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108,740

108,740 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.).

108,740 (one hundred eight thousand seven hundred forty) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 5,437. Its proper divisors sum to 119,656, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A8C4.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Harshad / Niven Moran Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
47,801
Recamán's sequence
a(80,339) = 108,740
Square (n²)
11,824,387,600
Cube (n³)
1,285,783,907,624,000
Divisor count
12
σ(n) — sum of divisors
228,396
φ(n) — Euler's totient
43,488
Sum of prime factors
5,446

Primality

Prime factorization: 2 2 × 5 × 5437

Nearest primes: 108,739 (−1) · 108,751 (+11)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 5437 · 10874 · 21748 · 27185 · 54370 (half) · 108740
Aliquot sum (sum of proper divisors): 119,656
Factor pairs (a × b = 108,740)
1 × 108740
2 × 54370
4 × 27185
5 × 21748
10 × 10874
20 × 5437
First multiples
108,740 · 217,480 (double) · 326,220 · 434,960 · 543,700 · 652,440 · 761,180 · 869,920 · 978,660 · 1,087,400

Sums & aliquot sequence

As a sum of two squares: 34² + 328² = 224² + 242²
As consecutive integers: 21,746 + 21,747 + 21,748 + 21,749 + 21,750 13,589 + 13,590 + … + 13,596 2,699 + 2,700 + … + 2,738
Aliquot sequence: 108,740 → 119,656 → 104,714 → 56,314 → 30,554 → 15,280 → 20,432 → 19,186 → 10,298 → 6,022 → 3,014 → 1,954 → 980 → 1,414 → 1,034 → 694 → 350 — unresolved within range

Continued fraction of √n

√108,740 = [329; (1, 3, 8, 10, 5, 2, 3, 1, 10, 2, 2, 14, 1, 1, 2, 2, 2, 1, 18, 7, 2, 1, 4, 15, …)]

Representations

In words
one hundred eight thousand seven hundred forty
Ordinal
108740th
Binary
11010100011000100
Octal
324304
Hexadecimal
0x1A8C4
Base64
AajE
One's complement
4,294,858,555 (32-bit)
Scientific notation
1.0874 × 10⁵
As a duration
108,740 s = 1 day, 6 hours, 12 minutes, 20 seconds
In other bases
ternary (3) 12112011102
quaternary (4) 122203010
quinary (5) 11434430
senary (6) 2155232
septenary (7) 632012
nonary (9) 175142
undecimal (11) 74775
duodecimal (12) 52b18
tridecimal (13) 3a658
tetradecimal (14) 2b8b2
pentadecimal (15) 22345
Palindromic in base 14

As an angle

108,740° = 302 × 360° + 20°
20° ≈ 0.349 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρηψμʹ
Mayan (base 20)
𝋭·𝋫·𝋱·𝋠
Chinese
十萬八千七百四十
Chinese (financial)
壹拾萬捌仟柒佰肆拾
In other modern scripts
Eastern Arabic ١٠٨٧٤٠ Devanagari १०८७४० Bengali ১০৮৭৪০ Tamil ௧௦௮௭௪௦ Thai ๑๐๘๗๔๐ Tibetan ༡༠༨༧༤༠ Khmer ១០៨៧៤០ Lao ໑໐໘໗໔໐ Burmese ၁၀၈၇၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108740, here are decompositions:

  • 13 + 108727 = 108740
  • 31 + 108709 = 108740
  • 97 + 108643 = 108740
  • 103 + 108637 = 108740
  • 109 + 108631 = 108740
  • 199 + 108541 = 108740
  • 211 + 108529 = 108740
  • 223 + 108517 = 108740

Showing the first eight; more decompositions exist.

Hex color
#01A8C4
RGB(1, 168, 196)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.168.196.

Address
0.1.168.196
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.168.196

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 108,740 and was likely granted around 1871.

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

Position in π

The digit sequence 108740 first appears in π at position 198,331 of the decimal expansion (the 198,331ordinal-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.

Related reading

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