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Number

1,168

1,168 is a composite number, even, a calendar year.

Deficient Number Flippable Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Year

Historical context — 1168 AD

Calendar year

Year 1168 (MCLXVIII) was a leap year starting on Monday 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
Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year
366
ISO weeks
52
Started on
Monday
January 1, 1168
Ended on
Tuesday
December 31, 1168
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1160s
1160–1169
Century
12th century
1101–1200
Millennium
2nd millennium
1001–2000
Years ago
858
858 years before 2026.

In other calendars

Hebrew
4928 / 4929 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
563 / 564 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Rat
Sexagenary cycle position 25 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1711 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
546 / 547 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1160 / 1161 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1090 / 1089 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
16
Digit product
48
Digital root
7
Palindrome
No
Bit width
11 bits
Reversed
8,611
Flips to (rotate 180°)
8,911
Recamán's sequence
a(1,836) = 1,168
Square (n²)
1,364,224
Cube (n³)
1,593,413,632
Divisor count
10
σ(n) — sum of divisors
2,294
φ(n) — Euler's totient
576
Sum of prime factors
81

Primality

Prime factorization: 2 4 × 73

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

Divisors & multiples

All divisors (10)
1 · 2 · 4 · 8 · 16 · 73 · 146 · 292 · 584 (half) · 1168
Aliquot sum (sum of proper divisors): 1,126
Factor pairs (a × b = 1,168)
1 × 1168
2 × 584
4 × 292
8 × 146
16 × 73
First multiples
1,168 · 2,336 (double) · 3,504 · 4,672 · 5,840 · 7,008 · 8,176 · 9,344 · 10,512 · 11,680

Sums & aliquot sequence

As a sum of two squares: 12² + 32²
As consecutive integers: 21 + 22 + … + 52
Aliquot sequence: 1,168 1,126 566 286 218 112 136 134 70 74 40 50 43 1 0 — terminates at zero

Representations

In words
one thousand one hundred sixty-eight
Ordinal
1168th
Roman numeral
MCLXVIII
Binary
10010010000
Octal
2220
Hexadecimal
0x490
Base64
BJA=
One's complement
64,367 (16-bit)
In other bases
ternary (3) 1121021
quaternary (4) 102100
quinary (5) 14133
senary (6) 5224
septenary (7) 3256
nonary (9) 1537
undecimal (11) 972
duodecimal (12) 814
tridecimal (13) 6bb
tetradecimal (14) 5d6
pentadecimal (15) 52d

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αρξηʹ
Mayan (base 20)
𝋢·𝋲·𝋨
Chinese
一千一百六十八
Chinese (financial)
壹仟壹佰陸拾捌
In other modern scripts
Eastern Arabic ١١٦٨ Devanagari ११६८ Bengali ১১৬৮ Tamil ௧௧௬௮ Thai ๑๑๖๘ Tibetan ༡༡༦༨ Khmer ១១៦៨ Lao ໑໑໖໘ Burmese ၁၁၆၈

Digit at this position in famous constants

π — Pi (π)
Digit 1,168 = 9
e — Euler's number (e)
Digit 1,168 = 7
φ — Golden ratio (φ)
Digit 1,168 = 5
√2 — Pythagoras's (√2)
Digit 1,168 = 5
ln 2 — Natural log of 2
Digit 1,168 = 3
γ — Euler-Mascheroni (γ)
Digit 1,168 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1168, here are decompositions:

  • 5 + 1163 = 1168
  • 17 + 1151 = 1168
  • 59 + 1109 = 1168
  • 71 + 1097 = 1168
  • 107 + 1061 = 1168
  • 137 + 1031 = 1168
  • 149 + 1019 = 1168
  • 191 + 977 = 1168

Showing the first eight; more decompositions exist.

Unicode codepoint
Ґ
Cyrillic Capital Letter Ghe With Upturn
U+0490
Uppercase letter (Lu)

UTF-8 encoding: D2 90 (2 bytes).

Hex color
#000490
RGB(0, 4, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.144.

Address
0.0.4.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.144

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

Position in π

The digit sequence 1168 first appears in π at position 1,129 of the decimal expansion (the 1,129ordinal-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.