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Number

1,178

1,178 is a composite number, even, a calendar year.

Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree Year

Historical context — 1178 AD

Calendar year

Year 1178 (MCLXXVIII) was a common year starting on Sunday of the Julian calendar, the 1178th year of the Common Era (CE) and Anno Domini (AD) designations, the 178th year of the 2nd millennium, the 78th year of the 12th century, and the 9th year of the 1170s decade.

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, 1178
Ended on
Sunday
December 31, 1178
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1170s
1170–1179
Century
12th century
1101–1200
Millennium
2nd millennium
1001–2000
Years ago
848
848 years before 2026.

In other calendars

Hebrew
4938 / 4939 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
573 / 574 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Dog
Sexagenary cycle position 35 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1721 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
556 / 557 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1170 / 1171 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1100 / 1099 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
17
Digit product
56
Digital root
8
Palindrome
No
Bit width
11 bits
Reversed
8,711
Recamán's sequence
a(1,816) = 1,178
Square (n²)
1,387,684
Cube (n³)
1,634,691,752
Divisor count
8
σ(n) — sum of divisors
1,920
φ(n) — Euler's totient
540
Sum of prime factors
52

Primality

Prime factorization: 2 × 19 × 31

Nearest primes: 1,171 (−7) · 1,181 (+3)

Divisors & multiples

All divisors (8)
1 · 2 · 19 · 31 · 38 · 62 · 589 (half) · 1178
Aliquot sum (sum of proper divisors): 742
Factor pairs (a × b = 1,178)
1 × 1178
2 × 589
19 × 62
31 × 38
First multiples
1,178 · 2,356 (double) · 3,534 · 4,712 · 5,890 · 7,068 · 8,246 · 9,424 · 10,602 · 11,780

Sums & aliquot sequence

As consecutive integers: 293 + 294 + 295 + 296 53 + 54 + … + 71 23 + 24 + … + 53
Aliquot sequence: 1,178 742 554 280 440 640 890 730 602 454 230 202 104 106 56 64 63 — unresolved within range

Representations

In words
one thousand one hundred seventy-eight
Ordinal
1178th
Roman numeral
MCLXXVIII
Binary
10010011010
Octal
2232
Hexadecimal
0x49A
Base64
BJo=
One's complement
64,357 (16-bit)
In other bases
ternary (3) 1121122
quaternary (4) 102122
quinary (5) 14203
senary (6) 5242
septenary (7) 3302
nonary (9) 1548
undecimal (11) 981
duodecimal (12) 822
tridecimal (13) 6c8
tetradecimal (14) 602
pentadecimal (15) 538

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αροηʹ
Mayan (base 20)
𝋢·𝋲·𝋲
Chinese
一千一百七十八
Chinese (financial)
壹仟壹佰柒拾捌
In other modern scripts
Eastern Arabic ١١٧٨ Devanagari ११७८ Bengali ১১৭৮ Tamil ௧௧௭௮ Thai ๑๑๗๘ Tibetan ༡༡༧༨ Khmer ១១៧៨ Lao ໑໑໗໘ Burmese ၁၁၇၈

Digit at this position in famous constants

π — Pi (π)
Digit 1,178 = 9
e — Euler's number (e)
Digit 1,178 = 8
φ — Golden ratio (φ)
Digit 1,178 = 2
√2 — Pythagoras's (√2)
Digit 1,178 = 2
ln 2 — Natural log of 2
Digit 1,178 = 1
γ — Euler-Mascheroni (γ)
Digit 1,178 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1178, here are decompositions:

  • 7 + 1171 = 1178
  • 61 + 1117 = 1178
  • 109 + 1069 = 1178
  • 127 + 1051 = 1178
  • 139 + 1039 = 1178
  • 157 + 1021 = 1178
  • 181 + 997 = 1178
  • 211 + 967 = 1178

Showing the first eight; more decompositions exist.

Unicode codepoint
Қ
Cyrillic Capital Letter Ka With Descender
U+049A
Uppercase letter (Lu)

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

Hex color
#00049A
RGB(0, 4, 154)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.154.

Address
0.0.4.154
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.154

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

Position in π

The digit sequence 1178 first appears in π at position 6,290 of the decimal expansion (the 6,290ordinal-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.