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Number

660

660 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Evil Number Flippable Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number Year

Historical context — 660 AD

Calendar year

Year 660 (DCLX) was a leap year starting on Wednesday of the Julian calendar.

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Historical context — 660 BC

Calendar year

The year 660 BC was a year of the pre-Julian Roman 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
Sunday
January 1, 660
Ended on
Monday
December 31, 660
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
660s
660–669
Century
7th century
601–700
Millennium
1st millennium
1–1000
Years ago
1,366
1366 years before 2026.

In other calendars

Hebrew
4420 / 4421 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
39 / 40 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Monkey
Sexagenary cycle position 57 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1203 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
38 / 39 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
652 / 653 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
582 / 581 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
10 bits
Reversed
66
Flips to (rotate 180°)
99
Recamán's sequence
a(2,304) = 660
Square (n²)
435,600
Cube (n³)
287,496,000
Divisor count
24
σ(n) — sum of divisors
2,016
φ(n) — Euler's totient
160
Sum of prime factors
23

Primality

Prime factorization: 2 2 × 3 × 5 × 11

Nearest primes: 659 (−1) · 661 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 11 · 12 · 15 · 20 · 22 · 30 · 33 · 44 · 55 · 60 · 66 · 110 · 132 · 165 · 220 · 330 (half) · 660
Aliquot sum (sum of proper divisors): 1,356
Factor pairs (a × b = 660)
1 × 660
2 × 330
3 × 220
4 × 165
5 × 132
6 × 110
10 × 66
11 × 60
12 × 55
15 × 44
20 × 33
22 × 30
First multiples
660 · 1,320 (double) · 1,980 · 2,640 · 3,300 · 3,960 · 4,620 · 5,280 · 5,940 · 6,600

Sums & aliquot sequence

As consecutive integers: 219 + 220 + 221 130 + 131 + 132 + 133 + 134 79 + 80 + … + 86 55 + 56 + … + 65
Aliquot sequence: 660 1,356 1,836 3,204 4,986 5,856 9,768 17,592 26,448 47,952 94,586 47,296 46,684 42,524 31,900 46,220 50,884 — unresolved within range

Representations

In words
six hundred sixty
Ordinal
660th
Roman numeral
DCLX
Binary
1010010100
Octal
1224
Hexadecimal
0x294
Base64
ApQ=
One's complement
64,875 (16-bit)
In other bases
ternary (3) 220110
quaternary (4) 22110
quinary (5) 10120
senary (6) 3020
septenary (7) 1632
nonary (9) 813
undecimal (11) 550
duodecimal (12) 470
tridecimal (13) 3ba
tetradecimal (14) 352
pentadecimal (15) 2e0

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 ·
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
χξʹ
Mayan (base 20)
𝋡·𝋭·𝋠
Chinese
六百六十
Chinese (financial)
陸佰陸拾
In other modern scripts
Eastern Arabic ٦٦٠ Devanagari ६६० Bengali ৬৬০ Tamil ௬௬௦ Thai ๖๖๐ Tibetan ༦༦༠ Khmer ៦៦០ Lao ໖໖໐ Burmese ၆၆၀

Digit at this position in famous constants

π — Pi (π)
Digit 660 = 0
e — Euler's number (e)
Digit 660 = 2
φ — Golden ratio (φ)
Digit 660 = 1
√2 — Pythagoras's (√2)
Digit 660 = 3
ln 2 — Natural log of 2
Digit 660 = 2
γ — Euler-Mascheroni (γ)
Digit 660 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 660, here are decompositions:

  • 7 + 653 = 660
  • 13 + 647 = 660
  • 17 + 643 = 660
  • 19 + 641 = 660
  • 29 + 631 = 660
  • 41 + 619 = 660
  • 43 + 617 = 660
  • 47 + 613 = 660

Showing the first eight; more decompositions exist.

Unicode codepoint
ʔ
Latin Letter Glottal Stop
U+0294
Other letter (Lo)

UTF-8 encoding: CA 94 (2 bytes).

Hex color
#000294
RGB(0, 2, 148)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.148.

Address
0.0.2.148
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.2.148

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

NANP area code 660

The number 660 is an active NANP area code (North American Numbering Plan).

Primary area
Sedalia / Marshall
Region
Missouri
Country
United States

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000000660
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.