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108,180

108,180 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 Evil Number Flippable Gapful Number Happy Number Harshad / Niven Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
81,801
Flips to (rotate 180°)
81,801
Recamán's sequence
a(251,072) = 108,180
Square (n²)
11,702,912,400
Cube (n³)
1,266,021,063,432,000
Divisor count
36
σ(n) — sum of divisors
328,692
φ(n) — Euler's totient
28,800
Sum of prime factors
616

Primality

Prime factorization: 2 2 × 3 2 × 5 × 601

Nearest primes: 108,179 (−1) · 108,187 (+7)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 30 · 36 · 45 · 60 · 90 · 180 · 601 · 1202 · 1803 · 2404 · 3005 · 3606 · 5409 · 6010 · 7212 · 9015 · 10818 · 12020 · 18030 · 21636 · 27045 · 36060 · 54090 (half) · 108180
Aliquot sum (sum of proper divisors): 220,512
Factor pairs (a × b = 108,180)
1 × 108180
2 × 54090
3 × 36060
4 × 27045
5 × 21636
6 × 18030
9 × 12020
10 × 10818
12 × 9015
15 × 7212
18 × 6010
20 × 5409
30 × 3606
36 × 3005
45 × 2404
60 × 1803
90 × 1202
180 × 601
First multiples
108,180 · 216,360 (double) · 324,540 · 432,720 · 540,900 · 649,080 · 757,260 · 865,440 · 973,620 · 1,081,800

Sums & aliquot sequence

As a sum of two squares: 84² + 318² = 204² + 258²
As consecutive integers: 36,059 + 36,060 + 36,061 21,634 + 21,635 + 21,636 + 21,637 + 21,638 13,519 + 13,520 + … + 13,526 12,016 + 12,017 + … + 12,024
Aliquot sequence: 108,180 220,512 358,584 555,336 1,001,934 1,168,962 1,168,974 1,392,858 1,647,270 2,746,170 5,628,870 11,118,042 14,824,602 19,766,682 29,078,478 46,859,202 65,284,158 — unresolved within range

Representations

In words
one hundred eight thousand one hundred eighty
Ordinal
108180th
Binary
11010011010010100
Octal
323224
Hexadecimal
0x1A694
Base64
AaaU
One's complement
4,294,859,115 (32-bit)
In other bases
ternary (3) 12111101200
quaternary (4) 122122110
quinary (5) 11430210
senary (6) 2152500
septenary (7) 630252
nonary (9) 174350
undecimal (11) 74306
duodecimal (12) 52730
tridecimal (13) 3a317
tetradecimal (14) 2b5d2
pentadecimal (15) 220c0

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρηρπʹ
Mayan (base 20)
𝋭·𝋪·𝋩·𝋠
Chinese
一十萬八千一百八十
Chinese (financial)
壹拾萬捌仟壹佰捌拾
In other modern scripts
Eastern Arabic ١٠٨١٨٠ Devanagari १०८१८० Bengali ১০৮১৮০ Tamil ௧௦௮௧௮௦ Thai ๑๐๘๑๘๐ Tibetan ༡༠༨༡༨༠ Khmer ១០៨១៨០ Lao ໑໐໘໑໘໐ Burmese ၁၀၈၁၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108180, here are decompositions:

  • 19 + 108161 = 108180
  • 41 + 108139 = 108180
  • 53 + 108127 = 108180
  • 71 + 108109 = 108180
  • 73 + 108107 = 108180
  • 101 + 108079 = 108180
  • 139 + 108041 = 108180
  • 157 + 108023 = 108180

Showing the first eight; more decompositions exist.

Hex color
#01A694
RGB(1, 166, 148)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.166.148.

Address
0.1.166.148
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.166.148

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 108,180 and was likely granted around 1870.

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

Possible US bank routing number

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

Routing number
000108180
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 108180 first appears in π at position 98,093 of the decimal expansion (the 98,093ordinal-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.