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Number

1,089

1,089 is a composite number, odd, a calendar year.

Deficient Number Flippable Nonagonal Odious Number Perfect Square Pernicious Number Powerful Number Recamán's Sequence Year

Historical context — 1089 AD

Calendar year

Year 1089 (MLXXXIX) was a common year starting on Monday of the Julian calendar.

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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
Tuesday
January 1, 1089
Ended on
Tuesday
December 31, 1089
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1080s
1080–1089
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
937
937 years before 2026.

In other calendars

Hebrew
4849 / 4850 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
481 / 482 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Snake
Sexagenary cycle position 6 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1632 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
467 / 468 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1081 / 1082 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1011 / 1010 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
11 bits
Reversed
9,801
Flips to (rotate 180°)
6,801
Recamán's sequence
a(4,241) = 1,089
Square (n²)
1,185,921
Cube (n³)
1,291,467,969
Square root (√n)
33
Divisor count
9
σ(n) — sum of divisors
1,729
φ(n) — Euler's totient
660
Sum of prime factors
28

Primality

Prime factorization: 3 2 × 11 2

Nearest primes: 1,087 (−2) · 1,091 (+2)

Divisors & multiples

All divisors (9)
1 · 3 · 9 · 11 · 33 · 99 · 121 · 363 · 1089
Aliquot sum (sum of proper divisors): 640
Factor pairs (a × b = 1,089)
1 × 1089
3 × 363
9 × 121
11 × 99
33 × 33
First multiples
1,089 · 2,178 (double) · 3,267 · 4,356 · 5,445 · 6,534 · 7,623 · 8,712 · 9,801 · 10,890

Sums & aliquot sequence

As a sum of two squares: 0² + 33²
As consecutive integers: 544 + 545 362 + 363 + 364 179 + 180 + 181 + 182 + 183 + 184 117 + 118 + … + 125
Aliquot sequence: 1,089 640 890 730 602 454 230 202 104 106 56 64 63 41 1 0 — terminates at zero

Representations

In words
one thousand eighty-nine
Ordinal
1089th
Roman numeral
MLXXXIX
Binary
10001000001
Octal
2101
Hexadecimal
0x441
Base64
BEE=
One's complement
64,446 (16-bit)
In other bases
ternary (3) 1111100
quaternary (4) 101001
quinary (5) 13324
senary (6) 5013
septenary (7) 3114
nonary (9) 1440
undecimal (11) 900
duodecimal (12) 769
tridecimal (13) 65a
tetradecimal (14) 57b
pentadecimal (15) 4c9

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵απθʹ
Mayan (base 20)
𝋢·𝋮·𝋩
Chinese
一千零八十九
Chinese (financial)
壹仟零捌拾玖
In other modern scripts
Eastern Arabic ١٠٨٩ Devanagari १०८९ Bengali ১০৮৯ Tamil ௧௦௮௯ Thai ๑๐๘๙ Tibetan ༡༠༨༩ Khmer ១០៨៩ Lao ໑໐໘໙ Burmese ၁၀၈၉

Digit at this position in famous constants

π — Pi (π)
Digit 1,089 = 7
e — Euler's number (e)
Digit 1,089 = 9
φ — Golden ratio (φ)
Digit 1,089 = 0
√2 — Pythagoras's (√2)
Digit 1,089 = 0
ln 2 — Natural log of 2
Digit 1,089 = 4
γ — Euler-Mascheroni (γ)
Digit 1,089 = 8

Also seen as

Unicode codepoint
с
Cyrillic Small Letter Es
U+0441
Lowercase letter (Ll)

UTF-8 encoding: D1 81 (2 bytes).

Hex color
#000441
RGB(0, 4, 65)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.65.

Address
0.0.4.65
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.65

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

Position in π

The digit sequence 1089 first appears in π at position 2,534 of the decimal expansion (the 2,534ordinal-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.