number.wiki
Live analysis

132,728

132,728 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.).

132,728 (one hundred thirty-two thousand seven hundred twenty-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 47 × 353. Written other ways, in hexadecimal, 0x20678.

Arithmetic Number Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
672
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
827,231
Square (n²)
17,616,721,984
Cube (n³)
2,338,232,275,492,352
Divisor count
16
σ(n) — sum of divisors
254,880
φ(n) — Euler's totient
64,768
Sum of prime factors
406

Primality

Prime factorization: 2 3 × 47 × 353

Nearest primes: 132,721 (−7) · 132,739 (+11)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 47 · 94 · 188 · 353 · 376 · 706 · 1412 · 2824 · 16591 · 33182 · 66364 (half) · 132728
Aliquot sum (sum of proper divisors): 122,152
Factor pairs (a × b = 132,728)
1 × 132728
2 × 66364
4 × 33182
8 × 16591
47 × 2824
94 × 1412
188 × 706
353 × 376
First multiples
132,728 · 265,456 (double) · 398,184 · 530,912 · 663,640 · 796,368 · 929,096 · 1,061,824 · 1,194,552 · 1,327,280

Sums & aliquot sequence

As consecutive integers: 8,288 + 8,289 + … + 8,303 2,801 + 2,802 + … + 2,847 200 + 201 + … + 552
Aliquot sequence: 132,728 122,152 106,898 73,678 54,626 42,142 24,458 17,494 8,750 9,994 5,846 3,274 1,640 2,140 2,396 1,804 1,724 — unresolved within range

Continued fraction of √n

√132,728 = [364; (3, 7, 5, 1, 1, 1, 1, 42, 3, 1, 14, 1, 3, 42, 1, 1, 1, 1, 5, 7, 3, 728)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand seven hundred twenty-eight
Ordinal
132728th
Binary
100000011001111000
Octal
403170
Hexadecimal
0x20678
Base64
AgZ4
One's complement
4,294,834,567 (32-bit)
Scientific notation
1.32728 × 10⁵
As a duration
132,728 s = 1 day, 12 hours, 52 minutes, 8 seconds
In other bases
ternary (3) 20202001212
quaternary (4) 200121320
quinary (5) 13221403
senary (6) 2502252
septenary (7) 1061651
nonary (9) 222055
undecimal (11) 907a2
duodecimal (12) 64988
tridecimal (13) 4854b
tetradecimal (14) 36528
pentadecimal (15) 294d8

As an angle

132,728° = 368 × 360° + 248°
248° ≈ 4.328 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβψκηʹ
Mayan (base 20)
𝋰·𝋫·𝋰·𝋨
Chinese
一十三萬二千七百二十八
Chinese (financial)
壹拾參萬貳仟柒佰貳拾捌
In other modern scripts
Eastern Arabic ١٣٢٧٢٨ Devanagari १३२७२८ Bengali ১৩২৭২৮ Tamil ௧௩௨௭௨௮ Thai ๑๓๒๗๒๘ Tibetan ༡༣༢༧༢༨ Khmer ១៣២៧២៨ Lao ໑໓໒໗໒໘ Burmese ၁၃၂၇၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132728, here are decompositions:

  • 7 + 132721 = 132728
  • 19 + 132709 = 132728
  • 31 + 132697 = 132728
  • 61 + 132667 = 132728
  • 67 + 132661 = 132728
  • 97 + 132631 = 132728
  • 109 + 132619 = 132728
  • 139 + 132589 = 132728

Showing the first eight; more decompositions exist.

Unicode codepoint
𠙸
CJK Unified Ideograph-20678
U+20678
Other letter (Lo)

UTF-8 encoding: F0 A0 99 B8 (4 bytes).

Hex color
#020678
RGB(2, 6, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.120.

Address
0.2.6.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.120

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 132,728 and was likely granted around 1872.

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

Related reading

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