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107,960

107,960 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.).

107,960 (one hundred seven thousand nine hundred sixty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 2,699. Its proper divisors sum to 135,040, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A5B8.

Abundant Number Gapful Number Happy Number Odious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
69,701
Recamán's sequence
a(46,771) = 107,960
Square (n²)
11,655,361,600
Cube (n³)
1,258,312,838,336,000
Divisor count
16
σ(n) — sum of divisors
243,000
φ(n) — Euler's totient
43,168
Sum of prime factors
2,710

Primality

Prime factorization: 2 3 × 5 × 2699

Nearest primes: 107,951 (−9) · 107,971 (+11)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 2699 · 5398 · 10796 · 13495 · 21592 · 26990 · 53980 (half) · 107960
Aliquot sum (sum of proper divisors): 135,040
Factor pairs (a × b = 107,960)
1 × 107960
2 × 53980
4 × 26990
5 × 21592
8 × 13495
10 × 10796
20 × 5398
40 × 2699
First multiples
107,960 · 215,920 (double) · 323,880 · 431,840 · 539,800 · 647,760 · 755,720 · 863,680 · 971,640 · 1,079,600

Sums & aliquot sequence

As consecutive integers: 21,590 + 21,591 + 21,592 + 21,593 + 21,594 6,740 + 6,741 + … + 6,755 1,310 + 1,311 + … + 1,389
Aliquot sequence: 107,960 → 135,040 → 189,320 → 236,740 → 368,060 → 599,620 → 839,804 → 863,716 → 885,724 → 917,756 → 947,044 → 968,156 → 999,460 → 1,681,820 → 2,467,108 → 2,903,516 → 3,486,868 — unresolved within range

Continued fraction of √n

√107,960 = [328; (1, 1, 2, 1, 15, 1, 2, 1, 1, 656)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred seven thousand nine hundred sixty
Ordinal
107960th
Binary
11010010110111000
Octal
322670
Hexadecimal
0x1A5B8
Base64
AaW4
One's complement
4,294,859,335 (32-bit)
Scientific notation
1.0796 × 10⁵
As a duration
107,960 s = 1 day, 5 hours, 59 minutes, 20 seconds
In other bases
ternary (3) 12111002112
quaternary (4) 122112320
quinary (5) 11423320
senary (6) 2151452
septenary (7) 626516
nonary (9) 174075
undecimal (11) 74126
duodecimal (12) 52588
tridecimal (13) 3a1a8
tetradecimal (14) 2b4b6
pentadecimal (15) 21ec5

As an angle

107,960° = 299 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρζϡξʹ
Mayan (base 20)
𝋭·𝋩·𝋲·𝋠
Chinese
十萬七千九百六十
Chinese (financial)
壹拾萬柒仟玖佰陸拾
In other modern scripts
Eastern Arabic ١٠٧٩٦٠ Devanagari १०७९६० Bengali ১০৭৯৬০ Tamil ௧௦௭௯௬௦ Thai ๑๐๗๙๖๐ Tibetan ༡༠༧༩༦༠ Khmer ១០៧៩៦០ Lao ໑໐໗໙໖໐ Burmese ၁၀၇၉၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107960, here are decompositions:

  • 19 + 107941 = 107960
  • 37 + 107923 = 107960
  • 79 + 107881 = 107960
  • 103 + 107857 = 107960
  • 199 + 107761 = 107960
  • 241 + 107719 = 107960
  • 313 + 107647 = 107960
  • 379 + 107581 = 107960

Showing the first eight; more decompositions exist.

Hex color
#01A5B8
RGB(1, 165, 184)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.165.184.

Address
0.1.165.184
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.165.184

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 107,960 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.