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Number

1,180

1,180 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Flippable Gapful Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Year

Historical context — 1180 AD

Calendar year

Year 1180 (MCLXXX) was a leap year starting on Tuesday 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
52
Started on
Tuesday
January 1, 1180
Ended on
Wednesday
December 31, 1180
Friday the 13ths
1
One Friday the 13th this year.
Decade
1180s
1180–1189
Century
12th century
1101–1200
Millennium
2nd millennium
1001–2000
Years ago
846
846 years before 2026.

In other calendars

Hebrew
4940 / 4941 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
575 / 576 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Rat
Sexagenary cycle position 37 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1723 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
558 / 559 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1172 / 1173 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1102 / 1101 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
811
Flips to (rotate 180°)
811
Recamán's sequence
a(1,812) = 1,180
Square (n²)
1,392,400
Cube (n³)
1,643,032,000
Divisor count
12
σ(n) — sum of divisors
2,520
φ(n) — Euler's totient
464
Sum of prime factors
68

Primality

Prime factorization: 2 2 × 5 × 59

Nearest primes: 1,171 (−9) · 1,181 (+1)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 59 · 118 · 236 · 295 · 590 (half) · 1180
Aliquot sum (sum of proper divisors): 1,340
Factor pairs (a × b = 1,180)
1 × 1180
2 × 590
4 × 295
5 × 236
10 × 118
20 × 59
First multiples
1,180 · 2,360 (double) · 3,540 · 4,720 · 5,900 · 7,080 · 8,260 · 9,440 · 10,620 · 11,800

Sums & aliquot sequence

As consecutive integers: 234 + 235 + 236 + 237 + 238 144 + 145 + … + 151 10 + 11 + … + 49
Aliquot sequence: 1,180 1,340 1,516 1,144 1,376 1,396 1,054 674 340 416 466 236 184 176 196 203 37 — unresolved within range

Representations

In words
one thousand one hundred eighty
Ordinal
1180th
Roman numeral
MCLXXX
Binary
10010011100
Octal
2234
Hexadecimal
0x49C
Base64
BJw=
One's complement
64,355 (16-bit)
In other bases
ternary (3) 1121201
quaternary (4) 102130
quinary (5) 14210
senary (6) 5244
septenary (7) 3304
nonary (9) 1551
undecimal (11) 983
duodecimal (12) 824
tridecimal (13) 6ca
tetradecimal (14) 604
pentadecimal (15) 53a

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵αρπʹ
Mayan (base 20)
𝋢·𝋳·𝋠
Chinese
一千一百八十
Chinese (financial)
壹仟壹佰捌拾
In other modern scripts
Eastern Arabic ١١٨٠ Devanagari ११८० Bengali ১১৮০ Tamil ௧௧௮௦ Thai ๑๑๘๐ Tibetan ༡༡༨༠ Khmer ១១៨០ Lao ໑໑໘໐ Burmese ၁၁၈၀

Digit at this position in famous constants

π — Pi (π)
Digit 1,180 = 7
e — Euler's number (e)
Digit 1,180 = 7
φ — Golden ratio (φ)
Digit 1,180 = 4
√2 — Pythagoras's (√2)
Digit 1,180 = 8
ln 2 — Natural log of 2
Digit 1,180 = 3
γ — Euler-Mascheroni (γ)
Digit 1,180 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1180, here are decompositions:

  • 17 + 1163 = 1180
  • 29 + 1151 = 1180
  • 71 + 1109 = 1180
  • 83 + 1097 = 1180
  • 89 + 1091 = 1180
  • 131 + 1049 = 1180
  • 149 + 1031 = 1180
  • 167 + 1013 = 1180

Showing the first eight; more decompositions exist.

Unicode codepoint
Ҝ
Cyrillic Capital Letter Ka With Vertical Stroke
U+049C
Uppercase letter (Lu)

UTF-8 encoding: D2 9C (2 bytes).

Hex color
#00049C
RGB(0, 4, 156)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.156.

Address
0.0.4.156
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.156

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000001180
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 1180 first appears in π at position 27,337 of the decimal expansion (the 27,337ordinal-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.