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107,080

107,080 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.).

107,080 (one hundred seven thousand eighty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 2,677. Its proper divisors sum to 133,940, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A248.

Abundant Number Evil Number Gapful Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
80,701
Recamán's sequence
a(82,215) = 107,080
Square (n²)
11,466,126,400
Cube (n³)
1,227,792,814,912,000
Divisor count
16
σ(n) — sum of divisors
241,020
φ(n) — Euler's totient
42,816
Sum of prime factors
2,688

Primality

Prime factorization: 2 3 × 5 × 2677

Nearest primes: 107,077 (−3) · 107,089 (+9)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 2677 · 5354 · 10708 · 13385 · 21416 · 26770 · 53540 (half) · 107080
Aliquot sum (sum of proper divisors): 133,940
Factor pairs (a × b = 107,080)
1 × 107080
2 × 53540
4 × 26770
5 × 21416
8 × 13385
10 × 10708
20 × 5354
40 × 2677
First multiples
107,080 · 214,160 (double) · 321,240 · 428,320 · 535,400 · 642,480 · 749,560 · 856,640 · 963,720 · 1,070,800

Sums & aliquot sequence

As a sum of two squares: 126² + 302² = 166² + 282²
As consecutive integers: 21,414 + 21,415 + 21,416 + 21,417 + 21,418 6,685 + 6,686 + … + 6,700 1,299 + 1,300 + … + 1,378
Aliquot sequence: 107,080 → 133,940 → 156,532 → 117,406 → 62,594 → 51,454 → 31,706 → 16,678 → 9,242 → 4,624 → 4,893 → 2,595 → 1,581 → 723 → 245 → 97 → 1 — unresolved within range

Continued fraction of √n

√107,080 = [327; (4, 3, 163, 3, 4, 654)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred seven thousand eighty
Ordinal
107080th
Binary
11010001001001000
Octal
321110
Hexadecimal
0x1A248
Base64
AaJI
One's complement
4,294,860,215 (32-bit)
Scientific notation
1.0708 × 10⁵
As a duration
107,080 s = 1 day, 5 hours, 44 minutes, 40 seconds
In other bases
ternary (3) 12102212221
quaternary (4) 122021020
quinary (5) 11411310
senary (6) 2143424
septenary (7) 624121
nonary (9) 172787
undecimal (11) 734a6
duodecimal (12) 51b74
tridecimal (13) 3997c
tetradecimal (14) 2b048
pentadecimal (15) 21ada

As an angle

107,080° = 297 × 360° + 160°
160° ≈ 2.793 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρζπʹ
Mayan (base 20)
𝋭·𝋧·𝋮·𝋠
Chinese
十萬七千零八十
Chinese (financial)
壹拾萬柒仟零捌拾
In other modern scripts
Eastern Arabic ١٠٧٠٨٠ Devanagari १०७०८० Bengali ১০৭০৮০ Tamil ௧௦௭௦௮௦ Thai ๑๐๗๐๘๐ Tibetan ༡༠༧༠༨༠ Khmer ១០៧០៨០ Lao ໑໐໗໐໘໐ Burmese ၁၀၇၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107080, here are decompositions:

  • 3 + 107077 = 107080
  • 11 + 107069 = 107080
  • 23 + 107057 = 107080
  • 47 + 107033 = 107080
  • 59 + 107021 = 107080
  • 101 + 106979 = 107080
  • 131 + 106949 = 107080
  • 173 + 106907 = 107080

Showing the first eight; more decompositions exist.

Hex color
#01A248
RGB(1, 162, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.72.

Address
0.1.162.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.162.72

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 107,080 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