10,000,000 (number)
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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 ...
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 107. In
South Asia South Asia is the southern subregion of Asia, which is defined in both geographical Geography (from Greek: , ''geographia''. Combination of Greek words ‘Geo’ (The Earth) and ‘Graphien’ (to describe), literally "earth descr ...
except for Sri Lanka, it is known as the crore. In Cyrillic numerals, it is known as the vran (''вран'' — raven).


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 i ...
with 8 digits and the 4,472nd triangular number * 10,004,569 = 31632, the smallest 8-digit square * 10,077,696 = 2163 = 69, the smallest 8-digit cube * 10,556,001 = 32492 = 574 * 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 = 33642 = 584 * 11,390,625 = 33752 = 2253 = 156 * 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 = 265 * 11,943,936 = 34562 * 12,117,361 = 34812 = 594 * 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 = 36002 = 604 = (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'' 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 c ...
* 13,079,255 = number of free 16-ominoes * 13,782,649 = Markov number * 13,845,841 = 37212 = 614 * 14,348,907 = 2433 = 275 = 315 * 14,352,282 = Leyland number * 14,776,336 = 38442 = 624 * 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 = 39692 = 634 * 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 = 2523 * 16,609,837 = Markov number * 16,733,779 = number of ways to partition and then partition each cell (block) into subcells. * 16,777,216 = 40962 = 2563 = 644 = 166 = 88 = 412 = 224hexadecimal "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 = 285 * 17,650,828 = 11 + 22 + 33 + 44 + 55 + 66 + 77 + 88 * 17,850,625 = 42252 = 654 * 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 = 43562 = 664 * 19,487,171 = 117 * 19,680,277 = Wedderburn-Etherington number * 19,987,816 = palindromic in 3 consecutive bases: 41AAA1413, 292429214, 1B4C4B115


20,000,000 to 29,999,999

* 20,031,170 = Markov number * 20,151,121 = 44892 = 674 * 20,511,149 = 295 * 20,797,002 = number of triangle-free graphs on 13 vertices * 21,381,376 = 46242 = 684 * 21,531,778 = Markov number * 21,621,600 = colossally abundant number, superior highly composite number * 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 = 47612 = 694 * 24,010,000 = 49002 = 704 * 24,137,569 = 49132 = 2893 = 176 * 24,157,817 = Fibonacci number, Markov number * 24,300,000 = 305 * 24,678,050 = equal to the sum of the eighth powers of its digits * 24,684,612 = 18 + 28 + 38 + 48 + 58 + 68 + 78 + 88 * 24,883,200 = superfactorial of 6 * 25,411,681 = 50412 = 714 * 26,873,856 = 51842 = 724 * 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 = 53292 = 734 * 28,629,151 = 315 * 29,986,576 = 54762 = 744


30,000,000 to 39,999,999

* 31,536,000 = standard number of seconds 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 observ ...
s) * 31,622,400 = standard number of seconds in a leap year (omitting leap seconds) * 31,640,625 = 56252 = 754 * 33,333,333 = repdigit * 33,362,176 = 57762 = 764 * 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. ...
* 33,554,432 = 325 = 225, Leyland number, number of directed graphs on 5 labeled nodes * 33,555,057 = Leyland number * 34,012,224 = 58322 = 3243 = 186 * 35,153,041 = 59292 = 774 * 35,831,808 = 127 = 10,000,00012 AKA a dozen-great-great-gross (1012 great-great-grosses) * 36,614,981 = alternating factorial * 36,926,037 = 3333 * 37,015,056 = 60842 = 784 * 37,259,704 = 3343 * 37,595,375 = 3353 * 37,933,056 = 3363 * 38,613,965 = Pell number, Markov number * 38,950,081 = 62412 = 794 * 39,088,169 = Fibonacci number * 39,135,393 = 335 * 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 = 3433 = 79 * 40,960,000 = 64002 = 804 * 43,046,721 = 65612 = 814 = 98 = 316 * 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 17th ...
exponent * 43,443,858 = palindromic in 3 consecutive bases: 3C323C315, 296E69216, 1DA2AD117 * 43,484,701 = Markov number * 44,121,607 = Keith number * 44,444,444 = repdigit * 45,136,576 = Leyland number * 45,212,176 = 67242 = 822 * 45,435,424 = 345 * 46,026,618 = Wedderburn-Etherington number * 46,656,000 = 3603 * 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. A poset consists of a set together with a bina ...
with 11 unlabeled elements * 47,045,881 = 68592 = 3613 = 196 * 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 = 68892 = 834 * 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 = 511 * 48,928,105 = Markov number * 48,989,176 = Leyland number * 49,787,136 = 70562 = 844


50,000,000 to 59,999,999

* 50,107,909 = number of free 17-ominoes * 50,847,534 = The number of primes under 109 * 50,852,019 = Motzkin number * 52,200,625 = 72252 = 854 * 52,521,875 = 355 * 54,700,816 = 73962 = 864 * 55,555,555 = repdigit * 57,048,048 = Fine number * 57,289,761 = 75692 = 874 * 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 17th ...
exponent * 59,969,536 = 77442 = 884


60,000,000 to 69,999,999

* 60,466,176 = 77762 = 365 = 610 * 61,466,176 = Leyland number * 62,742,241 = 79212 = 894 * 62,748,517 = 137 * 63,245,986 = Fibonacci number, Markov number * 64,000,000 = 80002 = 4003 = 206vigesimal "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) * 65,610,000 = 81002 = 904 * 66,600,049 = Largest minimal prime in base 10 * 66,666,666 = repdigit * 67,108,864 = 81922 = 413 = 226 * 67,109,540 = Leyland number * 67,137,425 = Leyland number * 68,041,019 = number of parallelogram polyominoes with 23 cells. * 68,574,961 = 82812 = 914 * 69,343,957 = 375


70,000,000 to 79,999,999

* 71,639,296 = 84642 = 924 * 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 17th ...
exponent * 74,805,201 = 86492 = 934 * 77,232,917 = Mersenne prime exponent * 77,777,777 = repdigit * 78,074,896 = 88362 = 944 * 78,442,645 = Markov number * 79,235,168 = 385


80,000,000 to 89,999,999

* 81,450,625 = 90252 = 954 * 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 17th ...
exponent * 84,934,656 = 92162 = 964 * 85,766,121 = 92612 = 4413 = 216 * 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; 11 × 22 × 33 × 44 × 55 * 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 i ...
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, pa ...
, 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