Number

1,170

1,170 is a composite number, even, a calendar year.

1,170 (one thousand one hundred seventy) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 5 × 13. Its proper divisors sum to 2,106, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCLXX and in binary, 10010010010.

Abundant Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

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 1,173 1,174 1,175 1,176 1,177 1,178 1,179 1,180 1,181 1,182

less more

Notable events — 1170 AD

Dec 29 Thomas Becket is murdered in Canterbury Cathedral.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

Year facts

Year type: Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year: 365
ISO weeks: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 1170
Ended on: Thursday
December 31, 1170
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 1170s
1170–1179
Century: 12th century
1101–1200
Millennium: 2nd millennium
1001–2000
Years ago: 856
856 years before 2026.

In other calendars

Hebrew: 4930 / 4931 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 565 / 566 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Metal zodiac:Tiger
Sexagenary cycle position 27 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1713 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 548 / 549 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1162 / 1163 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1092 / 1091 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 11 bits
Reversed: 711
Recamán's sequence: a(1,832) = 1,170
Square (n²): 1,368,900
Cube (n³): 1,601,613,000
Divisor count: 24
σ(n) — sum of divisors: 3,276
φ(n) — Euler's totient: 288
Sum of prime factors: 26

Primality

Prime factorization: 2 × 3 ² × 5 × 13

Nearest primes: 1,163 (−7) · 1,171 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 5 · 6 · 9 · 10 · 13 · 15 · 18 · 26 · 30 · 39 · 45 · 65 · 78 · 90 · 117 · 130 · 195 · 234 · 390 · 585 (half) · 1170

Aliquot sum (sum of proper divisors): 2,106

Factor pairs (a × b = 1,170)

1 × 1170

2 × 585

3 × 390

5 × 234

6 × 195

9 × 130

10 × 117

13 × 90

15 × 78

18 × 65

26 × 45

30 × 39

First multiples

1,170 · 2,340 (double) · 3,510 · 4,680 · 5,850 · 7,020 · 8,190 · 9,360 · 10,530 · 11,700

Sums & aliquot sequence

As a sum of two squares: 9² + 33² = 21² + 27²

As consecutive integers: 389 + 390 + 391 291 + 292 + 293 + 294 232 + 233 + 234 + 235 + 236 126 + 127 + … + 134

Aliquot sequence: 1,170 → 2,106 → 2,976 → 5,088 → 8,520 → 17,400 → 38,400 → 88,452 → 196,924 → 228,004 → 255,836 → 255,892 → 339,948 → 708,372 → 1,392,748 → 1,392,804 → 2,631,580 — unresolved within range

Continued fraction of √n

√1,170 = [34; (4, 1, 6, 1, 4, 68)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: one thousand one hundred seventy
Ordinal: 1170th
Roman numeral: MCLXX
Binary: 10010010010
Octal: 2222
Hexadecimal: 0x492
Base64: BJI=
One's complement: 64,365 (16-bit)
Scientific notation: 1.17 × 10³
As a duration: 1,170 s = 19 minutes, 30 seconds

In other bases

ternary (3) 1121100

quaternary (4) 102102

quinary (5) 14140

senary (6) 5230

septenary (7) 3261

nonary (9) 1540

undecimal (11) 974

duodecimal (12) 816

tridecimal (13) 6c0

tetradecimal (14) 5d8

pentadecimal (15) 530

Palindromic in base 8

As an angle

1,170° = 3 × 360° + 90°

90° ≈ 1.571 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵αροʹ
Mayan (base 20): 𝋢·𝋲·𝋪
Chinese: 一千一百七十
Chinese (financial): 壹仟壹佰柒拾

In other modern scripts

Eastern Arabic ١١٧٠ Devanagari ११७० Bengali ১১৭০ Tamil ௧௧௭௦ Thai ๑๑๗๐ Tibetan ༡༡༧༠ Khmer ១១៧០ Lao ໑໑໗໐ Burmese ၁၁၇၀

Digit at this position in famous constants

π — Pi (π): Digit 1,170 = 5
e — Euler's number (e): Digit 1,170 = 1
φ — Golden ratio (φ): Digit 1,170 = 7
√2 — Pythagoras's (√2): Digit 1,170 = 3
ln 2 — Natural log of 2: Digit 1,170 = 6
γ — Euler-Mascheroni (γ): Digit 1,170 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1170, here are decompositions:

7 + 1163 = 1170
17 + 1153 = 1170
19 + 1151 = 1170
41 + 1129 = 1170
47 + 1123 = 1170
53 + 1117 = 1170
61 + 1109 = 1170
67 + 1103 = 1170

Showing the first eight; more decompositions exist.

Unicode codepoint

Cyrillic Capital Letter Ghe With Stroke

U+0492

Uppercase letter (Lu)

UTF-8 encoding: D2 92 (2 bytes).

Lookup U+0492 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000492

RGB(0, 4, 146)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.146.

Address: 0.0.4.146
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.146

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

Musical pitch

Heard as a frequency, 1,170 Hz is closest to:

Concert pitch (A4 = 440 Hz): D6 (1174.7 Hz, -7¢)
Scientific pitch (C4 = 256 Hz): D6 (1149.4 Hz, +31¢)
Baroque pitch (A4 = 415 Hz): D♯6 (1173.8 Hz, -6¢)

Position in π

The digit sequence 1170 first appears in π at position 94 of the decimal expansion (the 94ordinal-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 1170 on Pi Search ↗