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Number

1,136

1,136 is a composite number, even, a calendar year.

Deficient Number Evil Number Gapful Number Recamán's Sequence Year

Historical context — 1136 AD

Calendar year

Year 1136 (MCXXXVI) 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, 1136
Ended on
Thursday
December 31, 1136
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1130s
1130–1139
Century
12th century
1101–1200
Millennium
2nd millennium
1001–2000
Years ago
890
890 years before 2026.

In other calendars

Hebrew
4896 / 4897 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
530 / 531 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Dragon
Sexagenary cycle position 53 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1679 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
514 / 515 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1128 / 1129 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1058 / 1057 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
11
Digit product
18
Digital root
2
Palindrome
No
Bit width
11 bits
Reversed
6,311
Recamán's sequence
a(1,900) = 1,136
Square (n²)
1,290,496
Cube (n³)
1,466,003,456
Divisor count
10
σ(n) — sum of divisors
2,232
φ(n) — Euler's totient
560
Sum of prime factors
79

Primality

Prime factorization: 2 4 × 71

Nearest primes: 1,129 (−7) · 1,151 (+15)

Divisors & multiples

All divisors (10)
1 · 2 · 4 · 8 · 16 · 71 · 142 · 284 · 568 (half) · 1136
Aliquot sum (sum of proper divisors): 1,096
Factor pairs (a × b = 1,136)
1 × 1136
2 × 568
4 × 284
8 × 142
16 × 71
First multiples
1,136 · 2,272 (double) · 3,408 · 4,544 · 5,680 · 6,816 · 7,952 · 9,088 · 10,224 · 11,360

Sums & aliquot sequence

As consecutive integers: 20 + 21 + … + 51
Aliquot sequence: 1,136 1,096 974 490 536 484 447 153 81 40 50 43 1 0 — terminates at zero

Representations

In words
one thousand one hundred thirty-six
Ordinal
1136th
Roman numeral
MCXXXVI
Binary
10001110000
Octal
2160
Hexadecimal
0x470
Base64
BHA=
One's complement
64,399 (16-bit)
In other bases
ternary (3) 1120002
quaternary (4) 101300
quinary (5) 14021
senary (6) 5132
septenary (7) 3212
nonary (9) 1502
undecimal (11) 943
duodecimal (12) 7a8
tridecimal (13) 695
tetradecimal (14) 5b2
pentadecimal (15) 50b

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αρλϛʹ
Mayan (base 20)
𝋢·𝋰·𝋰
Chinese
一千一百三十六
Chinese (financial)
壹仟壹佰參拾陸
In other modern scripts
Eastern Arabic ١١٣٦ Devanagari ११३६ Bengali ১১৩৬ Tamil ௧௧௩௬ Thai ๑๑๓๖ Tibetan ༡༡༣༦ Khmer ១១៣៦ Lao ໑໑໓໖ Burmese ၁၁၃၆

Digit at this position in famous constants

π — Pi (π)
Digit 1,136 = 7
e — Euler's number (e)
Digit 1,136 = 6
φ — Golden ratio (φ)
Digit 1,136 = 7
√2 — Pythagoras's (√2)
Digit 1,136 = 5
ln 2 — Natural log of 2
Digit 1,136 = 5
γ — Euler-Mascheroni (γ)
Digit 1,136 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1136, here are decompositions:

  • 7 + 1129 = 1136
  • 13 + 1123 = 1136
  • 19 + 1117 = 1136
  • 43 + 1093 = 1136
  • 67 + 1069 = 1136
  • 73 + 1063 = 1136
  • 97 + 1039 = 1136
  • 103 + 1033 = 1136

Showing the first eight; more decompositions exist.

Unicode codepoint
Ѱ
Cyrillic Capital Letter Psi
U+0470
Uppercase letter (Lu)

UTF-8 encoding: D1 B0 (2 bytes).

Hex color
#000470
RGB(0, 4, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.112.

Address
0.0.4.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.112

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

Position in π

The digit sequence 1136 first appears in π at position 3,504 of the decimal expansion (the 3,504ordinal-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.