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107,824

107,824 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.).
Abundant Number Odious Number Pernicious Number Practical Number Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
428,701
Square (n²)
11,626,014,976
Cube (n³)
1,253,563,438,772,224
Divisor count
20
σ(n) — sum of divisors
218,736
φ(n) — Euler's totient
51,392
Sum of prime factors
324

Primality

Prime factorization: 2 4 × 23 × 293

Nearest primes: 107,791 (−33) · 107,827 (+3)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 23 · 46 · 92 · 184 · 293 · 368 · 586 · 1172 · 2344 · 4688 · 6739 · 13478 · 26956 · 53912 (half) · 107824
Aliquot sum (sum of proper divisors): 110,912
Factor pairs (a × b = 107,824)
1 × 107824
2 × 53912
4 × 26956
8 × 13478
16 × 6739
23 × 4688
46 × 2344
92 × 1172
184 × 586
293 × 368
First multiples
107,824 · 215,648 (double) · 323,472 · 431,296 · 539,120 · 646,944 · 754,768 · 862,592 · 970,416 · 1,078,240

Sums & aliquot sequence

As consecutive integers: 4,677 + 4,678 + … + 4,699 3,354 + 3,355 + … + 3,385 222 + 223 + … + 514
Aliquot sequence: 107,824 110,912 109,306 68,102 40,114 22,094 11,050 12,386 7,918 4,394 2,746 1,376 1,396 1,054 674 340 416 — unresolved within range

Representations

In words
one hundred seven thousand eight hundred twenty-four
Ordinal
107824th
Binary
11010010100110000
Octal
322460
Hexadecimal
0x1A530
Base64
AaUw
One's complement
4,294,859,471 (32-bit)
In other bases
ternary (3) 12110220111
quaternary (4) 122110300
quinary (5) 11422244
senary (6) 2151104
septenary (7) 626233
nonary (9) 173814
undecimal (11) 74012
duodecimal (12) 52494
tridecimal (13) 3a102
tetradecimal (14) 2b41a
pentadecimal (15) 21e34

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρζωκδʹ
Mayan (base 20)
𝋭·𝋩·𝋫·𝋤
Chinese
一十萬七千八百二十四
Chinese (financial)
壹拾萬柒仟捌佰貳拾肆
In other modern scripts
Eastern Arabic ١٠٧٨٢٤ Devanagari १०७८२४ Bengali ১০৭৮২৪ Tamil ௧௦௭௮௨௪ Thai ๑๐๗๘๒๔ Tibetan ༡༠༧༨༢༤ Khmer ១០៧៨២៤ Lao ໑໐໗໘໒໔ Burmese ၁၀၇၈၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107824, here are decompositions:

  • 47 + 107777 = 107824
  • 83 + 107741 = 107824
  • 107 + 107717 = 107824
  • 131 + 107693 = 107824
  • 137 + 107687 = 107824
  • 317 + 107507 = 107824
  • 383 + 107441 = 107824
  • 467 + 107357 = 107824

Showing the first eight; more decompositions exist.

Hex color
#01A530
RGB(1, 165, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.165.48.

Address
0.1.165.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.165.48

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 107,824 and was likely granted around 1870.

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