Number

1,068

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

1,068 (one thousand sixty-eight) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 89. Its proper divisors sum to 1,452, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MLXVIII and in binary, 10000101100.

Abundant Number Arithmetic Number Cube-Free Evil Number Flippable Recamán's Sequence Refactorable Number Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,056 1,057 1,058 1,059 1,060 1,061 1,062 1,063 1,064 1,065 1,066 1,067 1,068 1,069 1,070 1,071 1,072 1,073 1,074 1,075 1,076 1,077 1,078 1,079 1,080

less more

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 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

Continued fraction of √n

√1,068 = [32; (1, 2, 7, 1, 5, 16, 5, 1, 7, 2, 1, 64)]

Period length 12 — the block in parentheses repeats forever.

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)
Scientific notation: 1.068 × 10³
As a duration: 1,068 s = 17 minutes, 48 seconds

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

As an angle

1,068° = 2 × 360° + 348°

348° ≈ 6.074 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

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

Cyrillic Capital Letter Soft Sign

U+042C

Uppercase letter (Lu)

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

Lookup U+042C on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 1,068 Hz is closest to:

Concert pitch (A4 = 440 Hz): C6 (1046.5 Hz, +35¢)
Scientific pitch (C4 = 256 Hz): C♯6 (1084.9 Hz, -27¢)
Baroque pitch (A4 = 415 Hz): C♯6 (1045.7 Hz, +36¢)

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.

Look up 1068 on Pi Search ↗