Number

1,152

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

1,152 (one thousand one hundred fifty-two) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2⁷ × 3². Its proper divisors sum to 2,163, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCLII and in binary, 10010000000.

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

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

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 1,163 1,164

less more

Historical context — 1152 AD

Calendar year

Year 1152 (MCLII) was a leap 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: 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

Continued fraction of √n

√1,152 = [33; (1, 15, 1, 66)]

Period length 4 — the block in parentheses repeats forever.

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)
Scientific notation: 1.152 × 10³
As a duration: 1,152 s = 19 minutes, 12 seconds

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

As an angle

1,152° = 3 × 360° + 72°

72° ≈ 1.257 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

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

Cyrillic Capital Letter Koppa

U+0480

Uppercase letter (Lu)

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

Lookup U+0480 on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 1,152 Hz is closest to:

Concert pitch (A4 = 440 Hz): D6 (1174.7 Hz, -34¢)
Scientific pitch (C4 = 256 Hz): D6 (1149.4 Hz, +4¢)
Baroque pitch (A4 = 415 Hz): D♯6 (1173.8 Hz, -32¢)

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.

Look up 1152 on Pi Search ↗