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Number

1,166

1,166 is a composite number, even, a calendar year.

Arithmetic Number Deficient Number Flippable Odious Number Pernicious Number Recamán's Sequence Self Number Sphenic Number Squarefree Year

Historical context — 1166 AD

Calendar year

Year 1166 (MCLXVI) was a common year starting on Saturday 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
Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year
365
ISO weeks
52
Started on
Saturday
January 1, 1166
Ended on
Saturday
December 31, 1166
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
860
860 years before 2026.

In other calendars

Hebrew
4926 / 4927 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
561 / 562 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Dog
Sexagenary cycle position 23 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1709 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
544 / 545 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1158 / 1159 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1088 / 1087 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
14
Digit product
36
Digital root
5
Palindrome
No
Bit width
11 bits
Reversed
6,611
Flips to (rotate 180°)
9,911
Recamán's sequence
a(1,840) = 1,166
Square (n²)
1,359,556
Cube (n³)
1,585,242,296
Divisor count
8
σ(n) — sum of divisors
1,944
φ(n) — Euler's totient
520
Sum of prime factors
66

Primality

Prime factorization: 2 × 11 × 53

Nearest primes: 1,163 (−3) · 1,171 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 11 · 22 · 53 · 106 · 583 (half) · 1166
Aliquot sum (sum of proper divisors): 778
Factor pairs (a × b = 1,166)
1 × 1166
2 × 583
11 × 106
22 × 53
First multiples
1,166 · 2,332 (double) · 3,498 · 4,664 · 5,830 · 6,996 · 8,162 · 9,328 · 10,494 · 11,660

Sums & aliquot sequence

As consecutive integers: 290 + 291 + 292 + 293 101 + 102 + … + 111 5 + 6 + … + 48
Aliquot sequence: 1,166 778 392 463 1 0 — terminates at zero

Representations

In words
one thousand one hundred sixty-six
Ordinal
1166th
Roman numeral
MCLXVI
Binary
10010001110
Octal
2216
Hexadecimal
0x48E
Base64
BI4=
One's complement
64,369 (16-bit)
In other bases
ternary (3) 1121012
quaternary (4) 102032
quinary (5) 14131
senary (6) 5222
septenary (7) 3254
nonary (9) 1535
undecimal (11) 970
duodecimal (12) 812
tridecimal (13) 6b9
tetradecimal (14) 5d4
pentadecimal (15) 52b

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αρξϛʹ
Mayan (base 20)
𝋢·𝋲·𝋦
Chinese
一千一百六十六
Chinese (financial)
壹仟壹佰陸拾陸
In other modern scripts
Eastern Arabic ١١٦٦ Devanagari ११६६ Bengali ১১৬৬ Tamil ௧௧௬௬ Thai ๑๑๖๖ Tibetan ༡༡༦༦ Khmer ១១៦៦ Lao ໑໑໖໖ Burmese ၁၁၆၆

Digit at this position in famous constants

π — Pi (π)
Digit 1,166 = 3
e — Euler's number (e)
Digit 1,166 = 6
φ — Golden ratio (φ)
Digit 1,166 = 1
√2 — Pythagoras's (√2)
Digit 1,166 = 1
ln 2 — Natural log of 2
Digit 1,166 = 2
γ — Euler-Mascheroni (γ)
Digit 1,166 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1166, here are decompositions:

  • 3 + 1163 = 1166
  • 13 + 1153 = 1166
  • 37 + 1129 = 1166
  • 43 + 1123 = 1166
  • 73 + 1093 = 1166
  • 79 + 1087 = 1166
  • 97 + 1069 = 1166
  • 103 + 1063 = 1166

Showing the first eight; more decompositions exist.

Unicode codepoint
Ҏ
Cyrillic Capital Letter Er With Tick
U+048E
Uppercase letter (Lu)

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

Hex color
#00048E
RGB(0, 4, 142)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.142.

Address
0.0.4.142
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.142

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

Position in π

The digit sequence 1166 first appears in π at position 3,993 of the decimal expansion (the 3,993ordinal-suffix:rd 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.