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107,136

107,136 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.).

107,136 (one hundred seven thousand one hundred thirty-six) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2⁷ × 3³ × 31. Its proper divisors sum to 219,264, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A280.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
631,701
Recamán's sequence
a(82,327) = 107,136
Square (n²)
11,478,122,496
Cube (n³)
1,229,720,131,731,456
Divisor count
64
σ(n) — sum of divisors
326,400
φ(n) — Euler's totient
34,560
Sum of prime factors
54

Primality

Prime factorization: 2 7 × 3 3 × 31

Nearest primes: 107,123 (−13) · 107,137 (+1)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 27 · 31 · 32 · 36 · 48 · 54 · 62 · 64 · 72 · 93 · 96 · 108 · 124 · 128 · 144 · 186 · 192 · 216 · 248 · 279 · 288 · 372 · 384 · 432 · 496 · 558 · 576 · 744 · 837 · 864 · 992 · 1116 · 1152 · 1488 · 1674 · 1728 · 1984 · 2232 · 2976 · 3348 · 3456 · 3968 · 4464 · 5952 · 6696 · 8928 · 11904 · 13392 · 17856 · 26784 · 35712 · 53568 (half) · 107136
Aliquot sum (sum of proper divisors): 219,264
Factor pairs (a × b = 107,136)
1 × 107136
2 × 53568
3 × 35712
4 × 26784
6 × 17856
8 × 13392
9 × 11904
12 × 8928
16 × 6696
18 × 5952
24 × 4464
27 × 3968
31 × 3456
32 × 3348
36 × 2976
48 × 2232
54 × 1984
62 × 1728
64 × 1674
72 × 1488
93 × 1152
96 × 1116
108 × 992
124 × 864
128 × 837
144 × 744
186 × 576
192 × 558
216 × 496
248 × 432
279 × 384
288 × 372
First multiples
107,136 · 214,272 (double) · 321,408 · 428,544 · 535,680 · 642,816 · 749,952 · 857,088 · 964,224 · 1,071,360

Sums & aliquot sequence

As a sum of two cubes: 28³ + 44³
As consecutive integers: 35,711 + 35,712 + 35,713 11,900 + 11,901 + … + 11,908 3,955 + 3,956 + … + 3,981 3,441 + 3,442 + … + 3,471
Aliquot sequence: 107,136 → 219,264 → 364,176 → 693,606 → 693,618 → 693,630 → 1,426,050 → 2,406,480 → 5,283,504 → 9,503,372 → 7,127,536 → 7,744,776 → 13,396,344 → 22,671,576 → 42,015,024 → 86,809,320 → 229,942,080 — unresolved within range

Continued fraction of √n

√107,136 = [327; (3, 6, 4, 1, 2, 4, 5, 3, 1, 2, 6, 1, 3, 17, 1, 12, 2, 2, 2, 2, 1, 40, 4, 1, …)]

Representations

In words
one hundred seven thousand one hundred thirty-six
Ordinal
107136th
Binary
11010001010000000
Octal
321200
Hexadecimal
0x1A280
Base64
AaKA
One's complement
4,294,860,159 (32-bit)
Scientific notation
1.07136 × 10⁵
As a duration
107,136 s = 1 day, 5 hours, 45 minutes, 36 seconds
In other bases
ternary (3) 12102222000
quaternary (4) 122022000
quinary (5) 11412021
senary (6) 2144000
septenary (7) 624231
nonary (9) 172860
undecimal (11) 73547
duodecimal (12) 52000
tridecimal (13) 399c3
tetradecimal (14) 2b088
pentadecimal (15) 21b26

As an angle

107,136° = 297 × 360° + 216°
216° ≈ 3.77 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρζρλϛʹ
Mayan (base 20)
𝋭·𝋧·𝋰·𝋰
Chinese
十萬七千一百三十六
Chinese (financial)
壹拾萬柒仟壹佰參拾陸
In other modern scripts
Eastern Arabic ١٠٧١٣٦ Devanagari १०७१३६ Bengali ১০৭১৩৬ Tamil ௧௦௭௧௩௬ Thai ๑๐๗๑๓๖ Tibetan ༡༠༧༡༣༦ Khmer ១០៧១៣៦ Lao ໑໐໗໑໓໖ Burmese ၁၀၇၁၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107136, here are decompositions:

  • 13 + 107123 = 107136
  • 17 + 107119 = 107136
  • 37 + 107099 = 107136
  • 47 + 107089 = 107136
  • 59 + 107077 = 107136
  • 67 + 107069 = 107136
  • 79 + 107057 = 107136
  • 83 + 107053 = 107136

Showing the first eight; more decompositions exist.

Hex color
#01A280
RGB(1, 162, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.128.

Address
0.1.162.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.162.128

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 107,136 and was likely granted around 1870.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.