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Number

2,090

2,090 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Recamán's Sequence Semiperfect Number Squarefree Year

Historical context — 2090 AD

Current millennium spanning the years 2001 to 3000

The third millennium of the Anno Domini or Common Era is the current millennium spanning the years 2001 to 3000.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

Year facts

Year type
Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year
365
ISO weeks
52
Started on
Sunday
January 1, 2090
Ended on
Sunday
December 31, 2090
Friday the 13ths
2
2 Friday the 13ths this year.
Easter Sunday
April 16
Sunday, April 16, 2090
Decade
2090s
2090–2099
Century
21st century
2001–2100
Millennium
3rd millennium
2001–3000
Years until
64
64 years after 2026.
FIFA World Cup
Yes
Men's FIFA World Cup is held every four years (skipped 1942 and 1946 due to WWII).
Winter Olympics
Yes
Held in even years between Summer Games (2002, 2006, ...).

In other calendars

Hebrew
5850 / 5851 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1513 / 1514 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Dog
Sexagenary cycle position 47 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2633 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1468 / 1469 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
2082 / 2083 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
2012 / 2011 Saka
Indian national calendar; year starts in March.
Japanese
Reiwa 72
Reign-era counting from the start of each emperor's reign.

Properties

Parity
Even
Digit count
4
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
12 bits
Reversed
902
Recamán's sequence
a(3,571) = 2,090
Square (n²)
4,368,100
Cube (n³)
9,129,329,000
Divisor count
16
σ(n) — sum of divisors
4,320
φ(n) — Euler's totient
720
Sum of prime factors
37

Primality

Prime factorization: 2 × 5 × 11 × 19

Nearest primes: 2,089 (−1) · 2,099 (+9)

Divisors & multiples

All divisors (16)
1 · 2 · 5 · 10 · 11 · 19 · 22 · 38 · 55 · 95 · 110 · 190 · 209 · 418 · 1045 (half) · 2090
Aliquot sum (sum of proper divisors): 2,230
Factor pairs (a × b = 2,090)
1 × 2090
2 × 1045
5 × 418
10 × 209
11 × 190
19 × 110
22 × 95
38 × 55
First multiples
2,090 · 4,180 (double) · 6,270 · 8,360 · 10,450 · 12,540 · 14,630 · 16,720 · 18,810 · 20,900

Sums & aliquot sequence

As consecutive integers: 521 + 522 + 523 + 524 416 + 417 + 418 + 419 + 420 185 + 186 + … + 195 101 + 102 + … + 119
Aliquot sequence: 2,090 2,230 1,802 1,114 560 928 962 634 320 442 314 160 218 112 136 134 70 — unresolved within range

Representations

In words
two thousand ninety
Ordinal
2090th
Roman numeral
MMXC
Binary
100000101010
Octal
4052
Hexadecimal
0x82A
Base64
CCo=
One's complement
63,445 (16-bit)
In other bases
ternary (3) 2212102
quaternary (4) 200222
quinary (5) 31330
senary (6) 13402
septenary (7) 6044
nonary (9) 2772
undecimal (11) 1630
duodecimal (12) 1262
tridecimal (13) c4a
tetradecimal (14) a94
pentadecimal (15) 945

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵βϟʹ
Mayan (base 20)
𝋥·𝋤·𝋪
Chinese
二千零九十
Chinese (financial)
貳仟零玖拾
In other modern scripts
Eastern Arabic ٢٠٩٠ Devanagari २०९० Bengali ২০৯০ Tamil ௨௦௯௦ Thai ๒๐๙๐ Tibetan ༢༠༩༠ Khmer ២០៩០ Lao ໒໐໙໐ Burmese ၂၀၉၀

Digit at this position in famous constants

π — Pi (π)
Digit 2,090 = 4
e — Euler's number (e)
Digit 2,090 = 7
φ — Golden ratio (φ)
Digit 2,090 = 0
√2 — Pythagoras's (√2)
Digit 2,090 = 9
ln 2 — Natural log of 2
Digit 2,090 = 1
γ — Euler-Mascheroni (γ)
Digit 2,090 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2090, here are decompositions:

  • 3 + 2087 = 2090
  • 7 + 2083 = 2090
  • 37 + 2053 = 2090
  • 61 + 2029 = 2090
  • 73 + 2017 = 2090
  • 79 + 2011 = 2090
  • 97 + 1993 = 2090
  • 103 + 1987 = 2090

Showing the first eight; more decompositions exist.

Unicode codepoint
Samaritan Vowel Sign I
U+082A
Non-spacing mark (Mn)

UTF-8 encoding: E0 A0 AA (3 bytes).

Hex color
#00082A
RGB(0, 8, 42)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.42.

Address
0.0.8.42
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.8.42

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

Position in π

The digit sequence 2090 first appears in π at position 19,147 of the decimal expansion (the 19,147ordinal-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.