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107,520

107,520 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 Happy Number Harshad / Niven Practical Number Recamán's Sequence Self Number Weird Number

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
25,701
Recamán's sequence
a(46,295) = 107,520
Square (n²)
11,560,550,400
Cube (n³)
1,242,990,379,008,000
Divisor count
88
σ(n) — sum of divisors
393,024
φ(n) — Euler's totient
24,576
Sum of prime factors
35

Primality

Prime factorization: 2 10 × 3 × 5 × 7

Nearest primes: 107,509 (−11) · 107,563 (+43)

Divisors & multiples

All divisors (88)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 20 · 21 · 24 · 28 · 30 · 32 · 35 · 40 · 42 · 48 · 56 · 60 · 64 · 70 · 80 · 84 · 96 · 105 · 112 · 120 · 128 · 140 · 160 · 168 · 192 · 210 · 224 · 240 · 256 · 280 · 320 · 336 · 384 · 420 · 448 · 480 · 512 · 560 · 640 · 672 · 768 · 840 · 896 · 960 · 1024 · 1120 · 1280 · 1344 · 1536 · 1680 · 1792 · 1920 · 2240 · 2560 · 2688 · 3072 · 3360 · 3584 · 3840 · 4480 · 5120 · 5376 · 6720 · 7168 · 7680 · 8960 · 10752 · 13440 · 15360 · 17920 · 21504 · 26880 · 35840 · 53760 (half) · 107520
Aliquot sum (sum of proper divisors): 285,504
Factor pairs (a × b = 107,520)
1 × 107520
2 × 53760
3 × 35840
4 × 26880
5 × 21504
6 × 17920
7 × 15360
8 × 13440
10 × 10752
12 × 8960
14 × 7680
15 × 7168
16 × 6720
20 × 5376
21 × 5120
24 × 4480
28 × 3840
30 × 3584
32 × 3360
35 × 3072
40 × 2688
42 × 2560
48 × 2240
56 × 1920
60 × 1792
64 × 1680
70 × 1536
80 × 1344
84 × 1280
96 × 1120
105 × 1024
112 × 960
120 × 896
128 × 840
140 × 768
160 × 672
168 × 640
192 × 560
210 × 512
224 × 480
240 × 448
256 × 420
280 × 384
320 × 336
First multiples
107,520 · 215,040 (double) · 322,560 · 430,080 · 537,600 · 645,120 · 752,640 · 860,160 · 967,680 · 1,075,200

Sums & aliquot sequence

As consecutive integers: 35,839 + 35,840 + 35,841 21,502 + 21,503 + 21,504 + 21,505 + 21,506 15,357 + 15,358 + … + 15,363 7,161 + 7,162 + … + 7,175
Aliquot sequence: 107,520 285,504 470,400 1,331,940 2,458,140 4,563,588 6,084,812 4,628,548 3,820,732 2,865,556 2,149,174 1,264,274 804,574 508,706 368,254 216,674 111,214 — unresolved within range

Representations

In words
one hundred seven thousand five hundred twenty
Ordinal
107520th
Binary
11010010000000000
Octal
322000
Hexadecimal
0x1A400
Base64
AaQA
One's complement
4,294,859,775 (32-bit)
In other bases
ternary (3) 12110111020
quaternary (4) 122100000
quinary (5) 11420040
senary (6) 2145440
septenary (7) 625320
nonary (9) 173436
undecimal (11) 73866
duodecimal (12) 52280
tridecimal (13) 39c2a
tetradecimal (14) 2b280
pentadecimal (15) 21cd0

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρζφκʹ
Mayan (base 20)
𝋭·𝋨·𝋰·𝋠
Chinese
一十萬七千五百二十
Chinese (financial)
壹拾萬柒仟伍佰貳拾
In other modern scripts
Eastern Arabic ١٠٧٥٢٠ Devanagari १०७५२० Bengali ১০৭৫২০ Tamil ௧௦௭௫௨௦ Thai ๑๐๗๕๒๐ Tibetan ༡༠༧༥༢༠ Khmer ១០៧៥២០ Lao ໑໐໗໕໒໐ Burmese ၁၀၇၅၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107520, here are decompositions:

  • 11 + 107509 = 107520
  • 13 + 107507 = 107520
  • 47 + 107473 = 107520
  • 53 + 107467 = 107520
  • 67 + 107453 = 107520
  • 71 + 107449 = 107520
  • 79 + 107441 = 107520
  • 163 + 107357 = 107520

Showing the first eight; more decompositions exist.

Hex color
#01A400
RGB(1, 164, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.164.0.

Address
0.1.164.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.164.0

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 107,520 and was likely granted around 1870.

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