Number

1,090

1,090 is a composite number, even, a calendar year.

1,090 (one thousand ninety) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 5 × 109. Written other ways, in Roman numerals it is MXC and in binary, 10001000010.

Cube-Free Deficient Number Flippable Gapful Number Happy Number Harshad / Niven Moran Number Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree Year

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

1,078 1,079 1,080 1,081 1,082 1,083 1,084 1,085 1,086 1,087 1,088 1,089 1,090 1,091 1,092 1,093 1,094 1,095 1,096 1,097 1,098 1,099 1,100 1,101 1,102

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Historical context — 1090 AD

Calendar year

Year 1090 (MXC) was a common year starting on Tuesday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 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, 1090
Ended on: Wednesday
December 31, 1090
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 1090s
1090–1099
Century: 11th century
1001–1100
Millennium: 2nd millennium
1001–2000
Years ago: 936
936 years before 2026.

In other calendars

Hebrew: 4850 / 4851 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 482 / 483 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: 1633 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 468 / 469 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1082 / 1083 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1012 / 1011 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 11 bits
Reversed: 901
Flips to (rotate 180°): 601
Recamán's sequence: a(288) = 1,090
Square (n²): 1,188,100
Cube (n³): 1,295,029,000
Divisor count: 8
σ(n) — sum of divisors: 1,980
φ(n) — Euler's totient: 432
Sum of prime factors: 116

Primality

Prime factorization: 2 × 5 × 109

Nearest primes: 1,087 (−3) · 1,091 (+1)

Divisors & multiples

All divisors (8)

1 · 2 · 5 · 10 · 109 · 218 · 545 (half) · 1090

Aliquot sum (sum of proper divisors): 890

Factor pairs (a × b = 1,090)

1 × 1090

2 × 545

5 × 218

10 × 109

First multiples

1,090 · 2,180 (double) · 3,270 · 4,360 · 5,450 · 6,540 · 7,630 · 8,720 · 9,810 · 10,900

Sums & aliquot sequence

As a sum of two squares: 1² + 33² = 19² + 27²

As consecutive integers: 271 + 272 + 273 + 274 216 + 217 + 218 + 219 + 220 45 + 46 + … + 64

Aliquot sequence: 1,090 → 890 → 730 → 602 → 454 → 230 → 202 → 104 → 106 → 56 → 64 → 63 → 41 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,090 = [33; (66)]

Period length 1 — the block in parentheses repeats forever.

Representations

In words: one thousand ninety
Ordinal: 1090th
Roman numeral: MXC
Binary: 10001000010
Octal: 2102
Hexadecimal: 0x442
Base64: BEI=
One's complement: 64,445 (16-bit)
Scientific notation: 1.09 × 10³
As a duration: 1,090 s = 18 minutes, 10 seconds

In other bases

ternary (3) 1111101

quaternary (4) 101002

quinary (5) 13330

senary (6) 5014

septenary (7) 3115

nonary (9) 1441

undecimal (11) 901

duodecimal (12) 76a

tridecimal (13) 65b

tetradecimal (14) 57c

pentadecimal (15) 4ca

Palindromic in base 9

As an angle

1,090° = 3 × 360° + 10°

10° ≈ 0.175 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋
Egyptian hieroglyphic: 𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵αϟʹ
Mayan (base 20): 𝋢·𝋮·𝋪
Chinese: 一千零九十
Chinese (financial): 壹仟零玖拾

In other modern scripts

Eastern Arabic ١٠٩٠ Devanagari १०९० Bengali ১০৯০ Tamil ௧௦௯௦ Thai ๑๐๙๐ Tibetan ༡༠༩༠ Khmer ១០៩០ Lao ໑໐໙໐ Burmese ၁၀၉၀

Digit at this position in famous constants

π — Pi (π): Digit 1,090 = 5
e — Euler's number (e): Digit 1,090 = 7
φ — Golden ratio (φ): Digit 1,090 = 3
√2 — Pythagoras's (√2): Digit 1,090 = 5
ln 2 — Natural log of 2: Digit 1,090 = 6
γ — Euler-Mascheroni (γ): Digit 1,090 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1090, here are decompositions:

3 + 1087 = 1090
29 + 1061 = 1090
41 + 1049 = 1090
59 + 1031 = 1090
71 + 1019 = 1090
107 + 983 = 1090
113 + 977 = 1090
137 + 953 = 1090

Showing the first eight; more decompositions exist.

Unicode codepoint

Cyrillic Small Letter Te

U+0442

Lowercase letter (Ll)

UTF-8 encoding: D1 82 (2 bytes).

Lookup U+0442 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000442

RGB(0, 4, 66)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.66.

Address: 0.0.4.66
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.66

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

Musical pitch

Heard as a frequency, 1,090 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯6 (1108.7 Hz, -29¢)
Scientific pitch (C4 = 256 Hz): C♯6 (1084.9 Hz, +8¢)
Baroque pitch (A4 = 415 Hz): D6 (1107.9 Hz, -28¢)

Position in π

The digit sequence 1090 first appears in π at position 15,711 of the decimal expansion (the 15,711ordinal-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.

Look up 1090 on Pi Search ↗