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Number

1,068

1,068 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Evil Number Flippable Recamán's Sequence Semiperfect Number Year

Historical context — 1068 AD

Calendar year

Year 1068 (MLXVIII) was a leap year starting on Tuesday 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
53
Long year: contains 53 ISO weeks.
Started on
Wednesday
January 1, 1068
Ended on
Thursday
December 31, 1068
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1060s
1060–1069
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
958
958 years before 2026.

In other calendars

Hebrew
4828 / 4829 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
460 / 461 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Monkey
Sexagenary cycle position 45 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1611 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
446 / 447 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1060 / 1061 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
990 / 989 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
11 bits
Reversed
8,601
Flips to (rotate 180°)
8,901
Recamán's sequence
a(4,283) = 1,068
Square (n²)
1,140,624
Cube (n³)
1,218,186,432
Divisor count
12
σ(n) — sum of divisors
2,520
φ(n) — Euler's totient
352
Sum of prime factors
96

Primality

Prime factorization: 2 2 × 3 × 89

Nearest primes: 1,063 (−5) · 1,069 (+1)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 89 · 178 · 267 · 356 · 534 (half) · 1068
Aliquot sum (sum of proper divisors): 1,452
Factor pairs (a × b = 1,068)
1 × 1068
2 × 534
3 × 356
4 × 267
6 × 178
12 × 89
First multiples
1,068 · 2,136 (double) · 3,204 · 4,272 · 5,340 · 6,408 · 7,476 · 8,544 · 9,612 · 10,680

Sums & aliquot sequence

As consecutive integers: 355 + 356 + 357 130 + 131 + … + 137 33 + 34 + … + 56
Aliquot sequence: 1,068 1,452 2,272 2,264 1,996 1,504 1,520 2,200 3,380 4,306 2,156 2,632 3,128 3,352 2,948 2,764 2,080 — unresolved within range

Representations

In words
one thousand sixty-eight
Ordinal
1068th
Roman numeral
MLXVIII
Binary
10000101100
Octal
2054
Hexadecimal
0x42C
Base64
BCw=
One's complement
64,467 (16-bit)
In other bases
ternary (3) 1110120
quaternary (4) 100230
quinary (5) 13233
senary (6) 4540
septenary (7) 3054
nonary (9) 1416
undecimal (11) 891
duodecimal (12) 750
tridecimal (13) 642
tetradecimal (14) 564
pentadecimal (15) 4b3

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αξηʹ
Mayan (base 20)
𝋢·𝋭·𝋨
Chinese
一千零六十八
Chinese (financial)
壹仟零陸拾捌
In other modern scripts
Eastern Arabic ١٠٦٨ Devanagari १०६८ Bengali ১০৬৮ Tamil ௧௦௬௮ Thai ๑๐๖๘ Tibetan ༡༠༦༨ Khmer ១០៦៨ Lao ໑໐໖໘ Burmese ၁၀၆၈

Digit at this position in famous constants

π — Pi (π)
Digit 1,068 = 7
e — Euler's number (e)
Digit 1,068 = 1
φ — Golden ratio (φ)
Digit 1,068 = 2
√2 — Pythagoras's (√2)
Digit 1,068 = 5
ln 2 — Natural log of 2
Digit 1,068 = 2
γ — Euler-Mascheroni (γ)
Digit 1,068 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1068, here are decompositions:

  • 5 + 1063 = 1068
  • 7 + 1061 = 1068
  • 17 + 1051 = 1068
  • 19 + 1049 = 1068
  • 29 + 1039 = 1068
  • 37 + 1031 = 1068
  • 47 + 1021 = 1068
  • 59 + 1009 = 1068

Showing the first eight; more decompositions exist.

Unicode codepoint
Ь
Cyrillic Capital Letter Soft Sign
U+042C
Uppercase letter (Lu)

UTF-8 encoding: D0 AC (2 bytes).

Hex color
#00042C
RGB(0, 4, 44)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.44.

Address
0.0.4.44
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.44

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

Position in π

The digit sequence 1068 first appears in π at position 10,431 of the decimal expansion (the 10,431ordinal-suffix:st 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.