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109,008

109,008 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 Harshad / Niven Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
800,901
Flips to (rotate 180°)
800,601
Square (n²)
11,882,744,064
Cube (n³)
1,295,314,164,928,512
Divisor count
30
σ(n) — sum of divisors
305,474
φ(n) — Euler's totient
36,288
Sum of prime factors
771

Primality

Prime factorization: 2 4 × 3 2 × 757

Nearest primes: 109,001 (−7) · 109,013 (+5)

Divisors & multiples

All divisors (30)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 36 · 48 · 72 · 144 · 757 · 1514 · 2271 · 3028 · 4542 · 6056 · 6813 · 9084 · 12112 · 13626 · 18168 · 27252 · 36336 · 54504 (half) · 109008
Aliquot sum (sum of proper divisors): 196,466
Factor pairs (a × b = 109,008)
1 × 109008
2 × 54504
3 × 36336
4 × 27252
6 × 18168
8 × 13626
9 × 12112
12 × 9084
16 × 6813
18 × 6056
24 × 4542
36 × 3028
48 × 2271
72 × 1514
144 × 757
First multiples
109,008 · 218,016 (double) · 327,024 · 436,032 · 545,040 · 654,048 · 763,056 · 872,064 · 981,072 · 1,090,080

Sums & aliquot sequence

As a sum of two squares: 108² + 312²
As consecutive integers: 36,335 + 36,336 + 36,337 12,108 + 12,109 + … + 12,116 3,391 + 3,392 + … + 3,422 1,088 + 1,089 + … + 1,183
Aliquot sequence: 109,008 196,466 111,118 79,394 60,574 33,314 16,660 26,432 34,528 39,560 55,480 77,720 105,880 132,440 247,720 361,400 550,000 — unresolved within range

Continued fraction of √n

√109,008 = [330; (6, 8, 1, 7, 3, 1, 4, 1, 3, 1, 3, 1, 3, 1, 4, 1, 3, 7, 1, 8, 6, 660)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred nine thousand eight
Ordinal
109008th
Binary
11010100111010000
Octal
324720
Hexadecimal
0x1A9D0
Base64
AanQ
One's complement
4,294,858,287 (32-bit)
Scientific notation
1.09008 × 10⁵
In other bases
ternary (3) 12112112100
quaternary (4) 122213100
quinary (5) 11442013
senary (6) 2200400
septenary (7) 632544
nonary (9) 175470
undecimal (11) 74999
duodecimal (12) 53100
tridecimal (13) 3a803
tetradecimal (14) 2ba24
pentadecimal (15) 22473

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρθηʹ
Mayan (base 20)
𝋭·𝋬·𝋪·𝋨
Chinese
一十萬九千零八
Chinese (financial)
壹拾萬玖仟零捌
In other modern scripts
Eastern Arabic ١٠٩٠٠٨ Devanagari १०९००८ Bengali ১০৯০০৮ Tamil ௧௦௯௦௦௮ Thai ๑๐๙๐๐๘ Tibetan ༡༠༩༠༠༨ Khmer ១០៩០០៨ Lao ໑໐໙໐໐໘ Burmese ၁၀၉၀၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 109008, here are decompositions:

  • 7 + 109001 = 109008
  • 17 + 108991 = 109008
  • 37 + 108971 = 109008
  • 41 + 108967 = 109008
  • 47 + 108961 = 109008
  • 59 + 108949 = 109008
  • 61 + 108947 = 109008
  • 79 + 108929 = 109008

Showing the first eight; more decompositions exist.

Hex color
#01A9D0
RGB(1, 169, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.169.208.

Address
0.1.169.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.169.208

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 109,008 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
000109008
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 109008 first appears in π at position 63,083 of the decimal expansion (the 63,083ordinal-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.