Number

1,160

1,160 is a composite number, even, a calendar year.

1,160 (one thousand one hundred sixty) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 29. Its proper divisors sum to 1,540, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCLX and in binary, 10010001000.

Abundant Number Cake Number Flippable Gapful Number Harshad / Niven Octagonal Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

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 1,165 1,166 1,167 1,168 1,169 1,170 1,171 1,172

less more

Historical context — 1160 AD

Calendar year

Year 1160 (MCLX) was a leap year starting on Friday 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: Friday
January 1, 1160
Ended on: Saturday
December 31, 1160
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 1160s
1160–1169
Century: 12th century
1101–1200
Millennium: 2nd millennium
1001–2000
Years ago: 866
866 years before 2026.

In other calendars

Hebrew: 4920 / 4921 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 554 / 555 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Metal zodiac:Dragon
Sexagenary cycle position 17 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1703 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 538 / 539 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1152 / 1153 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1082 / 1081 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 11 bits
Reversed: 611
Flips to (rotate 180°): 911
Recamán's sequence: a(1,852) = 1,160
Square (n²): 1,345,600
Cube (n³): 1,560,896,000
Divisor count: 16
σ(n) — sum of divisors: 2,700
φ(n) — Euler's totient: 448
Sum of prime factors: 40

Primality

Prime factorization: 2 ³ × 5 × 29

Nearest primes: 1,153 (−7) · 1,163 (+3)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 29 · 40 · 58 · 116 · 145 · 232 · 290 · 580 (half) · 1160

Aliquot sum (sum of proper divisors): 1,540

Factor pairs (a × b = 1,160)

1 × 1160

2 × 580

4 × 290

5 × 232

8 × 145

10 × 116

20 × 58

29 × 40

First multiples

1,160 · 2,320 (double) · 3,480 · 4,640 · 5,800 · 6,960 · 8,120 · 9,280 · 10,440 · 11,600

Sums & aliquot sequence

As a sum of two squares: 2² + 34² = 22² + 26²

As consecutive integers: 230 + 231 + 232 + 233 + 234 65 + 66 + … + 80 26 + 27 + … + 54

Aliquot sequence: 1,160 → 1,540 → 2,492 → 2,548 → 3,038 → 2,434 → 1,220 → 1,384 → 1,226 → 616 → 824 → 736 → 776 → 694 → 350 → 394 → 200 — unresolved within range

Continued fraction of √n

√1,160 = [34; (17, 68)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one thousand one hundred sixty
Ordinal: 1160th
Roman numeral: MCLX
Binary: 10010001000
Octal: 2210
Hexadecimal: 0x488
Base64: BIg=
One's complement: 64,375 (16-bit)
Scientific notation: 1.16 × 10³
As a duration: 1,160 s = 19 minutes, 20 seconds

In other bases

ternary (3) 1120222

quaternary (4) 102020

quinary (5) 14120

senary (6) 5212

septenary (7) 3245

nonary (9) 1528

undecimal (11) 965

duodecimal (12) 808

tridecimal (13) 6b3

tetradecimal (14) 5cc

pentadecimal (15) 525

Palindromic in base 12, base 15

As an angle

1,160° = 3 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵αρξʹ
Mayan (base 20): 𝋢·𝋲·𝋠
Chinese: 一千一百六十
Chinese (financial): 壹仟壹佰陸拾

In other modern scripts

Eastern Arabic ١١٦٠ Devanagari ११६० Bengali ১১৬০ Tamil ௧௧௬௦ Thai ๑๑๖๐ Tibetan ༡༡༦༠ Khmer ១១៦០ Lao ໑໑໖໐ Burmese ၁၁၆၀

Digit at this position in famous constants

π — Pi (π): Digit 1,160 = 4
e — Euler's number (e): Digit 1,160 = 5
φ — Golden ratio (φ): Digit 1,160 = 3
√2 — Pythagoras's (√2): Digit 1,160 = 9
ln 2 — Natural log of 2: Digit 1,160 = 9
γ — Euler-Mascheroni (γ): Digit 1,160 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1160, here are decompositions:

7 + 1153 = 1160
31 + 1129 = 1160
37 + 1123 = 1160
43 + 1117 = 1160
67 + 1093 = 1160
73 + 1087 = 1160
97 + 1063 = 1160
109 + 1051 = 1160

Showing the first eight; more decompositions exist.

Unicode codepoint

Combining Cyrillic Hundred Thousands Sign

U+0488

Enclosing mark (Me)

UTF-8 encoding: D2 88 (2 bytes).

Lookup U+0488 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000488

RGB(0, 4, 136)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.136.

Address: 0.0.4.136
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.136

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

Musical pitch

Heard as a frequency, 1,160 Hz is closest to:

Concert pitch (A4 = 440 Hz): D6 (1174.7 Hz, -22¢)
Scientific pitch (C4 = 256 Hz): D6 (1149.4 Hz, +16¢)
Baroque pitch (A4 = 415 Hz): D♯6 (1173.8 Hz, -20¢)

Position in π

The digit sequence 1160 first appears in π at position 395 of the decimal expansion (the 395ordinal-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 1160 on Pi Search ↗