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19,800

19,800 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).
Abundant Number Flippable Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Properties

Parity
Even
Digit count
5
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
15 bits
Reversed
891
Flips to (rotate 180°)
861
Square (n²)
392,040,000
Cube (n³)
7,762,392,000,000
Divisor count
72
σ(n) — sum of divisors
72,540
φ(n) — Euler's totient
4,800
Sum of prime factors
33

Primality

Prime factorization: 2 3 × 3 2 × 5 2 × 11

Nearest primes: 19,793 (−7) · 19,801 (+1)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 11 · 12 · 15 · 18 · 20 · 22 · 24 · 25 · 30 · 33 · 36 · 40 · 44 · 45 · 50 · 55 · 60 · 66 · 72 · 75 · 88 · 90 · 99 · 100 · 110 · 120 · 132 · 150 · 165 · 180 · 198 · 200 · 220 · 225 · 264 · 275 · 300 · 330 · 360 · 396 · 440 · 450 · 495 · 550 · 600 · 660 · 792 · 825 · 900 · 990 · 1100 · 1320 · 1650 · 1800 · 1980 · 2200 · 2475 · 3300 · 3960 · 4950 · 6600 · 9900 (half) · 19800
Aliquot sum (sum of proper divisors): 52,740
Factor pairs (a × b = 19,800)
1 × 19800
2 × 9900
3 × 6600
4 × 4950
5 × 3960
6 × 3300
8 × 2475
9 × 2200
10 × 1980
11 × 1800
12 × 1650
15 × 1320
18 × 1100
20 × 990
22 × 900
24 × 825
25 × 792
30 × 660
33 × 600
36 × 550
40 × 495
44 × 450
45 × 440
50 × 396
55 × 360
60 × 330
66 × 300
72 × 275
75 × 264
88 × 225
90 × 220
99 × 200
100 × 198
110 × 180
120 × 165
132 × 150
First multiples
19,800 · 39,600 (double) · 59,400 · 79,200 · 99,000 · 118,800 · 138,600 · 158,400 · 178,200 · 198,000

Sums & aliquot sequence

As consecutive integers: 6,599 + 6,600 + 6,601 3,958 + 3,959 + 3,960 + 3,961 + 3,962 2,196 + 2,197 + … + 2,204 1,795 + 1,796 + … + 1,805
Aliquot sequence: 19,800 52,740 107,784 192,216 288,384 478,656 933,584 1,045,456 1,104,146 609,274 338,048 375,952 352,486 176,246 125,914 64,634 38,074 — unresolved within range

Representations

In words
nineteen thousand eight hundred
Ordinal
19800th
Binary
100110101011000
Octal
46530
Hexadecimal
0x4D58
Base64
TVg=
One's complement
45,735 (16-bit)
In other bases
ternary (3) 1000011100
quaternary (4) 10311120
quinary (5) 1113200
senary (6) 231400
septenary (7) 111504
nonary (9) 30140
undecimal (11) 13970
duodecimal (12) b560
tridecimal (13) 9021
tetradecimal (14) 7304
pentadecimal (15) 5d00

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ιθωʹ
Mayan (base 20)
𝋢·𝋩·𝋪·𝋠
Chinese
一萬九千八百
Chinese (financial)
壹萬玖仟捌佰
In other modern scripts
Eastern Arabic ١٩٨٠٠ Devanagari १९८०० Bengali ১৯৮০০ Tamil ௧௯௮௦௦ Thai ๑๙๘๐๐ Tibetan ༡༩༨༠༠ Khmer ១៩៨០០ Lao ໑໙໘໐໐ Burmese ၁၉၈၀၀

Digit at this position in famous constants

π — Pi (π)
Digit 19,800 = 3
e — Euler's number (e)
Digit 19,800 = 8
φ — Golden ratio (φ)
Digit 19,800 = 5
√2 — Pythagoras's (√2)
Digit 19,800 = 4
ln 2 — Natural log of 2
Digit 19,800 = 5
γ — Euler-Mascheroni (γ)
Digit 19,800 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 19800, here are decompositions:

  • 7 + 19793 = 19800
  • 23 + 19777 = 19800
  • 37 + 19763 = 19800
  • 41 + 19759 = 19800
  • 47 + 19753 = 19800
  • 61 + 19739 = 19800
  • 73 + 19727 = 19800
  • 83 + 19717 = 19800

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-4D58
U+4D58
Other letter (Lo)

UTF-8 encoding: E4 B5 98 (3 bytes).

Hex color
#004D58
RGB(0, 77, 88)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.77.88.

Address
0.0.77.88
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.77.88

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
000019800
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.

Position in π

The digit sequence 19800 first appears in π at position 6,633 of the decimal expansion (the 6,633ordinal-suffix:rd 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.