Number

1,140

1,140 is a composite number, even, a calendar year.

1,140 (one thousand one hundred forty) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 5 × 19. Its proper divisors sum to 2,220, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCXL and in binary, 10001110100.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Tetrahedral Year

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,128 1,129 1,130 1,131 1,132 1,133 1,134 1,135 1,136 1,137 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

less more

Historical context — 1140 AD

Calendar year

Year 1140 (MCXL) was a leap year starting on Monday 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: 52
Started on: Monday
January 1, 1140
Ended on: Tuesday
December 31, 1140
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1140s
1140–1149
Century: 12th century
1101–1200
Millennium: 2nd millennium
1001–2000
Years ago: 886
886 years before 2026.

In other calendars

Hebrew: 4900 / 4901 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 534 / 535 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Metal zodiac:Monkey
Sexagenary cycle position 57 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1683 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 518 / 519 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1132 / 1133 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1062 / 1061 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 11 bits
Reversed: 411
Recamán's sequence: a(1,892) = 1,140
Square (n²): 1,299,600
Cube (n³): 1,481,544,000
Divisor count: 24
σ(n) — sum of divisors: 3,360
φ(n) — Euler's totient: 288
Sum of prime factors: 31

Primality

Prime factorization: 2 ² × 3 × 5 × 19

Nearest primes: 1,129 (−11) · 1,151 (+11)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 19 · 20 · 30 · 38 · 57 · 60 · 76 · 95 · 114 · 190 · 228 · 285 · 380 · 570 (half) · 1140

Aliquot sum (sum of proper divisors): 2,220

Factor pairs (a × b = 1,140)

1 × 1140

2 × 570

3 × 380

4 × 285

5 × 228

6 × 190

10 × 114

12 × 95

15 × 76

19 × 60

20 × 57

30 × 38

First multiples

1,140 · 2,280 (double) · 3,420 · 4,560 · 5,700 · 6,840 · 7,980 · 9,120 · 10,260 · 11,400

Sums & aliquot sequence

As consecutive integers: 379 + 380 + 381 226 + 227 + 228 + 229 + 230 139 + 140 + … + 146 69 + 70 + … + 83

Aliquot sequence: 1,140 → 2,220 → 4,164 → 5,580 → 11,892 → 15,884 → 16,120 → 24,200 → 37,645 → 7,535 → 2,401 → 400 → 561 → 303 → 105 → 87 → 33 — unresolved within range

Continued fraction of √n

√1,140 = [33; (1, 3, 4, 3, 1, 66)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: one thousand one hundred forty
Ordinal: 1140th
Roman numeral: MCXL
Binary: 10001110100
Octal: 2164
Hexadecimal: 0x474
Base64: BHQ=
One's complement: 64,395 (16-bit)
Scientific notation: 1.14 × 10³
As a duration: 1,140 s = 19 minutes

In other bases

ternary (3) 1120020

quaternary (4) 101310

quinary (5) 14030

senary (6) 5140

septenary (7) 3216

nonary (9) 1506

undecimal (11) 947

duodecimal (12) 7b0

tridecimal (13) 699

tetradecimal (14) 5b6

pentadecimal (15) 510

Palindromic in base 16

As an angle

1,140° = 3 × 360° + 60°

60° ≈ 1.047 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆼𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵αρμʹ
Mayan (base 20): 𝋢·𝋱·𝋠
Chinese: 一千一百四十
Chinese (financial): 壹仟壹佰肆拾

In other modern scripts

Eastern Arabic ١١٤٠ Devanagari ११४० Bengali ১১৪০ Tamil ௧௧௪௦ Thai ๑๑๔๐ Tibetan ༡༡༤༠ Khmer ១១៤០ Lao ໑໑໔໐ Burmese ၁၁၄၀

Digit at this position in famous constants

π — Pi (π): Digit 1,140 = 5
e — Euler's number (e): Digit 1,140 = 8
φ — Golden ratio (φ): Digit 1,140 = 3
√2 — Pythagoras's (√2): Digit 1,140 = 3
ln 2 — Natural log of 2: Digit 1,140 = 8
γ — Euler-Mascheroni (γ): Digit 1,140 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1140, here are decompositions:

11 + 1129 = 1140
17 + 1123 = 1140
23 + 1117 = 1140
31 + 1109 = 1140
37 + 1103 = 1140
43 + 1097 = 1140
47 + 1093 = 1140
53 + 1087 = 1140

Showing the first eight; more decompositions exist.

Unicode codepoint

Cyrillic Capital Letter Izhitsa

U+0474

Uppercase letter (Lu)

UTF-8 encoding: D1 B4 (2 bytes).

Lookup U+0474 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000474

RGB(0, 4, 116)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.116.

Address: 0.0.4.116
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.116

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

Musical pitch

Heard as a frequency, 1,140 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯6 (1108.7 Hz, +48¢ — about midway to D6)
Scientific pitch (C4 = 256 Hz): D6 (1149.4 Hz, -14¢)
Baroque pitch (A4 = 415 Hz): D6 (1107.9 Hz, +49¢ — about midway to D♯6)

Position in π

The digit sequence 1140 first appears in π at position 8,783 of the decimal expansion (the 8,783ordinal-suffix:rd 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 1140 on Pi Search ↗