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Number

900

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

Abundant Number Evil Number Flippable Gapful Number Harshad / Niven Perfect Square Powerful Number Practical Number Recamán's Sequence Semiperfect Number Year

Notable events — 900 AD

  1. Undated The peak of the Maya Classic period collapse in Mesoamerica.

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

Historical context — 900 BC

Decade

The 900s BC is a decade that lasted from 909 BC to 900 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
Friday
January 1, 900
Ended on
Friday
December 31, 900
Friday the 13ths
1
One Friday the 13th this year.
Decade
900s
900–909
Century
9th century
801–900
Millennium
1st millennium
1–1000
Years ago
1,126
1126 years before 2026.

In other calendars

Hebrew
4660 / 4661 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
286 / 288 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Monkey
Sexagenary cycle position 57 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1443 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
278 / 279 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
892 / 893 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
822 / 821 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
10 bits
Reversed
9
Flips to (rotate 180°)
6
Recamán's sequence
a(407) = 900
Square (n²)
810,000
Cube (n³)
729,000,000
Square root (√n)
30
Divisor count
27
σ(n) — sum of divisors
2,821
φ(n) — Euler's totient
240
Sum of prime factors
20

Primality

Prime factorization: 2 2 × 3 2 × 5 2

Nearest primes: 887 (−13) · 907 (+7)

Divisors & multiples

All divisors (27)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 25 · 30 · 36 · 45 · 50 · 60 · 75 · 90 · 100 · 150 · 180 · 225 · 300 · 450 (half) · 900
Aliquot sum (sum of proper divisors): 1,921
Factor pairs (a × b = 900)
1 × 900
2 × 450
3 × 300
4 × 225
5 × 180
6 × 150
9 × 100
10 × 90
12 × 75
15 × 60
18 × 50
20 × 45
25 × 36
30 × 30
First multiples
900 · 1,800 (double) · 2,700 · 3,600 · 4,500 · 5,400 · 6,300 · 7,200 · 8,100 · 9,000

Sums & aliquot sequence

As a sum of two squares: 0² + 30² = 18² + 24²
As consecutive integers: 299 + 300 + 301 178 + 179 + 180 + 181 + 182 109 + 110 + … + 116 96 + 97 + … + 104
Aliquot sequence: 900 1,921 131 1 0 — terminates at zero

Representations

In words
nine hundred
Ordinal
900th
Roman numeral
CM
Binary
1110000100
Octal
1604
Hexadecimal
0x384
Base64
A4Q=
One's complement
64,635 (16-bit)
In other bases
ternary (3) 1020100
quaternary (4) 32010
quinary (5) 12100
senary (6) 4100
septenary (7) 2424
nonary (9) 1210
undecimal (11) 749
duodecimal (12) 630
tridecimal (13) 543
tetradecimal (14) 484
pentadecimal (15) 400

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
ϡʹ
Mayan (base 20)
𝋢·𝋥·𝋠
Chinese
九百
Chinese (financial)
玖佰
In other modern scripts
Eastern Arabic ٩٠٠ Devanagari ९०० Bengali ৯০০ Tamil ௯௦௦ Thai ๙๐๐ Tibetan ༩༠༠ Khmer ៩០០ Lao ໙໐໐ Burmese ၉၀၀

Digit at this position in famous constants

π — Pi (π)
Digit 900 = 0
e — Euler's number (e)
Digit 900 = 1
φ — Golden ratio (φ)
Digit 900 = 6
√2 — Pythagoras's (√2)
Digit 900 = 1
ln 2 — Natural log of 2
Digit 900 = 9
γ — Euler-Mascheroni (γ)
Digit 900 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 900, here are decompositions:

  • 13 + 887 = 900
  • 17 + 883 = 900
  • 19 + 881 = 900
  • 23 + 877 = 900
  • 37 + 863 = 900
  • 41 + 859 = 900
  • 43 + 857 = 900
  • 47 + 853 = 900

Showing the first eight; more decompositions exist.

Unicode codepoint
΄
Greek Tonos
U+0384
Modifier symbol (Sk)

UTF-8 encoding: CE 84 (2 bytes).

Hex color
#000384
RGB(0, 3, 132)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.132.

Address
0.0.3.132
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.3.132

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

NANP area code 900

The number 900 is an active NANP area code (North American Numbering Plan).

Primary area
Premium-rate (caller pays)
Region
(special)
Country
North America

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.