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139,520

139,520 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.).

139,520 (one hundred thirty-nine thousand five hundred twenty) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2⁸ × 5 × 109. Its proper divisors sum to 197,740, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x22100.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical 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
18 bits
Reversed
25,931
Recamán's sequence
a(489,787) = 139,520
Square (n²)
19,465,830,400
Cube (n³)
2,715,872,657,408,000
Divisor count
36
σ(n) — sum of divisors
337,260
φ(n) — Euler's totient
55,296
Sum of prime factors
130

Primality

Prime factorization: 2 8 × 5 × 109

Nearest primes: 139,511 (−9) · 139,537 (+17)

Divisors & multiples

All divisors (36)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 64 · 80 · 109 · 128 · 160 · 218 · 256 · 320 · 436 · 545 · 640 · 872 · 1090 · 1280 · 1744 · 2180 · 3488 · 4360 · 6976 · 8720 · 13952 · 17440 · 27904 · 34880 · 69760 (half) · 139520
Aliquot sum (sum of proper divisors): 197,740
Factor pairs (a × b = 139,520)
1 × 139520
2 × 69760
4 × 34880
5 × 27904
8 × 17440
10 × 13952
16 × 8720
20 × 6976
32 × 4360
40 × 3488
64 × 2180
80 × 1744
109 × 1280
128 × 1090
160 × 872
218 × 640
256 × 545
320 × 436
First multiples
139,520 · 279,040 (double) · 418,560 · 558,080 · 697,600 · 837,120 · 976,640 · 1,116,160 · 1,255,680 · 1,395,200

Sums & aliquot sequence

As a sum of two squares: 64² + 368² = 256² + 272²
As consecutive integers: 27,902 + 27,903 + 27,904 + 27,905 + 27,906 1,226 + 1,227 + … + 1,334 17 + 18 + … + 528
Aliquot sequence: 139,520 197,740 217,556 166,912 168,796 142,284 196,404 297,516 396,716 326,944 355,724 273,100 319,744 319,006 159,506 81,658 40,832 — unresolved within range

Continued fraction of √n

√139,520 = [373; (1, 1, 10, 46, 1, 1, 2, 7, 1, 185, 1, 7, 2, 1, 1, 46, 10, 1, 1, 746)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-nine thousand five hundred twenty
Ordinal
139520th
Binary
100010000100000000
Octal
420400
Hexadecimal
0x22100
Base64
AiEA
One's complement
4,294,827,775 (32-bit)
Scientific notation
1.3952 × 10⁵
As a duration
139,520 s = 1 day, 14 hours, 45 minutes, 20 seconds
In other bases
ternary (3) 21002101102
quaternary (4) 202010000
quinary (5) 13431040
senary (6) 2553532
septenary (7) 1120523
nonary (9) 232342
undecimal (11) 95907
duodecimal (12) 688a8
tridecimal (13) 4b674
tetradecimal (14) 38bba
pentadecimal (15) 2b515

As an angle

139,520° = 387 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρλθφκʹ
Mayan (base 20)
𝋱·𝋨·𝋰·𝋠
Chinese
一十三萬九千五百二十
Chinese (financial)
壹拾參萬玖仟伍佰貳拾
In other modern scripts
Eastern Arabic ١٣٩٥٢٠ Devanagari १३९५२० Bengali ১৩৯৫২০ Tamil ௧௩௯௫௨௦ Thai ๑๓๙๕๒๐ Tibetan ༡༣༩༥༢༠ Khmer ១៣៩៥២០ Lao ໑໓໙໕໒໐ Burmese ၁၃၉၅၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 139520, here are decompositions:

  • 19 + 139501 = 139520
  • 37 + 139483 = 139520
  • 61 + 139459 = 139520
  • 97 + 139423 = 139520
  • 127 + 139393 = 139520
  • 151 + 139369 = 139520
  • 181 + 139339 = 139520
  • 211 + 139309 = 139520

Showing the first eight; more decompositions exist.

Unicode codepoint
𢄀
CJK Unified Ideograph-22100
U+22100
Other letter (Lo)

UTF-8 encoding: F0 A2 84 80 (4 bytes).

Hex color
#022100
RGB(2, 33, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.33.0.

Address
0.2.33.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.33.0

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 139,520 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

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