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108,820

108,820 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 Cube-Free Gapful Number Happy Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
28,801
Recamán's sequence
a(80,499) = 108,820
Square (n²)
11,841,792,400
Cube (n³)
1,288,623,848,968,000
Divisor count
12
σ(n) — sum of divisors
228,564
φ(n) — Euler's totient
43,520
Sum of prime factors
5,450

Primality

Prime factorization: 2 2 × 5 × 5441

Nearest primes: 108,803 (−17) · 108,821 (+1)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 5441 · 10882 · 21764 · 27205 · 54410 (half) · 108820
Aliquot sum (sum of proper divisors): 119,744
Factor pairs (a × b = 108,820)
1 × 108820
2 × 54410
4 × 27205
5 × 21764
10 × 10882
20 × 5441
First multiples
108,820 · 217,640 (double) · 326,460 · 435,280 · 544,100 · 652,920 · 761,740 · 870,560 · 979,380 · 1,088,200

Sums & aliquot sequence

As a sum of two squares: 62² + 324² = 222² + 244²
As consecutive integers: 21,762 + 21,763 + 21,764 + 21,765 + 21,766 13,599 + 13,600 + … + 13,606 2,701 + 2,702 + … + 2,740
Aliquot sequence: 108,820 119,744 118,000 172,160 240,940 337,652 361,228 420,812 488,908 541,492 559,244 559,300 940,604 974,596 974,652 1,697,220 4,350,780 — unresolved within range

Continued fraction of √n

√108,820 = [329; (1, 7, 4, 40, 1, 130, 1, 40, 4, 7, 1, 658)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred eight thousand eight hundred twenty
Ordinal
108820th
Binary
11010100100010100
Octal
324424
Hexadecimal
0x1A914
Base64
AakU
One's complement
4,294,858,475 (32-bit)
Scientific notation
1.0882 × 10⁵
In other bases
ternary (3) 12112021101
quaternary (4) 122210110
quinary (5) 11440240
senary (6) 2155444
septenary (7) 632155
nonary (9) 175241
undecimal (11) 74838
duodecimal (12) 52b84
tridecimal (13) 3a6ba
tetradecimal (14) 2b92c
pentadecimal (15) 2239a

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρηωκʹ
Mayan (base 20)
𝋭·𝋬·𝋡·𝋠
Chinese
一十萬八千八百二十
Chinese (financial)
壹拾萬捌仟捌佰貳拾
In other modern scripts
Eastern Arabic ١٠٨٨٢٠ Devanagari १०८८२० Bengali ১০৮৮২০ Tamil ௧௦௮௮௨௦ Thai ๑๐๘๘๒๐ Tibetan ༡༠༨༨༢༠ Khmer ១០៨៨២០ Lao ໑໐໘໘໒໐ Burmese ၁၀၈၈၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108820, here are decompositions:

  • 17 + 108803 = 108820
  • 29 + 108791 = 108820
  • 59 + 108761 = 108820
  • 113 + 108707 = 108820
  • 233 + 108587 = 108820
  • 263 + 108557 = 108820
  • 317 + 108503 = 108820
  • 359 + 108461 = 108820

Showing the first eight; more decompositions exist.

Hex color
#01A914
RGB(1, 169, 20)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.169.20.

Address
0.1.169.20
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.169.20

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 108,820 and was likely granted around 1871.

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