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Number

690

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

Abundant Number Arithmetic Number Flippable Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Smith Number Squarefree Year

Historical context — 690 AD

Calendar year

Year 690 (DCXC) was a common year starting on Saturday of the Julian calendar.

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Historical context — 690 BC

Decade

This article concerns the period 699 BC – 690 BC.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

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
Wednesday
January 1, 690
Ended on
Wednesday
December 31, 690
Friday the 13ths
1
One Friday the 13th this year.
Decade
690s
690–699
Century
7th century
601–700
Millennium
1st millennium
1–1000
Years ago
1,336
1336 years before 2026.

In other calendars

Hebrew
4450 / 4451 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
70 / 71 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Tiger
Sexagenary cycle position 27 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1233 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
68 / 69 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
682 / 683 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
612 / 611 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
10 bits
Reversed
96
Flips to (rotate 180°)
69
Recamán's sequence
a(2,244) = 690
Square (n²)
476,100
Cube (n³)
328,509,000
Divisor count
16
σ(n) — sum of divisors
1,728
φ(n) — Euler's totient
176
Sum of prime factors
33

Primality

Prime factorization: 2 × 3 × 5 × 23

Nearest primes: 683 (−7) · 691 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 5 · 6 · 10 · 15 · 23 · 30 · 46 · 69 · 115 · 138 · 230 · 345 (half) · 690
Aliquot sum (sum of proper divisors): 1,038
Factor pairs (a × b = 690)
1 × 690
2 × 345
3 × 230
5 × 138
6 × 115
10 × 69
15 × 46
23 × 30
First multiples
690 · 1,380 (double) · 2,070 · 2,760 · 3,450 · 4,140 · 4,830 · 5,520 · 6,210 · 6,900

Sums & aliquot sequence

As consecutive integers: 229 + 230 + 231 171 + 172 + 173 + 174 136 + 137 + 138 + 139 + 140 52 + 53 + … + 63
Aliquot sequence: 690 1,038 1,050 1,926 2,286 2,706 3,342 3,354 4,038 4,050 7,203 4,001 1 0 — terminates at zero

Representations

In words
six hundred ninety
Ordinal
690th
Roman numeral
DCXC
Binary
1010110010
Octal
1262
Hexadecimal
0x2B2
Base64
ArI=
One's complement
64,845 (16-bit)
In other bases
ternary (3) 221120
quaternary (4) 22302
quinary (5) 10230
senary (6) 3110
septenary (7) 2004
nonary (9) 846
undecimal (11) 578
duodecimal (12) 496
tridecimal (13) 411
tetradecimal (14) 374
pentadecimal (15) 310

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
χϟʹ
Mayan (base 20)
𝋡·𝋮·𝋪
Chinese
六百九十
Chinese (financial)
陸佰玖拾
In other modern scripts
Eastern Arabic ٦٩٠ Devanagari ६९० Bengali ৬৯০ Tamil ௬௯௦ Thai ๖๙๐ Tibetan ༦༩༠ Khmer ៦៩០ Lao ໖໙໐ Burmese ၆၉၀

Digit at this position in famous constants

π — Pi (π)
Digit 690 = 7
e — Euler's number (e)
Digit 690 = 3
φ — Golden ratio (φ)
Digit 690 = 4
√2 — Pythagoras's (√2)
Digit 690 = 0
ln 2 — Natural log of 2
Digit 690 = 9
γ — Euler-Mascheroni (γ)
Digit 690 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 690, here are decompositions:

  • 7 + 683 = 690
  • 13 + 677 = 690
  • 17 + 673 = 690
  • 29 + 661 = 690
  • 31 + 659 = 690
  • 37 + 653 = 690
  • 43 + 647 = 690
  • 47 + 643 = 690

Showing the first eight; more decompositions exist.

Unicode codepoint
ʲ
Modifier Letter Small J
U+02B2
Modifier letter (Lm)

UTF-8 encoding: CA B2 (2 bytes).

Hex color
#0002B2
RGB(0, 2, 178)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.178.

Address
0.0.2.178
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.2.178

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