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Number

1,164

1,164 is a composite number, even, a calendar year.

Abundant Number Evil Number Harshad / Niven Recamán's Sequence Semiperfect Number Year

Historical context — 1164 AD

Calendar year

Year 1164 (MCLXIV) 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
Wednesday
January 1, 1164
Ended on
Thursday
December 31, 1164
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1160s
1160–1169
Century
12th century
1101–1200
Millennium
2nd millennium
1001–2000
Years ago
862
862 years before 2026.

In other calendars

Hebrew
4924 / 4925 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
559 / 560 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Monkey
Sexagenary cycle position 21 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1707 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
542 / 543 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1156 / 1157 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1086 / 1085 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
12
Digit product
24
Digital root
3
Palindrome
No
Bit width
11 bits
Reversed
4,611
Recamán's sequence
a(1,844) = 1,164
Square (n²)
1,354,896
Cube (n³)
1,577,098,944
Divisor count
12
σ(n) — sum of divisors
2,744
φ(n) — Euler's totient
384
Sum of prime factors
104

Primality

Prime factorization: 2 2 × 3 × 97

Nearest primes: 1,163 (−1) · 1,171 (+7)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 97 · 194 · 291 · 388 · 582 (half) · 1164
Aliquot sum (sum of proper divisors): 1,580
Factor pairs (a × b = 1,164)
1 × 1164
2 × 582
3 × 388
4 × 291
6 × 194
12 × 97
First multiples
1,164 · 2,328 (double) · 3,492 · 4,656 · 5,820 · 6,984 · 8,148 · 9,312 · 10,476 · 11,640

Sums & aliquot sequence

As consecutive integers: 387 + 388 + 389 142 + 143 + … + 149 37 + 38 + … + 60
Aliquot sequence: 1,164 1,580 1,780 2,000 2,836 2,134 1,394 874 566 286 218 112 136 134 70 74 40 — unresolved within range

Representations

In words
one thousand one hundred sixty-four
Ordinal
1164th
Roman numeral
MCLXIV
Binary
10010001100
Octal
2214
Hexadecimal
0x48C
Base64
BIw=
One's complement
64,371 (16-bit)
In other bases
ternary (3) 1121010
quaternary (4) 102030
quinary (5) 14124
senary (6) 5220
septenary (7) 3252
nonary (9) 1533
undecimal (11) 969
duodecimal (12) 810
tridecimal (13) 6b7
tetradecimal (14) 5d2
pentadecimal (15) 529

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αρξδʹ
Mayan (base 20)
𝋢·𝋲·𝋤
Chinese
一千一百六十四
Chinese (financial)
壹仟壹佰陸拾肆
In other modern scripts
Eastern Arabic ١١٦٤ Devanagari ११६४ Bengali ১১৬৪ Tamil ௧௧௬௪ Thai ๑๑๖๔ Tibetan ༡༡༦༤ Khmer ១១៦៤ Lao ໑໑໖໔ Burmese ၁၁၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 1,164 = 3
e — Euler's number (e)
Digit 1,164 = 2
φ — Golden ratio (φ)
Digit 1,164 = 0
√2 — Pythagoras's (√2)
Digit 1,164 = 8
ln 2 — Natural log of 2
Digit 1,164 = 0
γ — Euler-Mascheroni (γ)
Digit 1,164 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1164, here are decompositions:

  • 11 + 1153 = 1164
  • 13 + 1151 = 1164
  • 41 + 1123 = 1164
  • 47 + 1117 = 1164
  • 61 + 1103 = 1164
  • 67 + 1097 = 1164
  • 71 + 1093 = 1164
  • 73 + 1091 = 1164

Showing the first eight; more decompositions exist.

Unicode codepoint
Ҍ
Cyrillic Capital Letter Semisoft Sign
U+048C
Uppercase letter (Lu)

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

Hex color
#00048C
RGB(0, 4, 140)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.140.

Address
0.0.4.140
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.140

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
000001164
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 1164 first appears in π at position 22,271 of the decimal expansion (the 22,271ordinal-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.