number.wiki
Number

2,016

2,016 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Hexagonal Practical Number Recamán's Sequence Semiperfect Number Triangular Year

Notable events — 2016 AD

  1. Jun 12 A gunman kills 49 at the Pulse nightclub in Orlando.
  2. Jun 23 The United Kingdom votes to leave the European Union — "Brexit".
  3. Jul 6 Pokémon Go launches, kicking off a global augmented-reality craze.
  4. Aug 5 The Summer Olympics open in Rio de Janeiro, the first held in South America.
  5. Nov 2 The Chicago Cubs win the World Series, ending a 108-year drought.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

Year facts

Year type
Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year
366
ISO weeks
52
Started on
Friday
January 1, 2016
Ended on
Saturday
December 31, 2016
Friday the 13ths
1
One Friday the 13th this year.
Easter Sunday
March 27
Sunday, March 27, 2016
Decade
2010s
2010–2019
Century
21st century
2001–2100
Millennium
3rd millennium
2001–3000
Years ago
10
10 years before 2026.
US presidential election
Yes
US holds a presidential election in years divisible by 4 starting from 1788.
Summer Olympics
Yes

In other calendars

Hebrew
5776 / 5777 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1437 / 1438 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Monkey
Sexagenary cycle position 33 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2559 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1394 / 1395 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
2008 / 2009 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1938 / 1937 Saka
Indian national calendar; year starts in March.
Japanese
Heisei 28
Reign-era counting from the start of each emperor's reign.

Properties

Parity
Even
Digit count
4
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
11 bits
Reversed
6,102
Recamán's sequence
a(3,719) = 2,016
Square (n²)
4,064,256
Cube (n³)
8,193,540,096
Divisor count
36
σ(n) — sum of divisors
6,552
φ(n) — Euler's totient
576
Sum of prime factors
23

Primality

Prime factorization: 2 5 × 3 2 × 7

Nearest primes: 2,011 (−5) · 2,017 (+1)

Divisors & multiples

All divisors (36)
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 (half) · 2016
Aliquot sum (sum of proper divisors): 4,536
Factor pairs (a × b = 2,016)
1 × 2016
2 × 1008
3 × 672
4 × 504
6 × 336
7 × 288
8 × 252
9 × 224
12 × 168
14 × 144
16 × 126
18 × 112
21 × 96
24 × 84
28 × 72
32 × 63
36 × 56
42 × 48
First multiples
2,016 · 4,032 (double) · 6,048 · 8,064 · 10,080 · 12,096 · 14,112 · 16,128 · 18,144 · 20,160

Sums & aliquot sequence

As consecutive integers: 671 + 672 + 673 285 + 286 + … + 291 220 + 221 + … + 228 86 + 87 + … + 106
Aliquot sequence: 2,016 4,536 9,984 18,632 18,628 13,978 7,802 4,294 2,546 1,534 986 634 320 442 314 160 218 — unresolved within range

Representations

In words
two thousand sixteen
Ordinal
2016th
Roman numeral
MMXVI
Binary
11111100000
Octal
3740
Hexadecimal
0x7E0
Base64
B+A=
One's complement
63,519 (16-bit)
In other bases
ternary (3) 2202200
quaternary (4) 133200
quinary (5) 31031
senary (6) 13200
septenary (7) 5610
nonary (9) 2680
undecimal (11) 1573
duodecimal (12) 1200
tridecimal (13) bc1
tetradecimal (14) a40
pentadecimal (15) 8e6

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵βιϛʹ
Mayan (base 20)
𝋥·𝋠·𝋰
Chinese
二千零一十六
Chinese (financial)
貳仟零壹拾陸
In other modern scripts
Eastern Arabic ٢٠١٦ Devanagari २०१६ Bengali ২০১৬ Tamil ௨௦௧௬ Thai ๒๐๑๖ Tibetan ༢༠༡༦ Khmer ២០១៦ Lao ໒໐໑໖ Burmese ၂၀၁၆

Digit at this position in famous constants

π — Pi (π)
Digit 2,016 = 6
e — Euler's number (e)
Digit 2,016 = 9
φ — Golden ratio (φ)
Digit 2,016 = 0
√2 — Pythagoras's (√2)
Digit 2,016 = 6
ln 2 — Natural log of 2
Digit 2,016 = 3
γ — Euler-Mascheroni (γ)
Digit 2,016 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2016, here are decompositions:

  • 5 + 2011 = 2016
  • 13 + 2003 = 2016
  • 17 + 1999 = 2016
  • 19 + 1997 = 2016
  • 23 + 1993 = 2016
  • 29 + 1987 = 2016
  • 37 + 1979 = 2016
  • 43 + 1973 = 2016

Showing the first eight; more decompositions exist.

Unicode codepoint
ߠ
Nko Letter Na Woloso
U+07E0
Other letter (Lo)

UTF-8 encoding: DF A0 (2 bytes).

Hex color
#0007E0
RGB(0, 7, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.224.

Address
0.0.7.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.7.224

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 2016 first appears in π at position 7,174 of the decimal expansion (the 7,174ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.