number.wiki
Live analysis

108,480

108,480 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 Gapful Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
84,801
Recamán's sequence
a(79,819) = 108,480
Square (n²)
11,767,910,400
Cube (n³)
1,276,582,920,192,000
Divisor count
56
σ(n) — sum of divisors
347,472
φ(n) — Euler's totient
28,672
Sum of prime factors
133

Primality

Prime factorization: 2 6 × 3 × 5 × 113

Nearest primes: 108,463 (−17) · 108,497 (+17)

Divisors & multiples

All divisors (56)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 48 · 60 · 64 · 80 · 96 · 113 · 120 · 160 · 192 · 226 · 240 · 320 · 339 · 452 · 480 · 565 · 678 · 904 · 960 · 1130 · 1356 · 1695 · 1808 · 2260 · 2712 · 3390 · 3616 · 4520 · 5424 · 6780 · 7232 · 9040 · 10848 · 13560 · 18080 · 21696 · 27120 · 36160 · 54240 (half) · 108480
Aliquot sum (sum of proper divisors): 238,992
Factor pairs (a × b = 108,480)
1 × 108480
2 × 54240
3 × 36160
4 × 27120
5 × 21696
6 × 18080
8 × 13560
10 × 10848
12 × 9040
15 × 7232
16 × 6780
20 × 5424
24 × 4520
30 × 3616
32 × 3390
40 × 2712
48 × 2260
60 × 1808
64 × 1695
80 × 1356
96 × 1130
113 × 960
120 × 904
160 × 678
192 × 565
226 × 480
240 × 452
320 × 339
First multiples
108,480 · 216,960 (double) · 325,440 · 433,920 · 542,400 · 650,880 · 759,360 · 867,840 · 976,320 · 1,084,800

Sums & aliquot sequence

As consecutive integers: 36,159 + 36,160 + 36,161 21,694 + 21,695 + 21,696 + 21,697 + 21,698 7,225 + 7,226 + … + 7,239 904 + 905 + … + 1,016
Aliquot sequence: 108,480 238,992 427,632 703,248 1,671,600 4,478,800 6,282,478 3,141,242 1,933,114 966,560 1,646,176 2,058,224 3,084,304 3,031,872 4,990,464 10,600,056 20,344,104 — unresolved within range

Continued fraction of √n

√108,480 = [329; (2, 1, 3, 13, 5, 1, 6, 10, 6, 1, 5, 13, 3, 1, 2, 658)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred eight thousand four hundred eighty
Ordinal
108480th
Binary
11010011111000000
Octal
323700
Hexadecimal
0x1A7C0
Base64
AafA
One's complement
4,294,858,815 (32-bit)
Scientific notation
1.0848 × 10⁵
In other bases
ternary (3) 12111210210
quaternary (4) 122133000
quinary (5) 11432410
senary (6) 2154120
septenary (7) 631161
nonary (9) 174723
undecimal (11) 74559
duodecimal (12) 52940
tridecimal (13) 3a4b8
tetradecimal (14) 2b768
pentadecimal (15) 22220

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρηυπʹ
Mayan (base 20)
𝋭·𝋫·𝋤·𝋠
Chinese
一十萬八千四百八十
Chinese (financial)
壹拾萬捌仟肆佰捌拾
In other modern scripts
Eastern Arabic ١٠٨٤٨٠ Devanagari १०८४८० Bengali ১০৮৪৮০ Tamil ௧௦௮௪௮௦ Thai ๑๐๘๔๘๐ Tibetan ༡༠༨༤༨༠ Khmer ១០៨៤៨០ Lao ໑໐໘໔໘໐ Burmese ၁၀၈၄၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108480, here are decompositions:

  • 17 + 108463 = 108480
  • 19 + 108461 = 108480
  • 23 + 108457 = 108480
  • 41 + 108439 = 108480
  • 59 + 108421 = 108480
  • 67 + 108413 = 108480
  • 79 + 108401 = 108480
  • 101 + 108379 = 108480

Showing the first eight; more decompositions exist.

Hex color
#01A7C0
RGB(1, 167, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.167.192.

Address
0.1.167.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.167.192

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 108,480 and was likely granted around 1870.

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