Number

1,150

1,150 is a composite number, even, a calendar year.

1,150 (one thousand one hundred fifty) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2 × 5² × 23. Written other ways, in Roman numerals it is MCL and in binary, 10001111110.

Arithmetic Number Cube-Free Deficient Number Gapful Number Odious Number Pernicious Number Recamán's Sequence Year

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,138 1,139 1,140 1,141 1,142 1,143 1,144 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

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Historical context — 1150 AD

Calendar year

Year 1150 (MCL) was a common year starting on Sunday 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: Sunday
January 1, 1150
Ended on: Sunday
December 31, 1150
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: 876
876 years before 2026.

In other calendars

Hebrew: 4910 / 4911 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 544 / 545 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Metal zodiac:Horse
Sexagenary cycle position 7 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1693 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 528 / 529 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1142 / 1143 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1072 / 1071 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 11 bits
Reversed: 511
Recamán's sequence: a(1,872) = 1,150
Square (n²): 1,322,500
Cube (n³): 1,520,875,000
Divisor count: 12
σ(n) — sum of divisors: 2,232
φ(n) — Euler's totient: 440
Sum of prime factors: 35

Primality

Prime factorization: 2 × 5 ² × 23

Nearest primes: 1,129 (−21) · 1,151 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 5 · 10 · 23 · 25 · 46 · 50 · 115 · 230 · 575 (half) · 1150

Aliquot sum (sum of proper divisors): 1,082

Factor pairs (a × b = 1,150)

1 × 1150

2 × 575

5 × 230

10 × 115

23 × 50

25 × 46

First multiples

1,150 · 2,300 (double) · 3,450 · 4,600 · 5,750 · 6,900 · 8,050 · 9,200 · 10,350 · 11,500

Sums & aliquot sequence

As consecutive integers: 286 + 287 + 288 + 289 228 + 229 + 230 + 231 + 232 48 + 49 + … + 67 39 + 40 + … + 61

Aliquot sequence: 1,150 → 1,082 → 544 → 590 → 490 → 536 → 484 → 447 → 153 → 81 → 40 → 50 → 43 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,150 = [33; (1, 10, 3, 7, 4, 1, 2, 2, 2, 1, 4, 7, 3, 10, 1, 66)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: one thousand one hundred fifty
Ordinal: 1150th
Roman numeral: MCL
Binary: 10001111110
Octal: 2176
Hexadecimal: 0x47E
Base64: BH4=
One's complement: 64,385 (16-bit)
Scientific notation: 1.15 × 10³
As a duration: 1,150 s = 19 minutes, 10 seconds

In other bases

ternary (3) 1120121

quaternary (4) 101332

quinary (5) 14100

senary (6) 5154

septenary (7) 3232

nonary (9) 1517

undecimal (11) 956

duodecimal (12) 7ba

tridecimal (13) 6a6

tetradecimal (14) 5c2

pentadecimal (15) 51a

Palindromic in base 13

As an angle

1,150° = 3 × 360° + 70°

70° ≈ 1.222 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋
Egyptian hieroglyphic: 𓆼𓍢𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵αρνʹ
Mayan (base 20): 𝋢·𝋱·𝋪
Chinese: 一千一百五十
Chinese (financial): 壹仟壹佰伍拾

In other modern scripts

Eastern Arabic ١١٥٠ Devanagari ११५० Bengali ১১৫০ Tamil ௧௧௫௦ Thai ๑๑๕๐ Tibetan ༡༡༥༠ Khmer ១១៥០ Lao ໑໑໕໐ Burmese ၁၁၅၀

Digit at this position in famous constants

π — Pi (π): Digit 1,150 = 8
e — Euler's number (e): Digit 1,150 = 4
φ — Golden ratio (φ): Digit 1,150 = 2
√2 — Pythagoras's (√2): Digit 1,150 = 7
ln 2 — Natural log of 2: Digit 1,150 = 7
γ — Euler-Mascheroni (γ): Digit 1,150 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1150, here are decompositions:

41 + 1109 = 1150
47 + 1103 = 1150
53 + 1097 = 1150
59 + 1091 = 1150
89 + 1061 = 1150
101 + 1049 = 1150
131 + 1019 = 1150
137 + 1013 = 1150

Showing the first eight; more decompositions exist.

Unicode codepoint

Cyrillic Capital Letter Ot

U+047E

Uppercase letter (Lu)

UTF-8 encoding: D1 BE (2 bytes).

Lookup U+047E on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00047E

RGB(0, 4, 126)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.126.

Address: 0.0.4.126
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.126

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

Musical pitch

Heard as a frequency, 1,150 Hz is closest to:

Concert pitch (A4 = 440 Hz): D6 (1174.7 Hz, -37¢)
Scientific pitch (C4 = 256 Hz): D6 (1149.4 Hz, +1¢)
Baroque pitch (A4 = 415 Hz): D♯6 (1173.8 Hz, -35¢)

Position in π

The digit sequence 1150 first appears in π at position 14,986 of the decimal expansion (the 14,986ordinal-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 1150 on Pi Search ↗