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Number

1,066

1,066 is a composite number, even, a calendar year.

Deficient Number Evil Number Flippable Harshad / Niven Recamán's Sequence Sphenic Number Squarefree Year

Notable events — 1066 AD

  1. Mar 20 Halley's Comet appears, later woven into the Bayeux Tapestry.
  2. Jan 5 Edward the Confessor dies; Harold Godwinson is named King of England.
  3. Sep 25 Harold defeats Harald Hardrada at the Battle of Stamford Bridge.
  4. Oct 14 William of Normandy defeats and kills Harold II at the Battle of Hastings.
  5. Dec 25 William the Conqueror is crowned King of England at Westminster Abbey.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

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
Monday
January 1, 1066
Ended on
Monday
December 31, 1066
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
960
960 years before 2026.

In other calendars

Hebrew
4826 / 4827 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
458 / 459 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Horse
Sexagenary cycle position 43 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1609 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
444 / 445 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1058 / 1059 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
988 / 987 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
11 bits
Reversed
6,601
Flips to (rotate 180°)
9,901
Recamán's sequence
a(4,287) = 1,066
Square (n²)
1,136,356
Cube (n³)
1,211,355,496
Divisor count
8
σ(n) — sum of divisors
1,764
φ(n) — Euler's totient
480
Sum of prime factors
56

Primality

Prime factorization: 2 × 13 × 41

Nearest primes: 1,063 (−3) · 1,069 (+3)

Divisors & multiples

All divisors (8)
1 · 2 · 13 · 26 · 41 · 82 · 533 (half) · 1066
Aliquot sum (sum of proper divisors): 698
Factor pairs (a × b = 1,066)
1 × 1066
2 × 533
13 × 82
26 × 41
First multiples
1,066 · 2,132 (double) · 3,198 · 4,264 · 5,330 · 6,396 · 7,462 · 8,528 · 9,594 · 10,660

Sums & aliquot sequence

As a sum of two squares: 15² + 29² = 21² + 25²
As consecutive integers: 265 + 266 + 267 + 268 76 + 77 + … + 88 6 + 7 + … + 46
Aliquot sequence: 1,066 698 352 404 310 266 214 110 106 56 64 63 41 1 0 — terminates at zero

Representations

In words
one thousand sixty-six
Ordinal
1066th
Roman numeral
MLXVI
Binary
10000101010
Octal
2052
Hexadecimal
0x42A
Base64
BCo=
One's complement
64,469 (16-bit)
In other bases
ternary (3) 1110111
quaternary (4) 100222
quinary (5) 13231
senary (6) 4534
septenary (7) 3052
nonary (9) 1414
undecimal (11) 88a
duodecimal (12) 74a
tridecimal (13) 640
tetradecimal (14) 562
pentadecimal (15) 4b1

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αξϛʹ
Mayan (base 20)
𝋢·𝋭·𝋦
Chinese
一千零六十六
Chinese (financial)
壹仟零陸拾陸
In other modern scripts
Eastern Arabic ١٠٦٦ Devanagari १०६६ Bengali ১০৬৬ Tamil ௧௦௬௬ Thai ๑๐๖๖ Tibetan ༡༠༦༦ Khmer ១០៦៦ Lao ໑໐໖໖ Burmese ၁၀၆၆

Digit at this position in famous constants

π — Pi (π)
Digit 1,066 = 5
e — Euler's number (e)
Digit 1,066 = 0
φ — Golden ratio (φ)
Digit 1,066 = 4
√2 — Pythagoras's (√2)
Digit 1,066 = 1
ln 2 — Natural log of 2
Digit 1,066 = 4
γ — Euler-Mascheroni (γ)
Digit 1,066 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1066, here are decompositions:

  • 3 + 1063 = 1066
  • 5 + 1061 = 1066
  • 17 + 1049 = 1066
  • 47 + 1019 = 1066
  • 53 + 1013 = 1066
  • 83 + 983 = 1066
  • 89 + 977 = 1066
  • 113 + 953 = 1066

Showing the first eight; more decompositions exist.

Unicode codepoint
Ъ
Cyrillic Capital Letter Hard Sign
U+042A
Uppercase letter (Lu)

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

Hex color
#00042A
RGB(0, 4, 42)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.42.

Address
0.0.4.42
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.42

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

Position in π

The digit sequence 1066 first appears in π at position 1,892 of the decimal expansion (the 1,892ordinal-suffix:nd 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.