10,000,000 (ten million) is the
natural number
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 ...
following 9,999,999 and preceding 10,000,001.
In
scientific notation
Scientific notation is a way of expressing numbers that are too large or too small (usually would result in a long string of digits) to be conveniently written in decimal form. It may be referred to as scientific form or standard index form, o ...
, it is written as 10
7.
In
South Asia
South Asia is the southern subregion of Asia, which is defined in both geographical and ethno-cultural terms. The region consists of the countries of Afghanistan, Bangladesh, Bhutan, India, Maldives, Nepal, Pakistan, and Sri Lanka.;;;;;;;; ...
except for
Sri Lanka
Sri Lanka (, ; si, ශ්රී ලංකා, Śrī Laṅkā, translit-std=ISO (); ta, இலங்கை, Ilaṅkai, translit-std=ISO ()), formerly known as Ceylon and officially the Democratic Socialist Republic of Sri Lanka, is an ...
, it is known as the
crore
A crore (; abbreviated cr) denotes ten million (10,000,000 or 107 in scientific notation) and is equal to 100 lakh in the Indian numbering system. It is written as 1,00,00,000 with the local 2,2,3 style of digit group separators (one lakh is e ...
.
In
Cyrillic numerals, it is known as the vran (''вран'' —
raven
A raven is any of several larger-bodied bird species of the genus ''Corvus''. These species do not form a single taxonomic group within the genus. There is no consistent distinction between "crows" and "ravens", common names which are assigned t ...
).
Selected 8-digit numbers (10,000,001–99,999,999)
10,000,001 to 19,999,999
* 10,000,019 = smallest 8-digit
prime number
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways ...
* 10,001,628 = smallest
triangular number
A triangular number or triangle number counts objects arranged in an equilateral triangle. Triangular numbers are a type of figurate number, other examples being square numbers and cube numbers. The th triangular number is the number of dots in ...
with 8 digits and the 4,472nd triangular number
* 10,004,569 = 3163
2, the smallest 8-digit square
* 10,077,696 = 216
3 = 6
9, the smallest 8-digit cube
* 10,556,001 = 3249
2 = 57
4
* 10,609,137 =
Leyland number In number theory, a Leyland number is a number of the form
:x^y + y^x
where ''x'' and ''y'' are integers greater than 1. They are named after the mathematician Paul Leyland. The first few Leyland numbers are
: 8, 17, 32, 54, 57, 100, 145, 177, ...
* 10,976,184 = logarithmic number
* 11,111,111 =
repunit
In recreational mathematics, a repunit is a number like 11, 111, or 1111 that contains only the digit 1 — a more specific type of repdigit. The term stands for repeated unit and was coined in 1966 by Albert H. Beiler in his book ''Recreat ...
* 11,316,496 = 3364
2 = 58
4
* 11,390,625 = 3375
2 = 225
3 = 15
6
* 11,405,773 = Leonardo prime
* 11,436,171 =
Keith number
In number theory, a Keith number or repfigit number (short for repetitive Fibonacci-like digit) is a natural number n in a given number base b with k digits such that when a sequence is created such that the first k terms are the k digits of n and ...
* 11,485,154 =
Markov number
A Markov number or Markoff number is a positive integer ''x'', ''y'' or ''z'' that is part of a solution to the Markov Diophantine equation
:x^2 + y^2 + z^2 = 3xyz,\,
studied by .
The first few Markov numbers are
: 1, 2, 5, 13, 29, 34, 89 ...
* 11,881,376 = 26
5
* 11,943,936 = 3456
2
* 12,117,361 = 3481
2 = 59
4
* 12,252,240 = highly composite number, smallest number divisible by all the numbers 1 through 18
* 12,648,430 = hexadecimal C0FFEE, resembling the word "coffee"; used as a placeholder in computer programming, see
hexspeak Hexspeak, like leetspeak, is a novelty form of variant English spelling using the hexadecimal digits. Created by programmers as memorable magic numbers, hexspeak words can serve as a clear and unique identifier with which to mark memory or data.
H ...
.
* 12,890,625 = 1-
automorphic number
In mathematics, an automorphic number (sometimes referred to as a circular number) is a natural number in a given number base b whose square "ends" in the same digits as the number itself.
Definition and properties
Given a number base b, a natura ...
* 12,960,000 = 3600
2 = 60
4 = (3·4·5)
4,
Plato
Plato ( ; grc-gre, Πλάτων ; 428/427 or 424/423 – 348/347 BC) was a Greek philosopher born in Athens during the Classical period in Ancient Greece. He founded the Platonist school of thought and the Academy, the first institution ...
's "nuptial number" (''
Republic
A republic () is a "state in which power rests with the people or their representatives; specifically a state without a monarchy" and also a "government, or system of government, of such a state." Previously, especially in the 17th and 18th c ...
'' VIII; see
regular number
Regular numbers are numbers that evenly divide powers of 60 (or, equivalently, powers of 30). Equivalently, they are the numbers whose only prime divisors are 2, 3, and 5. As an example, 602 = 3600 = 48 ×&nb ...
)
* 12,988,816 = number of different ways of covering an 8-by-8 square with 32 1-by-2
dominoes
Dominoes is a family of tile-based games played with gaming pieces, commonly known as dominoes. Each domino is a rectangular tile, usually with a line dividing its face into two square ''ends''. Each end is marked with a number of spots (also ca ...
* 13,079,255 = number of free 16-ominoes
* 13,782,649 = Markov number
* 13,845,841 = 3721
2 = 61
4
* 14,348,907 = 243
3 = 27
5 = 3
15
* 14,352,282 = Leyland number
* 14,776,336 = 3844
2 = 62
4
* 14,930,352 =
Fibonacci number
In mathematics, the Fibonacci numbers, commonly denoted , form a sequence, the Fibonacci sequence, in which each number is the sum of the two preceding ones. The sequence commonly starts from 0 and 1, although some authors start the sequence from ...
* 15,485,863 = 1,000,000th prime number
* 15,548,694 = Fine number
* 15,752,961 = 3969
2 = 63
4
* 15,994,428 =
Pell number
In mathematics, the Pell numbers are an infinite sequence of integers, known since ancient times, that comprise the denominators of the closest rational approximations to the square root of 2. This sequence of approximations begins , , , , an ...
* 16,003,008 = 252
3
* 16,609,837 = Markov number
* 16,733,779 = number of ways to partition and then partition each cell (block) into subcells.
* 16,777,216 = 4096
2 = 256
3 = 64
4 = 16
6 = 8
8 = 4
12 = 2
24 —
hexadecimal
In mathematics and computing, the hexadecimal (also base-16 or simply hex) numeral system is a positional numeral system that represents numbers using a radix (base) of 16. Unlike the decimal system representing numbers using 10 symbols, hexa ...
"million" (0x1000000), number of possible colors in 24/32-bit
Truecolor computer graphics
* 16,777,792 = Leyland number
* 16,797,952 = Leyland number
* 16,964,653 = Markov number
* 17,016,602 = index of a prime
Woodall number
In number theory, a Woodall number (''W'n'') is any natural number of the form
:W_n = n \cdot 2^n - 1
for some natural number ''n''. The first few Woodall numbers are:
:1, 7, 23, 63, 159, 383, 895, … .
History
Woodall numbers were first st ...
* 17,210,368 = 28
5
* 17,650,828 = 1
1 + 2
2 + 3
3 + 4
4 + 5
5 + 6
6 + 7
7 + 8
8
* 17,850,625 = 4225
2 = 65
4
* 18,199,284 =
Motzkin number
In mathematics, the th Motzkin number is the number of different ways of drawing non-intersecting chords between points on a circle (not necessarily touching every point by a chord). The Motzkin numbers are named after Theodore Motzkin and have d ...
* 18,974,736 = 4356
2 = 66
4
* 19,487,171 = 11
7
* 19,680,277 =
Wedderburn-Etherington number
* 19,987,816 = palindromic in 3 consecutive bases: 41AAA14
13, 2924292
14, 1B4C4B1
15
20,000,000 to 29,999,999
* 20,031,170 = Markov number
* 20,151,121 = 4489
2 = 67
4
* 20,511,149 = 29
5
* 20,797,002 = number of triangle-free graphs on 13 vertices
* 21,381,376 = 4624
2 = 68
4
* 21,531,778 = Markov number
* 21,621,600 =
colossally abundant number
In mathematics, a colossally abundant number (sometimes abbreviated as CA) is a natural number that, in a particular, rigorous sense, has many divisors. Formally, a number ''n'' is said to be colossally abundant if there is an ε > 0 su ...
,
superior highly composite number
In mathematics, a superior highly composite number is a natural number which has the highest ratio of its number of divisors to ''some'' positive power of itself than any other number. It is a stronger restriction than that of a highly composite ...
* 22,222,222 =
repdigit
In recreational mathematics, a repdigit or sometimes monodigit is a natural number composed of repeated instances of the same digit in a positional number system (often implicitly decimal). The word is a portmanteau of repeated and digit.
Example ...
* 22,667,121 = 4761
2 = 69
4
* 24,010,000 = 4900
2 = 70
4
* 24,137,569 = 4913
2 = 289
3 = 17
6
* 24,157,817 = Fibonacci number,
Markov number
* 24,300,000 = 30
5
* 24,678,050 = equal to the sum of the eighth powers of its digits
* 24,684,612 = 1
8 + 2
8 + 3
8 + 4
8 + 5
8 + 6
8 + 7
8 + 8
8
* 24,883,200 = superfactorial of 6
* 25,411,681 = 5041
2 = 71
4
* 26,873,856 = 5184
2 = 72
4
* 27,644,437 =
Bell number
In combinatorial mathematics, the Bell numbers count the possible partitions of a set. These numbers have been studied by mathematicians since the 19th century, and their roots go back to medieval Japan. In an example of Stigler's law of eponymy ...
* 28,398,241 = 5329
2 = 73
4
* 28,629,151 = 31
5
* 29,986,576 = 5476
2 = 74
4
30,000,000 to 39,999,999
* 31,536,000 = standard 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 non-leap
year
A year or annus is the orbital period of a planetary body, for example, the Earth, moving in its orbit around the Sun. Due to the Earth's axial tilt, the course of a year sees the passing of the seasons, marked by change in weather, the hou ...
(omitting
leap second
A leap second is a one-second adjustment that is occasionally applied to Coordinated Universal Time (UTC), to accommodate the difference between precise time (International Atomic Time (TAI), as measured by atomic clocks) and imprecise observe ...
s)
* 31,622,400 = standard number of seconds in a leap year (omitting leap seconds)
* 31,640,625 = 5625
2 = 75
4
* 33,333,333 = repdigit
* 33,362,176 = 5776
2 = 76
4
* 33,445,755 = Keith number
* 33,550,336 = fifth
perfect number
In number theory, a perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself. For instance, 6 has divisors 1, 2 and 3 (excluding itself), and 1 + 2 + 3 = 6, so 6 is a perfect number.
T ...
* 33,554,432 = 32
5 = 2
25, Leyland number, number of directed graphs on 5 labeled nodes
* 33,555,057 = Leyland number
* 34,012,224 = 5832
2 = 324
3 = 18
6
* 35,153,041 = 5929
2 = 77
4
* 35,831,808 = 12
7 = 10,000,000
12 AKA a dozen-great-great-gross (10
12 great-great-grosses)
* 36,614,981 =
alternating factorial
* 36,926,037 = 333
3
* 37,015,056 = 6084
2 = 78
4
* 37,259,704 = 334
3
* 37,595,375 = 335
3
* 37,933,056 = 336
3
* 38,613,965 = Pell number,
Markov number
* 38,950,081 = 6241
2 = 79
4
* 39,088,169 = Fibonacci number
* 39,135,393 = 33
5
* 39,905,269 = number of square (0,1)-matrices without zero rows and with exactly 8 entries equal to 1
* 39,916,800 = 11
!
* 39,916,801 =
factorial prime
A factorial prime is a prime number that is one less or one more than a factorial (all factorials greater than 1 are even).
The first 10 factorial primes (for ''n'' = 1, 2, 3, 4, 6, 7, 11, 12, 14) are :
: 2 (0! +&n ...
40,000,000 to 49,999,999
* 40,353,607 = 343
3 = 7
9
* 40,960,000 = 6400
2 = 80
4
* 43,046,721 = 6561
2 = 81
4 = 9
8 = 3
16
* 43,050,817 = Leyland number
*
43,112,609 =
Mersenne prime
In mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number of the form for some integer . They are named after Marin Mersenne, a French Minim friar, who studied them in the early 17t ...
exponent
* 43,443,858 = palindromic in 3 consecutive bases: 3C323C3
15, 296E692
16, 1DA2AD1
17
* 43,484,701 = Markov number
* 44,121,607 = Keith number
* 44,444,444 = repdigit
* 45,136,576 = Leyland number
* 45,212,176 = 6724
2 = 82
2
* 45,435,424 = 34
5
* 46,026,618 = Wedderburn-Etherington number
* 46,656,000 = 360
3
* 46,749,427 = number of
partially ordered set
In mathematics, especially order theory, a partially ordered set (also poset) formalizes and generalizes the intuitive concept of an ordering, sequencing, or arrangement of the elements of a Set (mathematics), set. A poset consists of a set toget ...
with 11 unlabeled elements
* 47,045,881 = 6859
2 = 361
3 = 19
6
* 47,326,700 = first number of the first consecutive centuries each consisting wholly of
composite number
A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Equivalently, it is a positive integer that has at least one divisor other than 1 and itself. Every positive integer is composite, prime, ...
s
* 47,326,800 = first number of the first century with the same prime pattern (in this case, no
primes
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways ...
) as the previous century
* 47,458,321 = 6889
2 = 83
4
* 48,024,900 =
square triangular number
In mathematics, a square triangular number (or triangular square number) is a number which is both a triangular number and a perfect square. There are infinitely many square triangular numbers; the first few are:
:0, 1, 36, , , , , , ,
Expl ...
* 48,828,125 = 5
11
* 48,928,105 = Markov number
* 48,989,176 = Leyland number
* 49,787,136 = 7056
2 = 84
4
50,000,000 to 59,999,999
* 50,107,909 = number of free 17-ominoes
* 50,847,534 = The number of primes under 10
9
* 50,852,019 = Motzkin number
* 52,200,625 = 7225
2 = 85
4
* 52,521,875 = 35
5
* 54,700,816 = 7396
2 = 86
4
* 55,555,555 = repdigit
* 57,048,048 = Fine number
* 57,289,761 = 7569
2 = 87
4
* 57,885,161 =
Mersenne prime
In mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number of the form for some integer . They are named after Marin Mersenne, a French Minim friar, who studied them in the early 17t ...
exponent
* 59,969,536 = 7744
2 = 88
4
60,000,000 to 69,999,999
* 60,466,176 = 7776
2 = 36
5 = 6
10
* 61,466,176 = Leyland number
* 62,742,241 = 7921
2 = 89
4
* 62,748,517 = 13
7
* 63,245,986 = Fibonacci number, Markov number
* 64,000,000 = 8000
2 = 400
3 = 20
6 —
vigesimal
vigesimal () or base-20 (base-score) numeral system is based on twenty (in the same way in which the decimal numeral system is based on ten). '' Vigesimal'' is derived from the Latin adjective '' vicesimus'', meaning 'twentieth'.
Places
In ...
"million" (1 ''alau'' in
Mayan
Mayan most commonly refers to:
* Maya peoples, various indigenous peoples of Mesoamerica and northern Central America
* Maya civilization, pre-Columbian culture of Mesoamerica and northern Central America
* Mayan languages, language family spoken ...
, 1 ' in
Nahuatl
Nahuatl (; ), Aztec, or Mexicano is a language or, by some definitions, a group of languages of the Uto-Aztecan language family. Varieties of Nahuatl are spoken by about Nahua peoples, most of whom live mainly in Central Mexico and have smaller ...
)
* 65,610,000 = 8100
2 = 90
4
* 66,600,049 = Largest
minimal prime in base 10
* 66,666,666 = repdigit
* 67,108,864 = 8192
2 = 4
13 = 2
26
* 67,109,540 = Leyland number
* 67,137,425 = Leyland number
* 68,041,019 = number of parallelogram polyominoes with 23 cells.
* 68,574,961 = 8281
2 = 91
4
* 69,343,957 = 37
5
70,000,000 to 79,999,999
* 71,639,296 = 8464
2 = 92
4
* 72,546,283 = the smallest prime number preceded ''and'' followed by
prime gap
A prime gap is the difference between two successive prime numbers. The ''n''-th prime gap, denoted ''g'n'' or ''g''(''p'n'') is the difference between the (''n'' + 1)-th and the
''n''-th prime numbers, i.e.
:g_n = p_ - p_n.\
W ...
s of over 100
* 73,939,133 = the largest prime number that can be 'tailed' again and again by removing its last digit to produce only primes
* 74,207,281 =
Mersenne prime
In mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number of the form for some integer . They are named after Marin Mersenne, a French Minim friar, who studied them in the early 17t ...
exponent
* 74,805,201 = 8649
2 = 93
4
* 77,232,917 = Mersenne prime exponent
* 77,777,777 = repdigit
* 78,074,896 = 8836
2 = 94
4
* 78,442,645 = Markov number
* 79,235,168 = 38
5
80,000,000 to 89,999,999
* 81,450,625 = 9025
2 = 95
4
* 82,589,933 =
Mersenne prime
In mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number of the form for some integer . They are named after Marin Mersenne, a French Minim friar, who studied them in the early 17t ...
exponent
* 84,934,656 = 9216
2 = 96
4
* 85,766,121 = 9261
2 = 441
3 = 21
6
* 86,400,000 =
hyperfactorial
In mathematics, and more specifically number theory, the hyperfactorial of a positive integer n is the product of the numbers of the form x^x from 1^1 to n^n.
Definition
The hyperfactorial of a positive integer n is the product of the numbers ...
of 5; 1
1 × 2
2 × 3
3 × 4
4 × 5
5
* 87,109,376 = 1-
automorphic number
In mathematics, an automorphic number (sometimes referred to as a circular number) is a natural number in a given number base b whose square "ends" in the same digits as the number itself.
Definition and properties
Given a number base b, a natura ...
[
* 87,539,319 = ]taxicab number
In mathematics, the ''n''th taxicab number, typically denoted Ta(''n'') or Taxicab(''n''), also called the ''n''th Hardy–Ramanujan number, is defined as the smallest integer that can be expressed as a sum of two ''positive'' integer cubes in ...
* 88,529,281 = 94092 = 974
* 88,888,888 = repdigit
90,000,000 to 99,999,999
* 90,224,199 = 395
* 92,236,816 = 96042 = 984
* 93,222,358 = Pell number
* 93,554,688 = 2-automorphic number
In mathematics, an automorphic number (sometimes referred to as a circular number) is a natural number in a given number base b whose square "ends" in the same digits as the number itself.
Definition and properties
Given a number base b, a natura ...
* 94,109,401 = square 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 ...
* 94,418,953 = Markov prime
* 96,059,601 = 98012 = 994
* 99,897,344 = 4643, the largest 8-digit cube
* 99,980,001 = 99992, the largest 8-digit square
* 99,990,001 = unique prime
The reciprocals of prime numbers have been of interest to mathematicians for various reasons. They do not have a finite sum, as Leonhard Euler proved in 1737.
Like all rational numbers, the reciprocals of primes have repeating decimal represen ...
* 99,991,011 = largest triangular number
A triangular number or triangle number counts objects arranged in an equilateral triangle. Triangular numbers are a type of figurate number, other examples being square numbers and cube numbers. The th triangular number is the number of dots in ...
with 8 digits and the 14,141st triangular number
* 99,999,989 = greatest prime number with 8 digits[
]
* 99,999,999 = repdigit, Friedman number A Friedman number is an integer, which represented in a given numeral system, is the result of a non-trivial expression using all its own digits in combination with any of the four basic arithmetic operators (+, −, ×, ÷), additive inverses, p ...
, believed to be smallest number to be both repdigit and Friedman
See also
*Hebdometre
Hebdo- (symbol H) is an obsolete decimal metric prefix equal to 107. It is derived from the Greek ''hebdοmos'' ( el, ἕβδομος) meaning ''seventh''.
The definition of one ''hebdomometre'' or ''hebdometre'' as was originally proposed by R ...
References
{{DEFAULTSORT:10000000
Integers