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107,640

107,640 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 Evil Number Gapful Number Harshad / Niven Practical Number Weird Number

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
46,701
Square (n²)
11,586,369,600
Cube (n³)
1,247,156,823,744,000
Divisor count
96
σ(n) — sum of divisors
393,120
φ(n) — Euler's totient
25,344
Sum of prime factors
53

Primality

Prime factorization: 2 3 × 3 2 × 5 × 13 × 23

Nearest primes: 107,621 (−19) · 107,641 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 13 · 15 · 18 · 20 · 23 · 24 · 26 · 30 · 36 · 39 · 40 · 45 · 46 · 52 · 60 · 65 · 69 · 72 · 78 · 90 · 92 · 104 · 115 · 117 · 120 · 130 · 138 · 156 · 180 · 184 · 195 · 207 · 230 · 234 · 260 · 276 · 299 · 312 · 345 · 360 · 390 · 414 · 460 · 468 · 520 · 552 · 585 · 598 · 690 · 780 · 828 · 897 · 920 · 936 · 1035 · 1170 · 1196 · 1380 · 1495 · 1560 · 1656 · 1794 · 2070 · 2340 · 2392 · 2691 · 2760 · 2990 · 3588 · 4140 · 4485 · 4680 · 5382 · 5980 · 7176 · 8280 · 8970 · 10764 · 11960 · 13455 · 17940 · 21528 · 26910 · 35880 · 53820 (half) · 107640
Aliquot sum (sum of proper divisors): 285,480
Factor pairs (a × b = 107,640)
1 × 107640
2 × 53820
3 × 35880
4 × 26910
5 × 21528
6 × 17940
8 × 13455
9 × 11960
10 × 10764
12 × 8970
13 × 8280
15 × 7176
18 × 5980
20 × 5382
23 × 4680
24 × 4485
26 × 4140
30 × 3588
36 × 2990
39 × 2760
40 × 2691
45 × 2392
46 × 2340
52 × 2070
60 × 1794
65 × 1656
69 × 1560
72 × 1495
78 × 1380
90 × 1196
92 × 1170
104 × 1035
115 × 936
117 × 920
120 × 897
130 × 828
138 × 780
156 × 690
180 × 598
184 × 585
195 × 552
207 × 520
230 × 468
234 × 460
260 × 414
276 × 390
299 × 360
312 × 345
First multiples
107,640 · 215,280 (double) · 322,920 · 430,560 · 538,200 · 645,840 · 753,480 · 861,120 · 968,760 · 1,076,400

Sums & aliquot sequence

As consecutive integers: 35,879 + 35,880 + 35,881 21,526 + 21,527 + 21,528 + 21,529 + 21,530 11,956 + 11,957 + … + 11,964 8,274 + 8,275 + … + 8,286
Aliquot sequence: 107,640 285,480 730,080 2,036,880 5,462,640 13,629,888 25,439,376 40,279,136 39,020,476 36,740,804 28,157,260 34,489,940 46,736,212 35,052,166 17,526,086 9,657,898 5,108,438 — unresolved within range

Representations

In words
one hundred seven thousand six hundred forty
Ordinal
107640th
Binary
11010010001111000
Octal
322170
Hexadecimal
0x1A478
Base64
AaR4
One's complement
4,294,859,655 (32-bit)
In other bases
ternary (3) 12110122200
quaternary (4) 122101320
quinary (5) 11421030
senary (6) 2150200
septenary (7) 625551
nonary (9) 173580
undecimal (11) 73965
duodecimal (12) 52360
tridecimal (13) 39cc0
tetradecimal (14) 2b328
pentadecimal (15) 21d60

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρζχμʹ
Mayan (base 20)
𝋭·𝋩·𝋢·𝋠
Chinese
一十萬七千六百四十
Chinese (financial)
壹拾萬柒仟陸佰肆拾
In other modern scripts
Eastern Arabic ١٠٧٦٤٠ Devanagari १०७६४० Bengali ১০৭৬৪০ Tamil ௧௦௭௬௪௦ Thai ๑๐๗๖๔๐ Tibetan ༡༠༧༦༤༠ Khmer ១០៧៦៤០ Lao ໑໐໗໖໔໐ Burmese ၁၀၇၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107640, here are decompositions:

  • 19 + 107621 = 107640
  • 31 + 107609 = 107640
  • 37 + 107603 = 107640
  • 41 + 107599 = 107640
  • 59 + 107581 = 107640
  • 131 + 107509 = 107640
  • 167 + 107473 = 107640
  • 173 + 107467 = 107640

Showing the first eight; more decompositions exist.

Hex color
#01A478
RGB(1, 164, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.164.120.

Address
0.1.164.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.164.120

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 107,640 and was likely granted around 1870.

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

Position in π

The digit sequence 107640 first appears in π at position 140,321 of the decimal expansion (the 140,321ordinal-suffix:st 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.