1,180
1,180 is a composite number, even, a calendar year.
1,180 (one thousand one hundred eighty) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 59. Its proper divisors sum to 1,340, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCLXXX and in binary, 10010011100.
Interestingness
Historical context — 1180 AD
Calendar year
Year 1180 (MCLXXX) was a leap year starting on Tuesday of the Julian calendar.
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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
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,180 = [34; (2, 1, 5, 1, 1, 2, 1, 2, 1, 2, 1, 1, 5, 1, 2, 68)]
Period length 16 — the block in parentheses repeats forever.
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)
- Scientific notation
- 1.18 × 10³
- As a duration
- 1,180 s = 19 minutes, 40 seconds
As an angle
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
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'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.
UTF-8 encoding: D2 9C (2 bytes).
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.
Heard as a frequency, 1,180 Hz is closest to:
- Concert pitch (A4 = 440 Hz): D6 (1174.7 Hz, +8¢)
- Scientific pitch (C4 = 256 Hz): D6 (1149.4 Hz, +45¢ — about midway to D♯6)
- Baroque pitch (A4 = 415 Hz): D♯6 (1173.8 Hz, +9¢)
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.
Related reading
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.