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139,680

139,680 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.).

139,680 (one hundred thirty-nine thousand six hundred eighty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 3² × 5 × 97. Its proper divisors sum to 341,892, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x221A0.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
86,931
Recamán's sequence
a(489,467) = 139,680
Square (n²)
19,510,502,400
Cube (n³)
2,725,226,975,232,000
Divisor count
72
σ(n) — sum of divisors
481,572
φ(n) — Euler's totient
36,864
Sum of prime factors
118

Primality

Prime factorization: 2 5 × 3 2 × 5 × 97

Nearest primes: 139,663 (−17) · 139,681 (+1)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 30 · 32 · 36 · 40 · 45 · 48 · 60 · 72 · 80 · 90 · 96 · 97 · 120 · 144 · 160 · 180 · 194 · 240 · 288 · 291 · 360 · 388 · 480 · 485 · 582 · 720 · 776 · 873 · 970 · 1164 · 1440 · 1455 · 1552 · 1746 · 1940 · 2328 · 2910 · 3104 · 3492 · 3880 · 4365 · 4656 · 5820 · 6984 · 7760 · 8730 · 9312 · 11640 · 13968 · 15520 · 17460 · 23280 · 27936 · 34920 · 46560 · 69840 (half) · 139680
Aliquot sum (sum of proper divisors): 341,892
Factor pairs (a × b = 139,680)
1 × 139680
2 × 69840
3 × 46560
4 × 34920
5 × 27936
6 × 23280
8 × 17460
9 × 15520
10 × 13968
12 × 11640
15 × 9312
16 × 8730
18 × 7760
20 × 6984
24 × 5820
30 × 4656
32 × 4365
36 × 3880
40 × 3492
45 × 3104
48 × 2910
60 × 2328
72 × 1940
80 × 1746
90 × 1552
96 × 1455
97 × 1440
120 × 1164
144 × 970
160 × 873
180 × 776
194 × 720
240 × 582
288 × 485
291 × 480
360 × 388
First multiples
139,680 · 279,360 (double) · 419,040 · 558,720 · 698,400 · 838,080 · 977,760 · 1,117,440 · 1,257,120 · 1,396,800

Sums & aliquot sequence

As a sum of two squares: 36² + 372² = 252² + 276²
As consecutive integers: 46,559 + 46,560 + 46,561 27,934 + 27,935 + 27,936 + 27,937 + 27,938 15,516 + 15,517 + … + 15,524 9,305 + 9,306 + … + 9,319
Aliquot sequence: 139,680 341,892 522,426 522,438 693,714 919,086 1,215,954 1,481,598 1,810,962 2,112,828 3,107,604 4,143,500 4,906,996 3,705,356 2,796,412 2,266,268 1,699,708 — unresolved within range

Continued fraction of √n

√139,680 = [373; (1, 2, 1, 4, 2, 2, 7, 2, 5, 1, 4, 2, 1, 8, 1, 1, 5, 1, 3, 14, 1, 185, 1, 14, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-nine thousand six hundred eighty
Ordinal
139680th
Binary
100010000110100000
Octal
420640
Hexadecimal
0x221A0
Base64
AiGg
One's complement
4,294,827,615 (32-bit)
Scientific notation
1.3968 × 10⁵
As a duration
139,680 s = 1 day, 14 hours, 48 minutes
In other bases
ternary (3) 21002121100
quaternary (4) 202012200
quinary (5) 13432210
senary (6) 2554400
septenary (7) 1121142
nonary (9) 232540
undecimal (11) 95a42
duodecimal (12) 68a00
tridecimal (13) 4b768
tetradecimal (14) 38c92
pentadecimal (15) 2b5c0

As an angle

139,680° = 388 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλθχπʹ
Mayan (base 20)
𝋱·𝋩·𝋤·𝋠
Chinese
一十三萬九千六百八十
Chinese (financial)
壹拾參萬玖仟陸佰捌拾
In other modern scripts
Eastern Arabic ١٣٩٦٨٠ Devanagari १३९६८० Bengali ১৩৯৬৮০ Tamil ௧௩௯௬௮௦ Thai ๑๓๙๖๘๐ Tibetan ༡༣༩༦༨༠ Khmer ១៣៩៦៨០ Lao ໑໓໙໖໘໐ Burmese ၁၃၉၆၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 139680, here are decompositions:

  • 17 + 139663 = 139680
  • 19 + 139661 = 139680
  • 53 + 139627 = 139680
  • 61 + 139619 = 139680
  • 71 + 139609 = 139680
  • 83 + 139597 = 139680
  • 89 + 139591 = 139680
  • 109 + 139571 = 139680

Showing the first eight; more decompositions exist.

Unicode codepoint
𢆠
CJK Unified Ideograph-221A0
U+221A0
Other letter (Lo)

UTF-8 encoding: F0 A2 86 A0 (4 bytes).

Hex color
#0221A0
RGB(2, 33, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.33.160.

Address
0.2.33.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.33.160

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 139,680 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°.