Number

1,064

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

1,064 (one thousand sixty-four) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2³ × 7 × 19. Its proper divisors sum to 1,336, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MLXIV and in binary, 10000101000.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,052 1,053 1,054 1,055 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

less more

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 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 a sum of two cubes: 4³ + 10³

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

Continued fraction of √n

√1,064 = [32; (1, 1, 1, 1, 1, 1, 1, 64)]

Period length 8 — the block in parentheses repeats forever.

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)
Scientific notation: 1.064 × 10³
As a duration: 1,064 s = 17 minutes, 44 seconds

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

Palindromic in base 11

As an angle

1,064° = 2 × 360° + 344°

344° ≈ 6.004 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

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

Cyrillic Capital Letter Sha

U+0428

Uppercase letter (Lu)

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

Lookup U+0428 on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 1,064 Hz is closest to:

Concert pitch (A4 = 440 Hz): C6 (1046.5 Hz, +29¢)
Scientific pitch (C4 = 256 Hz): C♯6 (1084.9 Hz, -34¢)
Baroque pitch (A4 = 415 Hz): C♯6 (1045.7 Hz, +30¢)

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.

Look up 1064 on Pi Search ↗