| ||||
---|---|---|---|---|
Cardinal | two thousand sixteen | |||
Ordinal | 2016th (two thousand sixteenth) | |||
Factorization | 25 × 32 × 7 | |||
Divisors | 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 224, 252, 288, 336, 504, 672, 1008, 2016 | |||
Greek numeral | ,ΒΙϚ´ | |||
Roman numeral | MMXVI | |||
Binary | 111111000002 | |||
Ternary | 22022003 | |||
Senary | 132006 | |||
Octal | 37408 | |||
Duodecimal | 120012 | |||
Hexadecimal | 7E016 |
2016 is the natural number following 2015 and preceding 2017.
2016 is the second-smallest Erdős–Nicolas number (after 24) because, while not perfect, 2016 is the sum of its first 31 divisors (up to and including 288). [1] Furthermore, the sum of the following four divisors before its last (2016) is in equivalence with 2520, which is the first number to be divisible by all integers less than or equal to 10. It is one less than a prime number (2017), the 306th indexed prime. [2]
2016 is a triangular number, [3] where,
It is also an hexagonal number, [4] the fourteenth 24-gonal number, [5] and in-turn the twenty-fourth generalized 28-gonal (icosioctagonal) number. [6] 2016 has a total of 36 divisors, where 36 = 6 2 is the eighth triangular number (and 36 = 20 + 16). [3]
2016 is the number of rooted Eulerian planar maps with five edges. [7]
2016 is the smallest magic constant of a magic square made of eight consecutive prime numbers. [8]
2016 is the number of invertible matrices [9]
2016 is coefficient of Eisenstein series [10] (where 63 is the forty-fourth composite number), [11] and Fourrier coefficient of [12]
There are 2016 five-cubes in a nine-cube, and there are 2016 different lines determined by pair of vertices in a six-cube. [13]
2016 forms a friendly pair with 360 , since they share the same abundancy:
The number 360 is itself a highly composite number, [14] while 2016 — which is not strictly highly composite — is highly composite among the positive integers not divisible by 5 (cf. with highly composite numbers of class 4, where it is the eleventh element).
Amongst triangular numbers, 2016 is also highly composite, preceding the sequence [15]
2016 is also the order of the 44th largest non-solvable group, where 360 is the 8th such order. [16]
is a strong pseudoprime to base 2; [18] aside from 2016, only five other numbers below 10,000 share this property (1023, 1638, 2340, 4160, and 7920).
2016 is the number of different products (including the empty product) of any subset of [19]
10 (ten) is the even natural number following 9 and preceding 11. Ten is the base of the decimal numeral system, the most common system of denoting numbers in both spoken and written language.
19 (nineteen) is the natural number following 18 and preceding 20. It is a prime number.
21 (twenty-one) is the natural number following 20 and preceding 22.
90 (ninety) is the natural number following 89 and preceding 91.
35 (thirty-five) is the natural number following 34 and preceding 36.
105 is the natural number following 104 and preceding 106.
1000 or one thousand is the natural number following 999 and preceding 1001. In most English-speaking countries, it can be written with or without a comma or sometimes a period separating the thousands digit: 1,000.
300 is the natural number following 299 and preceding 301.
360 is the natural number following 359 and preceding 361.
700 is the natural number following 699 and preceding 701.
2000 is a natural number following 1999 and preceding 2001.
4000 is the natural number following 3999 and preceding 4001. It is a decagonal number.
1,000,000,000 is the natural number following 999,999,999 and preceding 1,000,000,001. With a number, "billion" can be abbreviated as b, bil or bn.
100,000 (one hundred thousand) is the natural number following 99,999 and preceding 100,001. In scientific notation, it is written as 105.
168 is the natural number following 167 and preceding 169.
1728 is the natural number following 1727 and preceding 1729. It is a dozen gross, or one great gross. It is also the number of cubic inches in a cubic foot.
288 is the natural number following 287 and preceding 289. Because 288 = 2 · 12 · 12, it may also be called "two gross" or "two dozen dozen".
744 is the natural number following 743 and preceding 745.
20,000 is the natural number that comes after 19,999 and before 20,001.
888 is the natural number following 887 and preceding 889.