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Number

990

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

Abundant Number Arithmetic Number Evil Number Flippable Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number Triangular Year

Historical context — 990 AD

Calendar year

Year 990 (CMXC) was a common year starting on Wednesday of the Julian calendar.

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Historical context — 990 BC

Decade

The 990s BC is a decade that lasted from 999 BC to 990 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, 990
Ended on
Friday
December 31, 990
Friday the 13ths
1
One Friday the 13th this year.
Decade
990s
990–999
Century
10th century
901–1000
Millennium
1st millennium
1–1000
Years ago
1,036
1036 years before 2026.

In other calendars

Hebrew
4750 / 4751 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
379 / 380 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
1533 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
368 / 369 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
982 / 983 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
912 / 911 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
10 bits
Reversed
99
Flips to (rotate 180°)
66
Recamán's sequence
a(4,439) = 990
Square (n²)
980,100
Cube (n³)
970,299,000
Divisor count
24
σ(n) — sum of divisors
2,808
φ(n) — Euler's totient
240
Sum of prime factors
24

Primality

Prime factorization: 2 × 3 2 × 5 × 11

Nearest primes: 983 (−7) · 991 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 5 · 6 · 9 · 10 · 11 · 15 · 18 · 22 · 30 · 33 · 45 · 55 · 66 · 90 · 99 · 110 · 165 · 198 · 330 · 495 (half) · 990
Aliquot sum (sum of proper divisors): 1,818
Factor pairs (a × b = 990)
1 × 990
2 × 495
3 × 330
5 × 198
6 × 165
9 × 110
10 × 99
11 × 90
15 × 66
18 × 55
22 × 45
30 × 33
First multiples
990 · 1,980 (double) · 2,970 · 3,960 · 4,950 · 5,940 · 6,930 · 7,920 · 8,910 · 9,900

Sums & aliquot sequence

As consecutive integers: 329 + 330 + 331 246 + 247 + 248 + 249 196 + 197 + 198 + 199 + 200 106 + 107 + … + 114
Aliquot sequence: 990 1,818 2,160 5,280 12,864 21,680 28,912 31,848 47,832 71,808 148,512 359,520 946,848 1,895,712 4,539,360 12,180,336 23,781,648 — unresolved within range

Representations

In words
nine hundred ninety
Ordinal
990th
Roman numeral
CMXC
Binary
1111011110
Octal
1736
Hexadecimal
0x3DE
Base64
A94=
One's complement
64,545 (16-bit)
In other bases
ternary (3) 1100200
quaternary (4) 33132
quinary (5) 12430
senary (6) 4330
septenary (7) 2613
nonary (9) 1320
undecimal (11) 820
duodecimal (12) 6a6
tridecimal (13) 5b2
tetradecimal (14) 50a
pentadecimal (15) 460

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
ϡϟʹ
Mayan (base 20)
𝋢·𝋩·𝋪
Chinese
九百九十
Chinese (financial)
玖佰玖拾
In other modern scripts
Eastern Arabic ٩٩٠ Devanagari ९९० Bengali ৯৯০ Tamil ௯௯௦ Thai ๙๙๐ Tibetan ༩༩༠ Khmer ៩៩០ Lao ໙໙໐ Burmese ၉၉၀

Digit at this position in famous constants

π — Pi (π)
Digit 990 = 0
e — Euler's number (e)
Digit 990 = 8
φ — Golden ratio (φ)
Digit 990 = 2
√2 — Pythagoras's (√2)
Digit 990 = 2
ln 2 — Natural log of 2
Digit 990 = 7
γ — Euler-Mascheroni (γ)
Digit 990 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 990, here are decompositions:

  • 7 + 983 = 990
  • 13 + 977 = 990
  • 19 + 971 = 990
  • 23 + 967 = 990
  • 37 + 953 = 990
  • 43 + 947 = 990
  • 53 + 937 = 990
  • 61 + 929 = 990

Showing the first eight; more decompositions exist.

Unicode codepoint
Ϟ
Greek Letter Koppa
U+03DE
Uppercase letter (Lu)

UTF-8 encoding: CF 9E (2 bytes).

Network port

TCP/UDP port 990 is the well-known port for FTPS — FTP over TLS — control channel.

Hex color
#0003DE
RGB(0, 3, 222)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.222.

Address
0.0.3.222
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.3.222

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000000990
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.