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Number

1,080

1,080 is a composite number, even, a calendar year.

Abundant Number Evil Number Flippable Gapful Number Harshad / Niven Pentagonal Practical Number Recamán's Sequence Semiperfect Number Year

Historical context — 1080 AD

Calendar year

Year 1080 (MLXXX) was a leap year starting on Wednesday of the Julian calendar.

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

Year facts

Year type
Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year
366
ISO weeks
53
Long year: contains 53 ISO weeks.
Started on
Thursday
January 1, 1080
Ended on
Friday
December 31, 1080
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1080s
1080–1089
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
946
946 years before 2026.

In other calendars

Hebrew
4840 / 4841 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
472 / 473 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Monkey
Sexagenary cycle position 57 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1623 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
458 / 459 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1072 / 1073 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1002 / 1001 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
11 bits
Reversed
801
Flips to (rotate 180°)
801
Recamán's sequence
a(4,259) = 1,080
Square (n²)
1,166,400
Cube (n³)
1,259,712,000
Divisor count
32
σ(n) — sum of divisors
3,600
φ(n) — Euler's totient
288
Sum of prime factors
20

Primality

Prime factorization: 2 3 × 3 3 × 5

Nearest primes: 1,069 (−11) · 1,087 (+7)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 18 · 20 · 24 · 27 · 30 · 36 · 40 · 45 · 54 · 60 · 72 · 90 · 108 · 120 · 135 · 180 · 216 · 270 · 360 · 540 (half) · 1080
Aliquot sum (sum of proper divisors): 2,520
Factor pairs (a × b = 1,080)
1 × 1080
2 × 540
3 × 360
4 × 270
5 × 216
6 × 180
8 × 135
9 × 120
10 × 108
12 × 90
15 × 72
18 × 60
20 × 54
24 × 45
27 × 40
30 × 36
First multiples
1,080 · 2,160 (double) · 3,240 · 4,320 · 5,400 · 6,480 · 7,560 · 8,640 · 9,720 · 10,800

Sums & aliquot sequence

As consecutive integers: 359 + 360 + 361 214 + 215 + 216 + 217 + 218 116 + 117 + … + 124 65 + 66 + … + 79
Aliquot sequence: 1,080 2,520 6,840 16,560 41,472 82,311 27,441 12,209 451 53 1 0 — terminates at zero

Representations

In words
one thousand eighty
Ordinal
1080th
Roman numeral
MLXXX
Binary
10000111000
Octal
2070
Hexadecimal
0x438
Base64
BDg=
One's complement
64,455 (16-bit)
In other bases
ternary (3) 1111000
quaternary (4) 100320
quinary (5) 13310
senary (6) 5000
septenary (7) 3102
nonary (9) 1430
undecimal (11) 8a2
duodecimal (12) 760
tridecimal (13) 651
tetradecimal (14) 572
pentadecimal (15) 4c0

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵απʹ
Mayan (base 20)
𝋢·𝋮·𝋠
Chinese
一千零八十
Chinese (financial)
壹仟零捌拾
In other modern scripts
Eastern Arabic ١٠٨٠ Devanagari १०८० Bengali ১০৮০ Tamil ௧௦௮௦ Thai ๑๐๘๐ Tibetan ༡༠༨༠ Khmer ១០៨០ Lao ໑໐໘໐ Burmese ၁၀၈၀

Digit at this position in famous constants

π — Pi (π)
Digit 1,080 = 9
e — Euler's number (e)
Digit 1,080 = 0
φ — Golden ratio (φ)
Digit 1,080 = 5
√2 — Pythagoras's (√2)
Digit 1,080 = 3
ln 2 — Natural log of 2
Digit 1,080 = 2
γ — Euler-Mascheroni (γ)
Digit 1,080 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1080, here are decompositions:

  • 11 + 1069 = 1080
  • 17 + 1063 = 1080
  • 19 + 1061 = 1080
  • 29 + 1051 = 1080
  • 31 + 1049 = 1080
  • 41 + 1039 = 1080
  • 47 + 1033 = 1080
  • 59 + 1021 = 1080

Showing the first eight; more decompositions exist.

Unicode codepoint
и
Cyrillic Small Letter I
U+0438
Lowercase letter (Ll)

UTF-8 encoding: D0 B8 (2 bytes).

Hex color
#000438
RGB(0, 4, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.56.

Address
0.0.4.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.56

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

Position in π

The digit sequence 1080 first appears in π at position 11,601 of the decimal expansion (the 11,601ordinal-suffix:st 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.