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139,728

139,728 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.).

139,728 (one hundred thirty-nine thousand seven hundred twenty-eight) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 41 × 71. Its proper divisors sum to 235,248, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x221D0.

Abundant Number Evil Number Happy Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
3,024
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
827,931
Recamán's sequence
a(489,371) = 139,728
Square (n²)
19,523,913,984
Cube (n³)
2,728,037,453,156,352
Divisor count
40
σ(n) — sum of divisors
374,976
φ(n) — Euler's totient
44,800
Sum of prime factors
123

Primality

Prime factorization: 2 4 × 3 × 41 × 71

Nearest primes: 139,721 (−7) · 139,729 (+1)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 41 · 48 · 71 · 82 · 123 · 142 · 164 · 213 · 246 · 284 · 328 · 426 · 492 · 568 · 656 · 852 · 984 · 1136 · 1704 · 1968 · 2911 · 3408 · 5822 · 8733 · 11644 · 17466 · 23288 · 34932 · 46576 · 69864 (half) · 139728
Aliquot sum (sum of proper divisors): 235,248
Factor pairs (a × b = 139,728)
1 × 139728
2 × 69864
3 × 46576
4 × 34932
6 × 23288
8 × 17466
12 × 11644
16 × 8733
24 × 5822
41 × 3408
48 × 2911
71 × 1968
82 × 1704
123 × 1136
142 × 984
164 × 852
213 × 656
246 × 568
284 × 492
328 × 426
First multiples
139,728 · 279,456 (double) · 419,184 · 558,912 · 698,640 · 838,368 · 978,096 · 1,117,824 · 1,257,552 · 1,397,280

Sums & aliquot sequence

As consecutive integers: 46,575 + 46,576 + 46,577 4,351 + 4,352 + … + 4,382 3,388 + 3,389 + … + 3,428 1,933 + 1,934 + … + 2,003
Aliquot sequence: 139,728 235,248 445,512 728,088 1,172,712 1,789,368 3,323,592 6,433,848 11,119,272 16,678,968 25,018,512 41,364,144 74,398,412 68,387,140 77,047,100 109,753,444 83,588,124 — unresolved within range

Continued fraction of √n

√139,728 = [373; (1, 4, 18, 1, 31, 1, 1, 3, 1, 10, 1, 9, 3, 14, 1, 14, 3, 9, 1, 10, 1, 3, 1, 1, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-nine thousand seven hundred twenty-eight
Ordinal
139728th
Binary
100010000111010000
Octal
420720
Hexadecimal
0x221D0
Base64
AiHQ
One's complement
4,294,827,567 (32-bit)
Scientific notation
1.39728 × 10⁵
As a duration
139,728 s = 1 day, 14 hours, 48 minutes, 48 seconds
In other bases
ternary (3) 21002200010
quaternary (4) 202013100
quinary (5) 13432403
senary (6) 2554520
septenary (7) 1121241
nonary (9) 232603
undecimal (11) 95a86
duodecimal (12) 68a40
tridecimal (13) 4b7a4
tetradecimal (14) 38cc8
pentadecimal (15) 2b603

As an angle

139,728° = 388 × 360° + 48°
48° ≈ 0.838 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλθψκηʹ
Mayan (base 20)
𝋱·𝋩·𝋦·𝋨
Chinese
一十三萬九千七百二十八
Chinese (financial)
壹拾參萬玖仟柒佰貳拾捌
In other modern scripts
Eastern Arabic ١٣٩٧٢٨ Devanagari १३९७२८ Bengali ১৩৯৭২৮ Tamil ௧௩௯௭௨௮ Thai ๑๓๙๗๒๘ Tibetan ༡༣༩༧༢༨ Khmer ១៣៩៧២៨ Lao ໑໓໙໗໒໘ Burmese ၁၃၉၇၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 139728, here are decompositions:

  • 7 + 139721 = 139728
  • 19 + 139709 = 139728
  • 31 + 139697 = 139728
  • 47 + 139681 = 139728
  • 67 + 139661 = 139728
  • 101 + 139627 = 139728
  • 109 + 139619 = 139728
  • 131 + 139597 = 139728

Showing the first eight; more decompositions exist.

Unicode codepoint
𢇐
CJK Unified Ideograph-221D0
U+221D0
Other letter (Lo)

UTF-8 encoding: F0 A2 87 90 (4 bytes).

Hex color
#0221D0
RGB(2, 33, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.33.208.

Address
0.2.33.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.33.208

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 139,728 and was likely granted around 1872.

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

Position in π

The digit sequence 139728 first appears in π at position 28,038 of the decimal expansion (the 28,038ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

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