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Number

680

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

Abundant Number Evil Number Flippable Happy Number Practical Number Recamán's Sequence Semiperfect Number Tetrahedral Year

Historical context — 680 AD

Calendar year

Year 680 (DCLXXX) was a leap year starting on Sunday of the Julian calendar.

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Historical context — 680 BC

Decade

This article concerns the period 689 BC – 680 BC.

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
53
Long year: contains 53 ISO weeks.
Started on
Thursday
January 1, 680
Ended on
Friday
December 31, 680
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
680s
680–689
Century
7th century
601–700
Millennium
1st millennium
1–1000
Years ago
1,346
1346 years before 2026.

In other calendars

Hebrew
4440 / 4441 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
60 / 61 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Dragon
Sexagenary cycle position 17 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1223 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
58 / 59 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
672 / 673 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
602 / 601 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
10 bits
Reversed
86
Flips to (rotate 180°)
89
Recamán's sequence
a(2,264) = 680
Square (n²)
462,400
Cube (n³)
314,432,000
Divisor count
16
σ(n) — sum of divisors
1,620
φ(n) — Euler's totient
256
Sum of prime factors
28

Primality

Prime factorization: 2 3 × 5 × 17

Nearest primes: 677 (−3) · 683 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 5 · 8 · 10 · 17 · 20 · 34 · 40 · 68 · 85 · 136 · 170 · 340 (half) · 680
Aliquot sum (sum of proper divisors): 940
Factor pairs (a × b = 680)
1 × 680
2 × 340
4 × 170
5 × 136
8 × 85
10 × 68
17 × 40
20 × 34
First multiples
680 · 1,360 (double) · 2,040 · 2,720 · 3,400 · 4,080 · 4,760 · 5,440 · 6,120 · 6,800

Sums & aliquot sequence

As a sum of two squares: 2² + 26² = 14² + 22²
As consecutive integers: 134 + 135 + 136 + 137 + 138 35 + 36 + … + 50 32 + 33 + … + 48
Aliquot sequence: 680 940 1,076 814 554 280 440 640 890 730 602 454 230 202 104 106 56 — unresolved within range

Representations

In words
six hundred eighty
Ordinal
680th
Roman numeral
DCLXXX
Binary
1010101000
Octal
1250
Hexadecimal
0x2A8
Base64
Aqg=
One's complement
64,855 (16-bit)
In other bases
ternary (3) 221012
quaternary (4) 22220
quinary (5) 10210
senary (6) 3052
septenary (7) 1661
nonary (9) 835
undecimal (11) 569
duodecimal (12) 488
tridecimal (13) 404
tetradecimal (14) 368
pentadecimal (15) 305

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒌋
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
χπʹ
Mayan (base 20)
𝋡·𝋮·𝋠
Chinese
六百八十
Chinese (financial)
陸佰捌拾
In other modern scripts
Eastern Arabic ٦٨٠ Devanagari ६८० Bengali ৬৮০ Tamil ௬௮௦ Thai ๖๘๐ Tibetan ༦༨༠ Khmer ៦៨០ Lao ໖໘໐ Burmese ၆၈၀

Digit at this position in famous constants

π — Pi (π)
Digit 680 = 3
e — Euler's number (e)
Digit 680 = 7
φ — Golden ratio (φ)
Digit 680 = 9
√2 — Pythagoras's (√2)
Digit 680 = 0
ln 2 — Natural log of 2
Digit 680 = 4
γ — Euler-Mascheroni (γ)
Digit 680 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 680, here are decompositions:

  • 3 + 677 = 680
  • 7 + 673 = 680
  • 19 + 661 = 680
  • 37 + 643 = 680
  • 61 + 619 = 680
  • 67 + 613 = 680
  • 73 + 607 = 680
  • 79 + 601 = 680

Showing the first eight; more decompositions exist.

Unicode codepoint
ʨ
Latin Small Letter Tc Digraph With Curl
U+02A8
Lowercase letter (Ll)

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

Hex color
#0002A8
RGB(0, 2, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.168.

Address
0.0.2.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.2.168

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

NANP area code 680

The number 680 is an active NANP area code (North American Numbering Plan).

Primary area
Syracuse
Region
New York
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.