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Number

1,690

1,690 is a composite number, even, a calendar year.

Deficient Number Evil Number Flippable Gapful Number Recamán's Sequence Year

Notable events — 1690 AD

  1. Jul 1 William III defeats James II at the Battle of the Boyne.
  2. Jul 10 The Anglo-Dutch fleet is defeated at Beachy Head.
  3. Sep 24 John Locke publishes An Essay Concerning Human Understanding.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

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
Sunday
January 1, 1690
Ended on
Sunday
December 31, 1690
Friday the 13ths
2
2 Friday the 13ths this year.
Easter Sunday
March 26
Sunday, March 26, 1690
Decade
1690s
1690–1699
Century
17th century
1601–1700
Millennium
2nd millennium
1001–2000
Years ago
336
336 years before 2026.

In other calendars

Hebrew
5450 / 5451 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1101 / 1102 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Horse
Sexagenary cycle position 7 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2233 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1068 / 1069 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1682 / 1683 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1612 / 1611 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
11 bits
Reversed
961
Flips to (rotate 180°)
691
Recamán's sequence
a(948) = 1,690
Square (n²)
2,856,100
Cube (n³)
4,826,809,000
Divisor count
12
σ(n) — sum of divisors
3,294
φ(n) — Euler's totient
624
Sum of prime factors
33

Primality

Prime factorization: 2 × 5 × 13 2

Nearest primes: 1,669 (−21) · 1,693 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 5 · 10 · 13 · 26 · 65 · 130 · 169 · 338 · 845 (half) · 1690
Aliquot sum (sum of proper divisors): 1,604
Factor pairs (a × b = 1,690)
1 × 1690
2 × 845
5 × 338
10 × 169
13 × 130
26 × 65
First multiples
1,690 · 3,380 (double) · 5,070 · 6,760 · 8,450 · 10,140 · 11,830 · 13,520 · 15,210 · 16,900

Sums & aliquot sequence

As a sum of two squares: 3² + 41² = 13² + 39² = 27² + 31²
As consecutive integers: 421 + 422 + 423 + 424 336 + 337 + 338 + 339 + 340 124 + 125 + … + 136 75 + 76 + … + 94
Aliquot sequence: 1,690 1,604 1,210 1,184 1,210 — enters a cycle

Representations

In words
one thousand six hundred ninety
Ordinal
1690th
Roman numeral
MDCXC
Binary
11010011010
Octal
3232
Hexadecimal
0x69A
Base64
Bpo=
One's complement
63,845 (16-bit)
In other bases
ternary (3) 2022121
quaternary (4) 122122
quinary (5) 23230
senary (6) 11454
septenary (7) 4633
nonary (9) 2277
undecimal (11) 12a7
duodecimal (12) b8a
tridecimal (13) a00
tetradecimal (14) 88a
pentadecimal (15) 77a

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵αχϟʹ
Mayan (base 20)
𝋤·𝋤·𝋪
Chinese
一千六百九十
Chinese (financial)
壹仟陸佰玖拾
In other modern scripts
Eastern Arabic ١٦٩٠ Devanagari १६९० Bengali ১৬৯০ Tamil ௧௬௯௦ Thai ๑๖๙๐ Tibetan ༡༦༩༠ Khmer ១៦៩០ Lao ໑໖໙໐ Burmese ၁၆၉၀

Digit at this position in famous constants

π — Pi (π)
Digit 1,690 = 3
e — Euler's number (e)
Digit 1,690 = 1
φ — Golden ratio (φ)
Digit 1,690 = 8
√2 — Pythagoras's (√2)
Digit 1,690 = 9
ln 2 — Natural log of 2
Digit 1,690 = 0
γ — Euler-Mascheroni (γ)
Digit 1,690 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1690, here are decompositions:

  • 23 + 1667 = 1690
  • 53 + 1637 = 1690
  • 71 + 1619 = 1690
  • 83 + 1607 = 1690
  • 89 + 1601 = 1690
  • 107 + 1583 = 1690
  • 131 + 1559 = 1690
  • 137 + 1553 = 1690

Showing the first eight; more decompositions exist.

Unicode codepoint
ښ
Arabic Letter Seen With Dot Below And Dot Above
U+069A
Other letter (Lo)

UTF-8 encoding: DA 9A (2 bytes).

Hex color
#00069A
RGB(0, 6, 154)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.154.

Address
0.0.6.154
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.154

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

Position in π

The digit sequence 1690 first appears in π at position 3,409 of the decimal expansion (the 3,409ordinal-suffix:th 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.