2016 (number)

← 2015 2016 2017 →
List of numbers; Integers; ← 0 1k 2k 3k 4k 5k 6k 7k 8k 9k →
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.

In mathematics

2016 is a triangular number, being 1 + 2 + 3 + ... + 63. Equivalently, ${\tbinom {64}{2}}=2016$ .
2016 is a 24-gonal number (sequence A051876 in the OEIS) and a generalized 28-gonal (icosioctagonal) number (sequence A303812 in the OEIS).
2016 has 36 divisors.
2¹¹ − 2⁵ = 2016.
2016 forms a friendly pair with 360, as ${\dfrac {\sigma (360)}{360}}={\dfrac {1170}{360}}={\dfrac {13}{4}}=3.25$ and ${\dfrac {\sigma (2016)}{2016}}={\dfrac {6552}{2016}}={\dfrac {13}{4}}=3.25$ . The number 360 itself is a highly composite number, while 2016, while not highly composite, is highly composite among the positive integers not divisible by five.
2016 × 2 + 1 = 4033. Although 4033 is not prime, as 4033 = 37 × 109, it is a strong pseudoprime to base 2 (sequence A001262 in the OEIS). Aside from 2016, the only other numbers below 10,000 with this property are 1023, 1638, 2340, 4160, and 7920.
There are 2016 five-cubes in a nine-cube.
2016 is an Erdős–Nicolas number (sequence A194472 in the OEIS) because, while not perfect, 2016 is the sum of its first 31 divisors (up to and including 288).
2016 × 20 = 40,320 = $8!$ (read as "8 factorial").
${{2016^{17}+1} \over 2017}$ is prime. Since 2017 is similarly prime, 2016¹⁷ + 1 is a semiprime. (sequence A104494 in the OEIS)

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