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60 (sixty) () is the natural number following 59 and preceding 61. Being three times 20, it is called '' threescore'' in older literature ('' kopa'' in Slavic, ''Schock'' in Germanic).


In mathematics

* 60 is a
highly composite number __FORCETOC__ A highly composite number is a positive integer with more divisors than any smaller positive integer has. The related concept of largely composite number refers to a positive integer which has at least as many divisors as any smaller ...
. Because it is the sum of its unitary divisors (excluding itself), it is a
unitary perfect number A unitary perfect number is an integer which is the sum of its positive proper unitary divisors, not including the number itself (a divisor ''d'' of a number ''n'' is a unitary divisor if ''d'' and ''n''/''d'' share no common factors). Some perfect ...
, and it is an abundant number with an abundance of 48. Being ten times a perfect number, it is a semiperfect number. * It is the smallest number divisible by the numbers 1 to 6: there is no smaller number divisible by the numbers 1 to 5. * It is the smallest number with exactly 12 divisors. * It is one of seven integers that have more divisors than any number less than twice itself , one of six that are also lowest common multiple of a consecutive set of integers from 1, and one of six that are divisors of every highly composite number higher than itself. * It is the smallest number that is the sum of two odd primes in six ways.Wells, D. '' The Penguin Dictionary of Curious and Interesting Numbers'' London: Penguin Group. (1987): 109–110. * The smallest non solvable group ( A5) has order 60. * There are four
Archimedean solid In geometry, an Archimedean solid is one of the 13 solids first enumerated by Archimedes. They are the convex uniform polyhedra composed of regular polygons meeting in identical vertices, excluding the five Platonic solids (which are composed ...
s with 60 vertices: the truncated icosahedron, the
rhombicosidodecahedron In geometry, the rhombicosidodecahedron is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed of two or more types of regular polygon faces. It has 20 regular triangular faces, 30 square (geometry), square face ...
, the
snub dodecahedron In geometry, the snub dodecahedron, or snub icosidodecahedron, is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed by two or more types of regular polygon faces. The snub dodecahedron has 92 faces (the most ...
, and the truncated dodecahedron. The skeletons of these polyhedra form 60-node
vertex-transitive graph In the mathematical field of graph theory, a vertex-transitive graph is a graph in which, given any two vertices and of , there is some automorphism :f : G \to G\ such that :f(v_1) = v_2.\ In other words, a graph is vertex-transitive i ...
s. There are also two Archimedean solids with 60 edges: the snub cube and the icosidodecahedron. The skeleton of the icosidodecahedron forms a 60-edge symmetric graph. * There are 60 one-sided
hexomino A hexomino (or 6-omino) is a polyomino of order 6, that is, a polygon in the plane made of 6 equal-sized squares connected edge-to-edge. The name of this type of figure is formed with the prefix hex(a)-. When rotations and reflections are not c ...
es, the polyominoes made from six squares. * In geometry, it is the number of
seconds The second (symbol: s) is the unit of time in the International System of Units (SI), historically defined as of a day – this factor derived from the division of the day first into 24 hours, then to 60 minutes and finally to 60 seconds ...
in a
minute The minute is a unit of time usually equal to (the first sexagesimal fraction) of an hour, or 60 seconds. In the UTC time standard, a minute on rare occasions has 61 seconds, a consequence of leap seconds (there is a provision to insert a nega ...
, and the number of minutes in a
degree Degree may refer to: As a unit of measurement * Degree (angle), a unit of angle measurement ** Degree of geographical latitude ** Degree of geographical longitude * Degree symbol (°), a notation used in science, engineering, and mathematics ...
. * In normal space, the three interior angles of an equilateral triangle each measure 60 degrees, adding up to 180 degrees. * Because it is divisible by the sum of its digits in decimal, 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 ...
. * A number system with base 60 is called sexagesimal (the original meaning of ''sexagesimal'' is sixtieth). * It is the smallest positive integer that is written with only the smallest and the largest digit of base 2 ( binary), base 3 (
ternary Ternary (from Latin ''ternarius'') or trinary is an adjective meaning "composed of three items". It can refer to: Mathematics and logic * Ternary numeral system, a base-3 counting system ** Balanced ternary, a positional numeral system, useful ...
), and base 4 (
quaternary The Quaternary ( ) is the current and most recent of the three periods of the Cenozoic Era in the geologic time scale of the International Commission on Stratigraphy (ICS). It follows the Neogene Period and spans from 2.58 million years ...
). * 60 is also the product of the side lengths of the smallest whole number right triangle: 3, 4, 5, a type of Pythagorean triple.


In science and technology

The first fullerene to be discovered was buckminsterfullerene C60, an
allotrope of carbon Carbon is capable of forming many allotropy, allotropes (structurally different forms of the same element) due to its Valence (chemistry), valency. Well-known forms of carbon include diamond and graphite. In recent decades, many more allotrope ...
with 60 atoms in each molecule, arranged in a truncated icosahedron. This ball is known as a buckyball, and looks like a soccer ball. The atomic number of neodymium is 60, and cobalt-60 (60Co) is a radioactive isotope of cobalt. The electrical utility frequency in western Japan, South Korea, Taiwan, the Philippines, the United States, and several other countries in the Americas is 60 Hz. An exbibyte (sometimes called exabyte) is 260 bytes.


Cultural number systems

The Babylonian cuneiform numerals had a base of 60, inherited from the Sumerian and Akkadian civilizations, and possibly motivated by the large number of divisors that 60 has. The sexagesimal measurement of time and of geometric angles is a legacy of the Babylonian system. The number system in the
Mali Empire The Mali Empire ( Manding: ''Mandé''Ki-Zerbo, Joseph: ''UNESCO General History of Africa, Vol. IV, Abridged Edition: Africa from the Twelfth to the Sixteenth Century'', p. 57. University of California Press, 1997. or Manden; ar, مالي, Māl ...
was based on 60, reflected in the counting system of the Maasina Fulfulde, a variant of the
Fula language Fula ,Laurie Bauer, 2007, ''The Linguistics Student’s Handbook'', Edinburgh also known as Fulani or Fulah (, , ; Adlam: , , ), is a Senegambian language spoken by around 30 million people as a set of various dialects in a continuum that stre ...
spoken in contemporary Mali. The Ekagi of Western New Guinea used base 60, and the sexagenary cycle plays a role in
Chinese calendar The traditional Chinese calendar (also known as the Agricultural Calendar 曆; 农历; ''Nónglì''; 'farming calendar' Former Calendar 曆; 旧历; ''Jiùlì'' Traditional Calendar 曆; 老历; ''Lǎolì'', is a lunisolar calendar ...
and numerology. From Polish–Lithuanian Commonwealth in Slavic and Baltic languages 60 has its own name '' kopa'' ( pl, kopa, be, капа́, lt, kapa, cz, kopa, , uk, копа́), in Germanic languages: german:
Schock Schock may refer to: People with the surname *Aaron Schock (born 1981), American politician *Axel Schock (born 1965), German author *Gina Schock (born 1957), American drummer *Harriet Schock (fl. from 1970s), American singer/songwriter *Rudolf Sch ...
, , , , and in la, sexagena refer to 60 = 5 dozen =
small gross In English and related languages, several terms involving the words "great" or "gross" relate to numbers involving a multiple of exponents of 12 (number), twelve (dozen): *A gross refers to a group of 144 (number), 144 items (a dozen dozen or a squ ...
. This quantity was used in international medieval treaties e.g. for ransom of captured Teutonic Knights.


In religion

60 occurs several times in the Bible; for example, as the age of Isaac when Jacob and Esau were born, and the number of warriors escorting King
Solomon Solomon (; , ),, ; ar, سُلَيْمَان, ', , ; el, Σολομών, ; la, Salomon also called Jedidiah (Hebrew language, Hebrew: , Modern Hebrew, Modern: , Tiberian Hebrew, Tiberian: ''Yăḏīḏăyāh'', "beloved of Yahweh, Yah"), ...
. In the laws of
kashrut (also or , ) is a set of dietary laws dealing with the foods that Jewish people are permitted to eat and how those foods must be prepared according to Jewish law. Food that may be consumed is deemed kosher ( in English, yi, כּשר), fro ...
of Judaism, 60 is the proportion (60:1) of kosher to non-kosher ingredients that can render an admixture kosher post-facto. In the Quran, 60 is mentioned once: "..he should feed sixty indigent ones..", but it is mentioned many times in the Hadith, most notably Muhammad being reported to say, "..Allah, the Exalted and Glorious, created Adam in His own image with His length of sixty cubits.." In Hinduism, the 60th birthday of a man is called Sashti poorthi. A ceremony called Sashti (60) Abda (years) Poorthi (completed) in Sanskrit is conducted to felicitate this birthday. It represents a milestone in his life. There are 60 years mentioned in the historic Indian calendars.


In other fields

It is: * In time, the number of
second The second (symbol: s) is the unit of time in the International System of Units (SI), historically defined as of a day – this factor derived from the division of the day first into 24 hours, then to 60 minutes and finally to 60 seconds ...
s in a
minute The minute is a unit of time usually equal to (the first sexagesimal fraction) of an hour, or 60 seconds. In the UTC time standard, a minute on rare occasions has 61 seconds, a consequence of leap seconds (there is a provision to insert a nega ...
, and the number of minutes in an
hour An hour (symbol: h; also abbreviated hr) is a unit of time conventionally reckoned as of a day and scientifically reckoned between 3,599 and 3,601 seconds, depending on the speed of Earth's rotation. There are 60 minutes in an hour, and 24 ho ...
.Dennis Guedj, ''Numbers: The Universal Language'', transl. Lory Frankel. New York: Harry N. Abrams, Inc. Publishers (1997): 71. "60: the ace of divisibility. The more divisible a number is ... the more useful it proves in certain situations. ... Is it because 60 is highly divisible that the hour has been divided into 60 minutes, and the minute into 60 seconds? Look at the list of its twelve divisors ... Compare this with the larger number 100, which has only nine divisors." (a legacy of the
Babylonian number system Assyro-Chaldean Babylonian cuneiform numerals were written in cuneiform, using a wedge-tipped reed stylus to make a mark on a soft clay tablet which would be exposed in the sun to harden to create a permanent record. The Babylonians, who were ...
) * The number of feet in the standard measurement tool to evaluate an automotive launch on a dragstrip, as the time taken to travel the first of the track. * The number of miles per hour an automobile accelerates to from rest (
0-60 The time it takes a vehicle to accelerate from 0 to 60 miles per hour (0 to 97 km/h or 0 to 27  m/s), often said just "zero to sixty", is a commonly used performance measure for automotive acceleration in the United States and the ...
) as one of the standard measurements of performance * The number of years in a sexagenary cycle * ''
60 Minutes ''60 Minutes'' is an American television news magazine broadcast on the CBS television network. Debuting in 1968, the program was created by Don Hewitt and Bill Leonard, who chose to set it apart from other news programs by using a unique styl ...
'', a CBS investigative television show * '' Sixty Minute Man'' was a TV show starring Kenny Baumann * A common speed limit, in miles per hour, for freeways in many U.S. states * A common speed limit, in kilometers per hour, in urban areas in Russia * In years of marriage, the diamond wedding anniversary * The maximum number of marbles (game pieces) in Chinese checkers * The code for international direct dial calls to Malaysia * The highest attainable level in '' World of Warcraft'' (not including the five latest expansions) * '' Studio 60 on the Sunset Strip'' was a TV show on NBC (2006–07) * '' Gone in 60 Seconds'' is a movie starring Nicolas Cage *
Miss Sixty Miss Sixty (stylized as MISS SIXTY or MISS 60) is an Italian fashion Italy is one of the leading countries in fashion design, alongside France, the United States and the United Kingdom. Fashion has always been an important part of the country' ...
is a women's apparel brand * The number of cards in the game
Rack-O Rack-O is a Milton Bradley sequential- matching card game A card game is any game using playing cards as the primary device with which the game is played, be they traditional or game-specific. Countless card games exist, including famili ...
* The number of the French department Oise * Alpha 60 is a brain-computer in the movie ''Alphaville'' directed by
Jean-Luc Godard Jean-Luc Godard ( , ; ; 3 December 193013 September 2022) was a French-Swiss film director, screenwriter, and film critic. He rose to prominence as a pioneer of the French New Wave film movement of the 1960s, alongside such filmmakers as Fran ...
* The age for senior citizens in some cultures


In sports

* In darts, 60 (treble-twenty) is the highest score that can be achieved with a single dart. * New York Yankees Babe Ruth hit 60 home runs in 1927 during a 154-game season; although the record has been broken three times since then, by
Roger Maris Roger Eugene Maris (September 10, 1934 – December 14, 1985) was an American professional baseball right fielder who played 12 seasons in Major League Baseball (MLB). He is best known for setting a new MLB single-season home run record with 61 ...
, Mark McGwire, and
Barry Bonds Barry Lamar Bonds (born July 24, 1964) is an American former professional baseball left fielder who played 22 seasons in Major League Baseball (MLB). Bonds was a member of the Pittsburgh Pirates from 1986 to 1992 and the San Francisco Giants f ...
(with
Sammy Sosa Samuel Peralta Sosa (born November 12, 1968) is a Dominican-American former professional baseball right fielder. He played in Major League Baseball (MLB) for 19 seasons, primarily with the Chicago Cubs. After playing for the Texas Rangers and C ...
and
Aaron Judge Aaron James Judge (born April 26, 1992) is an American professional baseball outfielder for the New York Yankees of Major League Baseball (MLB). Judge was unanimously selected as the American League (AL) Rookie of the Year in 2017, and finishe ...
also exceeding that total), those records were set during a 162-game season. * In NCAA Division II, each member school may provide athletically-related financial aid in men's sports amounting to no more than the equivalent of 60 full scholarships. Basketball and football are excluded from this limit by rule. * The total number of minutes in an ice hockey game, divided into three periods. * The total number of minutes in a
gridiron football Gridiron football,"Gridiron football"
''Encyclopædia Britannica''. Ret ...
game, divided into four quarters.


See also

*
List of highways numbered 60 The following highways are numbered 60: International * Asian Highway 60 * European route E60 Australia * Bruxner Highway * Dawson Highway (Rolleston to Gladstone) - Queensland State Route 60 Brazil * BR-060 Canada * Alberta Highway 60 * ...


References


External links

* {{Integers, zero Integers