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Number

868

868 is a composite number, even, a calendar year.

Abundant Number Flippable Odious Number Palindrome Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Historical context — 868 AD

Calendar year

Year 868 (DCCCLXVIII) was a leap year starting on Thursday of the Julian calendar.

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Historical context — 868 BC

Decade

This article concerns the period 869 BC – 860 BC.

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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
Sunday
January 1, 868
Ended on
Monday
December 31, 868
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
860s
860–869
Century
9th century
801–900
Millennium
1st millennium
1–1000
Years ago
1,158
1158 years before 2026.

In other calendars

Hebrew
4628 / 4629 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
253 / 255 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
1411 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
246 / 247 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
860 / 861 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
790 / 789 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
22
Digit product
384
Digital root
4
Palindrome
Yes
Bit width
10 bits
Flips to (rotate 180°)
898
Recamán's sequence
a(795) = 868
Square (n²)
753,424
Cube (n³)
653,972,032
Divisor count
12
σ(n) — sum of divisors
1,792
φ(n) — Euler's totient
360
Sum of prime factors
42

Primality

Prime factorization: 2 2 × 7 × 31

Nearest primes: 863 (−5) · 877 (+9)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 7 · 14 · 28 · 31 · 62 · 124 · 217 · 434 (half) · 868
Aliquot sum (sum of proper divisors): 924
Factor pairs (a × b = 868)
1 × 868
2 × 434
4 × 217
7 × 124
14 × 62
28 × 31
First multiples
868 · 1,736 (double) · 2,604 · 3,472 · 4,340 · 5,208 · 6,076 · 6,944 · 7,812 · 8,680

Sums & aliquot sequence

As consecutive integers: 121 + 122 + … + 127 105 + 106 + … + 112 13 + 14 + … + 43
Aliquot sequence: 868 924 1,764 3,423 1,825 469 75 49 8 7 1 0 — terminates at zero

Representations

In words
eight hundred sixty-eight
Ordinal
868th
Roman numeral
DCCCLXVIII
Binary
1101100100
Octal
1544
Hexadecimal
0x364
Base64
A2Q=
One's complement
64,667 (16-bit)
In other bases
ternary (3) 1012011
quaternary (4) 31210
quinary (5) 11433
senary (6) 4004
septenary (7) 2350
nonary (9) 1164
undecimal (11) 71a
duodecimal (12) 604
tridecimal (13) 51a
tetradecimal (14) 460
pentadecimal (15) 3cd

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
ωξηʹ
Mayan (base 20)
𝋢·𝋣·𝋨
Chinese
八百六十八
Chinese (financial)
捌佰陸拾捌
In other modern scripts
Eastern Arabic ٨٦٨ Devanagari ८६८ Bengali ৮৬৮ Tamil ௮௬௮ Thai ๘๖๘ Tibetan ༨༦༨ Khmer ៨៦៨ Lao ໘໖໘ Burmese ၈၆၈

Digit at this position in famous constants

π — Pi (π)
Digit 868 = 2
e — Euler's number (e)
Digit 868 = 8
φ — Golden ratio (φ)
Digit 868 = 7
√2 — Pythagoras's (√2)
Digit 868 = 2
ln 2 — Natural log of 2
Digit 868 = 3
γ — Euler-Mascheroni (γ)
Digit 868 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 868, here are decompositions:

  • 5 + 863 = 868
  • 11 + 857 = 868
  • 29 + 839 = 868
  • 41 + 827 = 868
  • 47 + 821 = 868
  • 59 + 809 = 868
  • 71 + 797 = 868
  • 107 + 761 = 868

Showing the first eight; more decompositions exist.

Unicode codepoint
ͤ
Combining Latin Small Letter E
U+0364
Non-spacing mark (Mn)

UTF-8 encoding: CD A4 (2 bytes).

Hex color
#000364
RGB(0, 3, 100)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.100.

Address
0.0.3.100
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.3.100

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

NANP area code 868

The number 868 is an active NANP area code (North American Numbering Plan).

Primary area
Statewide
Region
Trinidad and Tobago
Country
Trinidad and Tobago

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.