Number

1,164

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

1,164 (one thousand one hundred sixty-four) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 97. Its proper divisors sum to 1,580, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCLXIV and in binary, 10010001100.

Abundant Number Cube-Free Evil Number Harshad / Niven Moran Number Recamán's Sequence Refactorable Number Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,152 1,153 1,154 1,155 1,156 1,157 1,158 1,159 1,160 1,161 1,162 1,163 1,164 1,165 1,166 1,167 1,168 1,169 1,170 1,171 1,172 1,173 1,174 1,175 1,176

less more

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 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

Continued fraction of √n

√1,164 = [34; (8, 1, 1, 16, 1, 1, 8, 68)]

Period length 8 — the block in parentheses repeats forever.

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)
Scientific notation: 1.164 × 10³
As a duration: 1,164 s = 19 minutes, 24 seconds

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

Palindromic in base 11

As an angle

1,164° = 3 × 360° + 84°

84° ≈ 1.466 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

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

Cyrillic Capital Letter Semisoft Sign

U+048C

Uppercase letter (Lu)

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

Lookup U+048C on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 1,164 Hz is closest to:

Concert pitch (A4 = 440 Hz): D6 (1174.7 Hz, -16¢)
Scientific pitch (C4 = 256 Hz): D6 (1149.4 Hz, +22¢)
Baroque pitch (A4 = 415 Hz): D♯6 (1173.8 Hz, -15¢)

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.

Look up 1164 on Pi Search ↗