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107,240

107,240 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.).

107,240 (one hundred seven thousand two hundred forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 7 × 383. Its proper divisors sum to 169,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A2E8.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
42,701
Recamán's sequence
a(82,535) = 107,240
Square (n²)
11,500,417,600
Cube (n³)
1,233,304,783,424,000
Divisor count
32
σ(n) — sum of divisors
276,480
φ(n) — Euler's totient
36,672
Sum of prime factors
401

Primality

Prime factorization: 2 3 × 5 × 7 × 383

Nearest primes: 107,227 (−13) · 107,243 (+3)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 20 · 28 · 35 · 40 · 56 · 70 · 140 · 280 · 383 · 766 · 1532 · 1915 · 2681 · 3064 · 3830 · 5362 · 7660 · 10724 · 13405 · 15320 · 21448 · 26810 · 53620 (half) · 107240
Aliquot sum (sum of proper divisors): 169,240
Factor pairs (a × b = 107,240)
1 × 107240
2 × 53620
4 × 26810
5 × 21448
7 × 15320
8 × 13405
10 × 10724
14 × 7660
20 × 5362
28 × 3830
35 × 3064
40 × 2681
56 × 1915
70 × 1532
140 × 766
280 × 383
First multiples
107,240 · 214,480 (double) · 321,720 · 428,960 · 536,200 · 643,440 · 750,680 · 857,920 · 965,160 · 1,072,400

Sums & aliquot sequence

As consecutive integers: 21,446 + 21,447 + 21,448 + 21,449 + 21,450 15,317 + 15,318 + … + 15,323 6,695 + 6,696 + … + 6,710 3,047 + 3,048 + … + 3,081
Aliquot sequence: 107,240 → 169,240 → 211,640 → 362,920 → 476,600 → 631,960 → 1,064,360 → 1,657,240 → 2,359,640 → 2,949,640 → 3,869,840 → 5,981,092 → 5,291,064 → 9,380,736 → 19,260,864 → 47,782,944 → 100,462,608 — unresolved within range

Continued fraction of √n

√107,240 = [327; (2, 9, 1, 1, 2, 1, 3, 3, 1, 1, 1, 1, 5, 1, 2, 5, 16, 5, 2, 1, 5, 1, 1, 1, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred seven thousand two hundred forty
Ordinal
107240th
Binary
11010001011101000
Octal
321350
Hexadecimal
0x1A2E8
Base64
AaLo
One's complement
4,294,860,055 (32-bit)
Scientific notation
1.0724 × 10⁵
As a duration
107,240 s = 1 day, 5 hours, 47 minutes, 20 seconds
In other bases
ternary (3) 12110002212
quaternary (4) 122023220
quinary (5) 11412430
senary (6) 2144252
septenary (7) 624440
nonary (9) 173085
undecimal (11) 73631
duodecimal (12) 52088
tridecimal (13) 39a73
tetradecimal (14) 2b120
pentadecimal (15) 21b95

As an angle

107,240° = 297 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρζσμʹ
Mayan (base 20)
𝋭·𝋨·𝋢·𝋠
Chinese
十萬七千二百四十
Chinese (financial)
壹拾萬柒仟貳佰肆拾
In other modern scripts
Eastern Arabic ١٠٧٢٤٠ Devanagari १०७२४० Bengali ১০৭২৪০ Tamil ௧௦௭௨௪௦ Thai ๑๐๗๒๔๐ Tibetan ༡༠༧༢༤༠ Khmer ១០៧២៤០ Lao ໑໐໗໒໔໐ Burmese ၁၀၇၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107240, here are decompositions:

  • 13 + 107227 = 107240
  • 31 + 107209 = 107240
  • 43 + 107197 = 107240
  • 103 + 107137 = 107240
  • 139 + 107101 = 107240
  • 151 + 107089 = 107240
  • 163 + 107077 = 107240
  • 277 + 106963 = 107240

Showing the first eight; more decompositions exist.

Hex color
#01A2E8
RGB(1, 162, 232)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.232.

Address
0.1.162.232
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.162.232

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 107,240 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.