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139,824

139,824 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.).

139,824 (one hundred thirty-nine thousand eight hundred twenty-four) is an even 6-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 3² × 971. Its proper divisors sum to 251,892, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x22230.

Abundant Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
1,728
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
428,931
Recamán's sequence
a(489,179) = 139,824
Square (n²)
19,550,750,976
Cube (n³)
2,733,664,204,468,224
Divisor count
30
σ(n) — sum of divisors
391,716
φ(n) — Euler's totient
46,560
Sum of prime factors
985

Primality

Prime factorization: 2 4 × 3 2 × 971

Nearest primes: 139,813 (−11) · 139,831 (+7)

Divisors & multiples

All divisors (30)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 36 · 48 · 72 · 144 · 971 · 1942 · 2913 · 3884 · 5826 · 7768 · 8739 · 11652 · 15536 · 17478 · 23304 · 34956 · 46608 · 69912 (half) · 139824
Aliquot sum (sum of proper divisors): 251,892
Factor pairs (a × b = 139,824)
1 × 139824
2 × 69912
3 × 46608
4 × 34956
6 × 23304
8 × 17478
9 × 15536
12 × 11652
16 × 8739
18 × 7768
24 × 5826
36 × 3884
48 × 2913
72 × 1942
144 × 971
First multiples
139,824 · 279,648 (double) · 419,472 · 559,296 · 699,120 · 838,944 · 978,768 · 1,118,592 · 1,258,416 · 1,398,240

Sums & aliquot sequence

As consecutive integers: 46,607 + 46,608 + 46,609 15,532 + 15,533 + … + 15,540 4,354 + 4,355 + … + 4,385 1,409 + 1,410 + … + 1,504
Aliquot sequence: 139,824 251,892 384,926 192,466 96,236 100,072 114,488 119,872 118,126 59,066 42,214 21,110 16,906 9,014 4,510 4,562 2,284 — unresolved within range

Continued fraction of √n

√139,824 = [373; (1, 13, 2, 1, 1, 1, 1, 3, 1, 4, 3, 1, 2, 2, 2, 5, 1, 3, 3, 4, 1, 1, 2, 1, …)]

Representations

In words
one hundred thirty-nine thousand eight hundred twenty-four
Ordinal
139824th
Binary
100010001000110000
Octal
421060
Hexadecimal
0x22230
Base64
AiIw
One's complement
4,294,827,471 (32-bit)
Scientific notation
1.39824 × 10⁵
As a duration
139,824 s = 1 day, 14 hours, 50 minutes, 24 seconds
In other bases
ternary (3) 21002210200
quaternary (4) 202020300
quinary (5) 13433244
senary (6) 2555200
septenary (7) 1121436
nonary (9) 232720
undecimal (11) 96063
duodecimal (12) 68b00
tridecimal (13) 4b849
tetradecimal (14) 38d56
pentadecimal (15) 2b669

As an angle

139,824° = 388 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλθωκδʹ
Mayan (base 20)
𝋱·𝋩·𝋫·𝋤
Chinese
一十三萬九千八百二十四
Chinese (financial)
壹拾參萬玖仟捌佰貳拾肆
In other modern scripts
Eastern Arabic ١٣٩٨٢٤ Devanagari १३९८२४ Bengali ১৩৯৮২৪ Tamil ௧௩௯௮௨௪ Thai ๑๓๙๘๒๔ Tibetan ༡༣༩༨༢༤ Khmer ១៣៩៨២៤ Lao ໑໓໙໘໒໔ Burmese ၁၃၉၈၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 139824, here are decompositions:

  • 11 + 139813 = 139824
  • 23 + 139801 = 139824
  • 37 + 139787 = 139824
  • 71 + 139753 = 139824
  • 103 + 139721 = 139824
  • 127 + 139697 = 139824
  • 163 + 139661 = 139824
  • 197 + 139627 = 139824

Showing the first eight; more decompositions exist.

Unicode codepoint
𢈰
CJK Unified Ideograph-22230
U+22230
Other letter (Lo)

UTF-8 encoding: F0 A2 88 B0 (4 bytes).

Hex color
#022230
RGB(2, 34, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.34.48.

Address
0.2.34.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.34.48

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 139,824 and was likely granted around 1872.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.