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Number

1,090

1,090 is a composite number, even, a calendar year.

Deficient Number Flippable Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree Year

Historical context — 1090 AD

Calendar year

Year 1090 (MXC) was a common year starting on Tuesday of the Julian calendar.

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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
Wednesday
January 1, 1090
Ended on
Wednesday
December 31, 1090
Friday the 13ths
1
One Friday the 13th this year.
Decade
1090s
1090–1099
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
936
936 years before 2026.

In other calendars

Hebrew
4850 / 4851 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
482 / 483 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Horse
Sexagenary cycle position 7 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1633 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
468 / 469 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1082 / 1083 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1012 / 1011 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
11 bits
Reversed
901
Flips to (rotate 180°)
601
Recamán's sequence
a(288) = 1,090
Square (n²)
1,188,100
Cube (n³)
1,295,029,000
Divisor count
8
σ(n) — sum of divisors
1,980
φ(n) — Euler's totient
432
Sum of prime factors
116

Primality

Prime factorization: 2 × 5 × 109

Nearest primes: 1,087 (−3) · 1,091 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 5 · 10 · 109 · 218 · 545 (half) · 1090
Aliquot sum (sum of proper divisors): 890
Factor pairs (a × b = 1,090)
1 × 1090
2 × 545
5 × 218
10 × 109
First multiples
1,090 · 2,180 (double) · 3,270 · 4,360 · 5,450 · 6,540 · 7,630 · 8,720 · 9,810 · 10,900

Sums & aliquot sequence

As a sum of two squares: 1² + 33² = 19² + 27²
As consecutive integers: 271 + 272 + 273 + 274 216 + 217 + 218 + 219 + 220 45 + 46 + … + 64
Aliquot sequence: 1,090 890 730 602 454 230 202 104 106 56 64 63 41 1 0 — terminates at zero

Representations

In words
one thousand ninety
Ordinal
1090th
Roman numeral
MXC
Binary
10001000010
Octal
2102
Hexadecimal
0x442
Base64
BEI=
One's complement
64,445 (16-bit)
In other bases
ternary (3) 1111101
quaternary (4) 101002
quinary (5) 13330
senary (6) 5014
septenary (7) 3115
nonary (9) 1441
undecimal (11) 901
duodecimal (12) 76a
tridecimal (13) 65b
tetradecimal (14) 57c
pentadecimal (15) 4ca

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋
Egyptian hieroglyphic
𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵αϟʹ
Mayan (base 20)
𝋢·𝋮·𝋪
Chinese
一千零九十
Chinese (financial)
壹仟零玖拾
In other modern scripts
Eastern Arabic ١٠٩٠ Devanagari १०९० Bengali ১০৯০ Tamil ௧௦௯௦ Thai ๑๐๙๐ Tibetan ༡༠༩༠ Khmer ១០៩០ Lao ໑໐໙໐ Burmese ၁၀၉၀

Digit at this position in famous constants

π — Pi (π)
Digit 1,090 = 5
e — Euler's number (e)
Digit 1,090 = 7
φ — Golden ratio (φ)
Digit 1,090 = 3
√2 — Pythagoras's (√2)
Digit 1,090 = 5
ln 2 — Natural log of 2
Digit 1,090 = 6
γ — Euler-Mascheroni (γ)
Digit 1,090 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1090, here are decompositions:

  • 3 + 1087 = 1090
  • 29 + 1061 = 1090
  • 41 + 1049 = 1090
  • 59 + 1031 = 1090
  • 71 + 1019 = 1090
  • 107 + 983 = 1090
  • 113 + 977 = 1090
  • 137 + 953 = 1090

Showing the first eight; more decompositions exist.

Unicode codepoint
т
Cyrillic Small Letter Te
U+0442
Lowercase letter (Ll)

UTF-8 encoding: D1 82 (2 bytes).

Hex color
#000442
RGB(0, 4, 66)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.66.

Address
0.0.4.66
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.66

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

Position in π

The digit sequence 1090 first appears in π at position 15,711 of the decimal expansion (the 15,711ordinal-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.