = New Caledonia on the globe (small islands magnified) (Polynesia centered).svg , map_alt = Location of New Caledonia , map_caption = Location of New Caledonia , mapsize = 290px , subdivision_type = Sovereign st ...

, Niue, Palau, Solomon Islands, Tokelau, Tonga, Tuvalu, Vanuatu, Western Samoa * 983 = prime number, safe prime, Chen prime, Eisenstein prime with no imaginary part,

Wedderburn–Etherington number The Wedderburn–Etherington numbers are an integer sequence named for Ivor Malcolm Haddon Etherington.. and Joseph Wedderburn. that can be used to count certain kinds of binary trees. The first few numbers in the sequence are :0, 1, 1, 1, 2, 3, 6, ...

, strictly non-palindromic number ** One of two ISBN Group Identifiers for books published in Malaysia * 984 = 2³ × 3 × 41 ** ISBN Group Identifier for books published in Bangladesh * 985 = 5 × 197, sum of three consecutive primes (317 + 331 + 337), Markov number, Pell number, Smith number ** one of two ISBN Group Identifiers for books published in Belarus * 986 = 2 × 17 × 29, sphenic number, nontotient,

, number of unimodal compositions of 14 where the maximal part appears once ** one of two ISBN Group Identifiers for books published in Taiwan and China * 987 = 3 × 7 × 47, Fibonacci number, number of partitions of 52 into prime parts ** one of two ISBN Group Identifiers for books published in Argentina * 988 = 2² × 13 × 19, nontotient. sum of four consecutive primes (239 + 241 + 251 + 257). A cake number. ** one of two ISBN Group Identifiers for books published in Hong Kong. * 989 = 23 × 43, Extra strong

Lucas pseudoprime Lucas pseudoprimes and Fibonacci pseudoprimes are composite integers that pass certain tests which all primes and very few composite numbers pass: in this case, criteria relative to some Lucas sequence. Baillie-Wagstaff-Lucas pseudoprimes Baill ...

** one of two ISBN Group Identifiers for books published in Portugal

990s

* 990 = 2 × 3² × 5 × 11, sum of six consecutive primes (151 + 157 + 163 + 167 + 173 + 179), triangular number, Harshad number ** best possible

VantageScore VantageScore is a consumer credit-scoring system in the United States, created through a joint venture of the three major credit bureaus (Equifax, Experian, and TransUnion). The model is managed and maintained by an independent company, VantageSco ...

credit score * 991 = prime number, sum of five consecutive primes (191 + 193 + 197 + 199 + 211), sum of seven consecutive primes (127 + 131 + 137 + 139 + 149 + 151 + 157), Chen prime, lucky prime, prime index prime * 992 = 2⁵ × 31, pronic number, nontotient; number of eleven-dimensional

exotic sphere In an area of mathematics called differential topology, an exotic sphere is a differentiable manifold ''M'' that is homeomorphic but not diffeomorphic to the standard Euclidean ''n''-sphere. That is, ''M'' is a sphere from the point of view of al ...

s. ** country calling code for Tajikistan * 993 = 3 × 331 ** country calling code for Turkmenistan * 994 = 2 × 7 × 71, sphenic number, nontotient, number of binary words of length 13 with all distinct runs. ** country calling code for Azerbaijan * 995 = 5 × 199 ** country calling code for Georgia ** Singapore fire brigade and emergency ambulance services hotline * 996 = 2² × 3 × 83 ** country calling code for Kyrgyzstan * 997 = largest three-digit prime number, strictly non-palindromic number. It is also a lucky prime. * 998 = 2 × 499, nontotient, number of 7-node graphs with two connected components. ** country calling code for Uzbekistan * 999 = 3³ × 37, Kaprekar number, Harshad number ** In some parts of the world, such as the UK and

Commonwealth A commonwealth is a traditional English term for a political community founded for the common good. Historically, it has been synonymous with "republic". The noun "commonwealth", meaning "public welfare, general good or advantage", dates from the ...

countries, 999 (pronounced as 9-9-9) is the emergency telephone number. ** 999 was a London punk band active during the 1970s.

References

{{DEFAULTSORT:900 (Number) Integers