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108,960

108,960 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 Flippable Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable Number Self Number Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
69,801
Flips to (rotate 180°)
96,801
Square (n²)
11,872,281,600
Cube (n³)
1,293,603,803,136,000
Divisor count
48
σ(n) — sum of divisors
344,736
φ(n) — Euler's totient
28,928
Sum of prime factors
245

Primality

Prime factorization: 2 5 × 3 × 5 × 227

Nearest primes: 108,959 (−1) · 108,961 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 48 · 60 · 80 · 96 · 120 · 160 · 227 · 240 · 454 · 480 · 681 · 908 · 1135 · 1362 · 1816 · 2270 · 2724 · 3405 · 3632 · 4540 · 5448 · 6810 · 7264 · 9080 · 10896 · 13620 · 18160 · 21792 · 27240 · 36320 · 54480 (half) · 108960
Aliquot sum (sum of proper divisors): 235,776
Factor pairs (a × b = 108,960)
1 × 108960
2 × 54480
3 × 36320
4 × 27240
5 × 21792
6 × 18160
8 × 13620
10 × 10896
12 × 9080
15 × 7264
16 × 6810
20 × 5448
24 × 4540
30 × 3632
32 × 3405
40 × 2724
48 × 2270
60 × 1816
80 × 1362
96 × 1135
120 × 908
160 × 681
227 × 480
240 × 454
First multiples
108,960 · 217,920 (double) · 326,880 · 435,840 · 544,800 · 653,760 · 762,720 · 871,680 · 980,640 · 1,089,600

Sums & aliquot sequence

As consecutive integers: 36,319 + 36,320 + 36,321 21,790 + 21,791 + 21,792 + 21,793 + 21,794 7,257 + 7,258 + … + 7,271 1,671 + 1,672 + … + 1,734
Aliquot sequence: 108,960 235,776 393,776 369,196 305,156 228,874 134,600 178,810 143,066 124,774 76,826 39,814 23,474 15,628 11,728 11,026 6,074 — unresolved within range

Continued fraction of √n

√108,960 = [330; (11, 660)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred eight thousand nine hundred sixty
Ordinal
108960th
Binary
11010100110100000
Octal
324640
Hexadecimal
0x1A9A0
Base64
Aamg
One's complement
4,294,858,335 (32-bit)
Scientific notation
1.0896 × 10⁵
In other bases
ternary (3) 12112110120
quaternary (4) 122212200
quinary (5) 11441320
senary (6) 2200240
septenary (7) 632445
nonary (9) 175416
undecimal (11) 74955
duodecimal (12) 53080
tridecimal (13) 3a797
tetradecimal (14) 2b9cc
pentadecimal (15) 22440

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρηϡξʹ
Mayan (base 20)
𝋭·𝋬·𝋨·𝋠
Chinese
一十萬八千九百六十
Chinese (financial)
壹拾萬捌仟玖佰陸拾
In other modern scripts
Eastern Arabic ١٠٨٩٦٠ Devanagari १०८९६० Bengali ১০৮৯৬০ Tamil ௧௦௮௯௬௦ Thai ๑๐๘๙๖๐ Tibetan ༡༠༨༩༦༠ Khmer ១០៨៩៦០ Lao ໑໐໘໙໖໐ Burmese ၁၀၈၉၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108960, here are decompositions:

  • 11 + 108949 = 108960
  • 13 + 108947 = 108960
  • 17 + 108943 = 108960
  • 31 + 108929 = 108960
  • 37 + 108923 = 108960
  • 43 + 108917 = 108960
  • 53 + 108907 = 108960
  • 67 + 108893 = 108960

Showing the first eight; more decompositions exist.

Hex color
#01A9A0
RGB(1, 169, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.169.160.

Address
0.1.169.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.169.160

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 108,960 and was likely granted around 1871.

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
000108960
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 108960 first appears in π at position 528,726 of the decimal expansion (the 528,726ordinal-suffix:th 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.