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108,720

108,720 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 Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
27,801
Recamán's sequence
a(80,299) = 108,720
Square (n²)
11,820,038,400
Cube (n³)
1,285,074,574,848,000
Divisor count
60
σ(n) — sum of divisors
367,536
φ(n) — Euler's totient
28,800
Sum of prime factors
170

Primality

Prime factorization: 2 4 × 3 2 × 5 × 151

Nearest primes: 108,709 (−11) · 108,727 (+7)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 30 · 36 · 40 · 45 · 48 · 60 · 72 · 80 · 90 · 120 · 144 · 151 · 180 · 240 · 302 · 360 · 453 · 604 · 720 · 755 · 906 · 1208 · 1359 · 1510 · 1812 · 2265 · 2416 · 2718 · 3020 · 3624 · 4530 · 5436 · 6040 · 6795 · 7248 · 9060 · 10872 · 12080 · 13590 · 18120 · 21744 · 27180 · 36240 · 54360 (half) · 108720
Aliquot sum (sum of proper divisors): 258,816
Factor pairs (a × b = 108,720)
1 × 108720
2 × 54360
3 × 36240
4 × 27180
5 × 21744
6 × 18120
8 × 13590
9 × 12080
10 × 10872
12 × 9060
15 × 7248
16 × 6795
18 × 6040
20 × 5436
24 × 4530
30 × 3624
36 × 3020
40 × 2718
45 × 2416
48 × 2265
60 × 1812
72 × 1510
80 × 1359
90 × 1208
120 × 906
144 × 755
151 × 720
180 × 604
240 × 453
302 × 360
First multiples
108,720 · 217,440 (double) · 326,160 · 434,880 · 543,600 · 652,320 · 761,040 · 869,760 · 978,480 · 1,087,200

Sums & aliquot sequence

As consecutive integers: 36,239 + 36,240 + 36,241 21,742 + 21,743 + 21,744 + 21,745 + 21,746 12,076 + 12,077 + … + 12,084 7,241 + 7,242 + … + 7,255
Aliquot sequence: 108,720 258,816 432,056 394,144 395,876 384,988 295,692 412,260 742,236 1,147,428 1,753,106 997,516 882,516 1,191,948 1,630,452 2,222,124 2,962,860 — unresolved within range

Continued fraction of √n

√108,720 = [329; (1, 2, 1, 1, 1, 72, 1, 1, 1, 2, 1, 658)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred eight thousand seven hundred twenty
Ordinal
108720th
Binary
11010100010110000
Octal
324260
Hexadecimal
0x1A8B0
Base64
Aaiw
One's complement
4,294,858,575 (32-bit)
Scientific notation
1.0872 × 10⁵
In other bases
ternary (3) 12112010200
quaternary (4) 122202300
quinary (5) 11434340
senary (6) 2155200
septenary (7) 631653
nonary (9) 175120
undecimal (11) 74757
duodecimal (12) 52b00
tridecimal (13) 3a641
tetradecimal (14) 2b89a
pentadecimal (15) 22330

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρηψκʹ
Mayan (base 20)
𝋭·𝋫·𝋰·𝋠
Chinese
一十萬八千七百二十
Chinese (financial)
壹拾萬捌仟柒佰貳拾
In other modern scripts
Eastern Arabic ١٠٨٧٢٠ Devanagari १०८७२० Bengali ১০৮৭২০ Tamil ௧௦௮௭௨௦ Thai ๑๐๘๗๒๐ Tibetan ༡༠༨༧༢༠ Khmer ១០៨៧២០ Lao ໑໐໘໗໒໐ Burmese ၁၀၈၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108720, here are decompositions:

  • 11 + 108709 = 108720
  • 13 + 108707 = 108720
  • 43 + 108677 = 108720
  • 71 + 108649 = 108720
  • 83 + 108637 = 108720
  • 89 + 108631 = 108720
  • 149 + 108571 = 108720
  • 163 + 108557 = 108720

Showing the first eight; more decompositions exist.

Hex color
#01A8B0
RGB(1, 168, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.168.176.

Address
0.1.168.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.168.176

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 108,720 and was likely granted around 1871.

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

Position in π

The digit sequence 108720 first appears in π at position 930,018 of the decimal expansion (the 930,018ordinal-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.