Number

1,157

1,157 is a composite number, odd, a calendar year.

1,157 (one thousand one hundred fifty-seven) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 13 × 89. Written other ways, in Roman numerals it is MCLVII and in binary, 10010000101.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence Semiprime Squarefree Year

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,145 1,146 1,147 1,148 1,149 1,150 1,151 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

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Historical context — 1157 AD

Calendar year

Year 1157 (MCLVII) was a common year starting on Tuesday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 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: Tuesday
January 1, 1157
Ended on: Tuesday
December 31, 1157
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1150s
1150–1159
Century: 12th century
1101–1200
Millennium: 2nd millennium
1001–2000
Years ago: 869
869 years before 2026.

In other calendars

Hebrew: 4917 / 4918 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 551 / 552 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Ox
Sexagenary cycle position 14 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1700 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 535 / 536 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1149 / 1150 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1079 / 1078 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 4
Digit sum: 14
Digit product: 35
Digital root: 5
Palindrome: No
Bit width: 11 bits
Reversed: 7,511
Recamán's sequence: a(1,858) = 1,157
Square (n²): 1,338,649
Cube (n³): 1,548,816,893
Divisor count: 4
σ(n) — sum of divisors: 1,260
φ(n) — Euler's totient: 1,056
Sum of prime factors: 102

Primality

Prime factorization: 13 × 89

Nearest primes: 1,153 (−4) · 1,163 (+6)

Divisors & multiples

All divisors (4)

1 · 13 · 89 · 1157

Aliquot sum (sum of proper divisors): 103

Factor pairs (a × b = 1,157)

1 × 1157

13 × 89

First multiples

1,157 · 2,314 (double) · 3,471 · 4,628 · 5,785 · 6,942 · 8,099 · 9,256 · 10,413 · 11,570

Sums & aliquot sequence

As a sum of two squares: 1² + 34² = 14² + 31²

As consecutive integers: 578 + 579 83 + 84 + … + 95 32 + 33 + … + 57

Aliquot sequence: 1,157 → 103 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,157 = [34; (68)]

Period length 1 — the block in parentheses repeats forever.

Representations

In words: one thousand one hundred fifty-seven
Ordinal: 1157th
Roman numeral: MCLVII
Binary: 10010000101
Octal: 2205
Hexadecimal: 0x485
Base64: BIU=
One's complement: 64,378 (16-bit)
Scientific notation: 1.157 × 10³
As a duration: 1,157 s = 19 minutes, 17 seconds

In other bases

ternary (3) 1120212

quaternary (4) 102011

quinary (5) 14112

senary (6) 5205

septenary (7) 3242

nonary (9) 1525

undecimal (11) 962

duodecimal (12) 805

tridecimal (13) 6b0

tetradecimal (14) 5c9

pentadecimal (15) 522

As an angle

1,157° = 3 × 360° + 77°

77° ≈ 1.344 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αρνζʹ
Mayan (base 20): 𝋢·𝋱·𝋱
Chinese: 一千一百五十七
Chinese (financial): 壹仟壹佰伍拾柒

In other modern scripts

Eastern Arabic ١١٥٧ Devanagari ११५७ Bengali ১১৫৭ Tamil ௧௧௫௭ Thai ๑๑๕๗ Tibetan ༡༡༥༧ Khmer ១១៥៧ Lao ໑໑໕໗ Burmese ၁၁၅၇

Digit at this position in famous constants

π — Pi (π): Digit 1,157 = 6
e — Euler's number (e): Digit 1,157 = 0
φ — Golden ratio (φ): Digit 1,157 = 2
√2 — Pythagoras's (√2): Digit 1,157 = 9
ln 2 — Natural log of 2: Digit 1,157 = 8
γ — Euler-Mascheroni (γ): Digit 1,157 = 1

Also seen as

Unicode codepoint

Combining Cyrillic Dasia Pneumata

U+0485

Non-spacing mark (Mn)

UTF-8 encoding: D2 85 (2 bytes).

Lookup U+0485 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000485

RGB(0, 4, 133)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.133.

Address: 0.0.4.133
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.133

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

Musical pitch

Heard as a frequency, 1,157 Hz is closest to:

Concert pitch (A4 = 440 Hz): D6 (1174.7 Hz, -26¢)
Scientific pitch (C4 = 256 Hz): D6 (1149.4 Hz, +11¢)
Baroque pitch (A4 = 415 Hz): D♯6 (1173.8 Hz, -25¢)

Position in π

The digit sequence 1157 first appears in π at position 1,656 of the decimal expansion (the 1,656ordinal-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.

Look up 1157 on Pi Search ↗