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Number

1,152

1,152 is a composite number, even, a calendar year.

Abundant Number Achilles Number Evil Number Gapful Number Happy Number Harshad / Niven Pernicious Number Powerful Number Practical Number Recamán's Sequence Semiperfect Number Year

Historical context — 1152 AD

Calendar year

Year 1152 (MCLII) was a leap year starting on Tuesday of the Julian calendar.

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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
Tuesday
January 1, 1152
Ended on
Wednesday
December 31, 1152
Friday the 13ths
1
One Friday the 13th this year.
Decade
1150s
1150–1159
Century
12th century
1101–1200
Millennium
2nd millennium
1001–2000
Years ago
874
874 years before 2026.

In other calendars

Hebrew
4912 / 4913 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
546 / 547 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Monkey
Sexagenary cycle position 9 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1695 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
530 / 531 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1144 / 1145 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1074 / 1073 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
9
Digit product
10
Digital root
9
Palindrome
No
Bit width
11 bits
Reversed
2,511
Recamán's sequence
a(1,868) = 1,152
Square (n²)
1,327,104
Cube (n³)
1,528,823,808
Divisor count
24
σ(n) — sum of divisors
3,315
φ(n) — Euler's totient
384
Sum of prime factors
20

Primality

Prime factorization: 2 7 × 3 2

Nearest primes: 1,151 (−1) · 1,153 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 32 · 36 · 48 · 64 · 72 · 96 · 128 · 144 · 192 · 288 · 384 · 576 (half) · 1152
Aliquot sum (sum of proper divisors): 2,163
Factor pairs (a × b = 1,152)
1 × 1152
2 × 576
3 × 384
4 × 288
6 × 192
8 × 144
9 × 128
12 × 96
16 × 72
18 × 64
24 × 48
32 × 36
First multiples
1,152 · 2,304 (double) · 3,456 · 4,608 · 5,760 · 6,912 · 8,064 · 9,216 · 10,368 · 11,520

Sums & aliquot sequence

As a sum of two squares: 24² + 24²
As consecutive integers: 383 + 384 + 385 124 + 125 + … + 132
Aliquot sequence: 1,152 2,163 1,165 239 1 0 — terminates at zero

Representations

In words
one thousand one hundred fifty-two
Ordinal
1152nd
Roman numeral
MCLII
Binary
10010000000
Octal
2200
Hexadecimal
0x480
Base64
BIA=
One's complement
64,383 (16-bit)
In other bases
ternary (3) 1120200
quaternary (4) 102000
quinary (5) 14102
senary (6) 5200
septenary (7) 3234
nonary (9) 1520
undecimal (11) 958
duodecimal (12) 800
tridecimal (13) 6a8
tetradecimal (14) 5c4
pentadecimal (15) 51c

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵αρνβʹ
Mayan (base 20)
𝋢·𝋱·𝋬
Chinese
一千一百五十二
Chinese (financial)
壹仟壹佰伍拾貳
In other modern scripts
Eastern Arabic ١١٥٢ Devanagari ११५२ Bengali ১১৫২ Tamil ௧௧௫௨ Thai ๑๑๕๒ Tibetan ༡༡༥༢ Khmer ១១៥២ Lao ໑໑໕໒ Burmese ၁၁၅၂

Digit at this position in famous constants

π — Pi (π)
Digit 1,152 = 8
e — Euler's number (e)
Digit 1,152 = 6
φ — Golden ratio (φ)
Digit 1,152 = 2
√2 — Pythagoras's (√2)
Digit 1,152 = 0
ln 2 — Natural log of 2
Digit 1,152 = 6
γ — Euler-Mascheroni (γ)
Digit 1,152 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1152, here are decompositions:

  • 23 + 1129 = 1152
  • 29 + 1123 = 1152
  • 43 + 1109 = 1152
  • 59 + 1093 = 1152
  • 61 + 1091 = 1152
  • 83 + 1069 = 1152
  • 89 + 1063 = 1152
  • 101 + 1051 = 1152

Showing the first eight; more decompositions exist.

Unicode codepoint
Ҁ
Cyrillic Capital Letter Koppa
U+0480
Uppercase letter (Lu)

UTF-8 encoding: D2 80 (2 bytes).

Hex color
#000480
RGB(0, 4, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.128.

Address
0.0.4.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.128

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

Position in π

The digit sequence 1152 first appears in π at position 7,434 of the decimal expansion (the 7,434ordinal-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.