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Number

1,064

1,064 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Historical context — 1064 AD

Calendar year

Year 1064 (MLXIV) was a leap year starting on Thursday 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
Friday
January 1, 1064
Ended on
Saturday
December 31, 1064
Friday the 13ths
1
One Friday the 13th this year.
Decade
1060s
1060–1069
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
962
962 years before 2026.

In other calendars

Hebrew
4824 / 4825 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
456 / 457 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Dragon
Sexagenary cycle position 41 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1607 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
442 / 443 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1056 / 1057 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
986 / 985 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
11 bits
Reversed
4,601
Recamán's sequence
a(4,291) = 1,064
Square (n²)
1,132,096
Cube (n³)
1,204,550,144
Divisor count
16
σ(n) — sum of divisors
2,400
φ(n) — Euler's totient
432
Sum of prime factors
32

Primality

Prime factorization: 2 3 × 7 × 19

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

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 7 · 8 · 14 · 19 · 28 · 38 · 56 · 76 · 133 · 152 · 266 · 532 (half) · 1064
Aliquot sum (sum of proper divisors): 1,336
Factor pairs (a × b = 1,064)
1 × 1064
2 × 532
4 × 266
7 × 152
8 × 133
14 × 76
19 × 56
28 × 38
First multiples
1,064 · 2,128 (double) · 3,192 · 4,256 · 5,320 · 6,384 · 7,448 · 8,512 · 9,576 · 10,640

Sums & aliquot sequence

As consecutive integers: 149 + 150 + … + 155 59 + 60 + … + 74 47 + 48 + … + 65
Aliquot sequence: 1,064 1,336 1,184 1,210 1,184 — enters a cycle

Representations

In words
one thousand sixty-four
Ordinal
1064th
Roman numeral
MLXIV
Binary
10000101000
Octal
2050
Hexadecimal
0x428
Base64
BCg=
One's complement
64,471 (16-bit)
In other bases
ternary (3) 1110102
quaternary (4) 100220
quinary (5) 13224
senary (6) 4532
septenary (7) 3050
nonary (9) 1412
undecimal (11) 888
duodecimal (12) 748
tridecimal (13) 63b
tetradecimal (14) 560
pentadecimal (15) 4ae

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αξδʹ
Mayan (base 20)
𝋢·𝋭·𝋤
Chinese
一千零六十四
Chinese (financial)
壹仟零陸拾肆
In other modern scripts
Eastern Arabic ١٠٦٤ Devanagari १०६४ Bengali ১০৬৪ Tamil ௧௦௬௪ Thai ๑๐๖๔ Tibetan ༡༠༦༤ Khmer ១០៦៤ Lao ໑໐໖໔ Burmese ၁၀၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 1,064 = 9
e — Euler's number (e)
Digit 1,064 = 7
φ — Golden ratio (φ)
Digit 1,064 = 1
√2 — Pythagoras's (√2)
Digit 1,064 = 8
ln 2 — Natural log of 2
Digit 1,064 = 5
γ — Euler-Mascheroni (γ)
Digit 1,064 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1064, here are decompositions:

  • 3 + 1061 = 1064
  • 13 + 1051 = 1064
  • 31 + 1033 = 1064
  • 43 + 1021 = 1064
  • 67 + 997 = 1064
  • 73 + 991 = 1064
  • 97 + 967 = 1064
  • 127 + 937 = 1064

Showing the first eight; more decompositions exist.

Unicode codepoint
Ш
Cyrillic Capital Letter Sha
U+0428
Uppercase letter (Lu)

UTF-8 encoding: D0 A8 (2 bytes).

Hex color
#000428
RGB(0, 4, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.40.

Address
0.0.4.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.40

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

Position in π

The digit sequence 1064 first appears in π at position 7,353 of the decimal expansion (the 7,353ordinal-suffix:rd 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.