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108,840

108,840 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 Arithmetic Number Gapful Number Odious Number Pernicious Number Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
48,801
Square (n²)
11,846,145,600
Cube (n³)
1,289,334,487,104,000
Divisor count
32
σ(n) — sum of divisors
326,880
φ(n) — Euler's totient
28,992
Sum of prime factors
921

Primality

Prime factorization: 2 3 × 3 × 5 × 907

Nearest primes: 108,827 (−13) · 108,863 (+23)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 120 · 907 · 1814 · 2721 · 3628 · 4535 · 5442 · 7256 · 9070 · 10884 · 13605 · 18140 · 21768 · 27210 · 36280 · 54420 (half) · 108840
Aliquot sum (sum of proper divisors): 218,040
Factor pairs (a × b = 108,840)
1 × 108840
2 × 54420
3 × 36280
4 × 27210
5 × 21768
6 × 18140
8 × 13605
10 × 10884
12 × 9070
15 × 7256
20 × 5442
24 × 4535
30 × 3628
40 × 2721
60 × 1814
120 × 907
First multiples
108,840 · 217,680 (double) · 326,520 · 435,360 · 544,200 · 653,040 · 761,880 · 870,720 · 979,560 · 1,088,400

Sums & aliquot sequence

As consecutive integers: 36,279 + 36,280 + 36,281 21,766 + 21,767 + 21,768 + 21,769 + 21,770 7,249 + 7,250 + … + 7,263 6,795 + 6,796 + … + 6,810
Aliquot sequence: 108,840 218,040 473,160 946,680 2,509,320 5,707,320 11,572,680 29,899,320 67,957,320 135,915,000 360,051,240 766,172,760 1,532,345,880 3,418,315,080 7,422,897,720 18,027,040,200 — keeps growing

Continued fraction of √n

√108,840 = [329; (1, 9, 1, 658)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred eight thousand eight hundred forty
Ordinal
108840th
Binary
11010100100101000
Octal
324450
Hexadecimal
0x1A928
Base64
Aako
One's complement
4,294,858,455 (32-bit)
Scientific notation
1.0884 × 10⁵
In other bases
ternary (3) 12112022010
quaternary (4) 122210220
quinary (5) 11440330
senary (6) 2155520
septenary (7) 632214
nonary (9) 175263
undecimal (11) 74856
duodecimal (12) 52ba0
tridecimal (13) 3a704
tetradecimal (14) 2b944
pentadecimal (15) 223b0

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρηωμʹ
Mayan (base 20)
𝋭·𝋬·𝋢·𝋠
Chinese
一十萬八千八百四十
Chinese (financial)
壹拾萬捌仟捌佰肆拾
In other modern scripts
Eastern Arabic ١٠٨٨٤٠ Devanagari १०८८४० Bengali ১০৮৮৪০ Tamil ௧௦௮௮௪௦ Thai ๑๐๘๘๔๐ Tibetan ༡༠༨༨༤༠ Khmer ១០៨៨៤០ Lao ໑໐໘໘໔໐ Burmese ၁၀၈၈၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108840, here are decompositions:

  • 13 + 108827 = 108840
  • 19 + 108821 = 108840
  • 37 + 108803 = 108840
  • 41 + 108799 = 108840
  • 47 + 108793 = 108840
  • 71 + 108769 = 108840
  • 79 + 108761 = 108840
  • 89 + 108751 = 108840

Showing the first eight; more decompositions exist.

Hex color
#01A928
RGB(1, 169, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.169.40.

Address
0.1.169.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.169.40

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 108,840 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.