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132,928

132,928 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.).

132,928 (one hundred thirty-two thousand nine hundred twenty-eight) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 31 × 67. Its proper divisors sum to 143,424, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20740.

Abundant Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
864
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
829,231
Square (n²)
17,669,853,184
Cube (n³)
2,348,818,244,042,752
Divisor count
28
σ(n) — sum of divisors
276,352
φ(n) — Euler's totient
63,360
Sum of prime factors
110

Primality

Prime factorization: 2 6 × 31 × 67

Nearest primes: 132,911 (−17) · 132,929 (+1)

Divisors & multiples

All divisors (28)
1 · 2 · 4 · 8 · 16 · 31 · 32 · 62 · 64 · 67 · 124 · 134 · 248 · 268 · 496 · 536 · 992 · 1072 · 1984 · 2077 · 2144 · 4154 · 4288 · 8308 · 16616 · 33232 · 66464 (half) · 132928
Aliquot sum (sum of proper divisors): 143,424
Factor pairs (a × b = 132,928)
1 × 132928
2 × 66464
4 × 33232
8 × 16616
16 × 8308
31 × 4288
32 × 4154
62 × 2144
64 × 2077
67 × 1984
124 × 1072
134 × 992
248 × 536
268 × 496
First multiples
132,928 · 265,856 (double) · 398,784 · 531,712 · 664,640 · 797,568 · 930,496 · 1,063,424 · 1,196,352 · 1,329,280

Sums & aliquot sequence

As consecutive integers: 4,273 + 4,274 + … + 4,303 1,951 + 1,952 + … + 2,017 975 + 976 + … + 1,102
Aliquot sequence: 132,928 143,424 283,296 521,088 947,712 1,581,144 2,371,776 4,480,128 8,415,222 8,529,978 8,529,990 15,109,050 25,772,262 27,795,738 28,906,278 28,906,290 62,072,910 — unresolved within range

Continued fraction of √n

√132,928 = [364; (1, 1, 2, 5, 3, 1, 22, 1, 3, 5, 2, 1, 1, 728)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand nine hundred twenty-eight
Ordinal
132928th
Binary
100000011101000000
Octal
403500
Hexadecimal
0x20740
Base64
AgdA
One's complement
4,294,834,367 (32-bit)
Scientific notation
1.32928 × 10⁵
As a duration
132,928 s = 1 day, 12 hours, 55 minutes, 28 seconds
In other bases
ternary (3) 20202100021
quaternary (4) 200131000
quinary (5) 13223203
senary (6) 2503224
septenary (7) 1062355
nonary (9) 222307
undecimal (11) 90964
duodecimal (12) 64b14
tridecimal (13) 48673
tetradecimal (14) 3662c
pentadecimal (15) 295bd

As an angle

132,928° = 369 × 360° + 88°
88° ≈ 1.536 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβϡκηʹ
Mayan (base 20)
𝋰·𝋬·𝋦·𝋨
Chinese
一十三萬二千九百二十八
Chinese (financial)
壹拾參萬貳仟玖佰貳拾捌
In other modern scripts
Eastern Arabic ١٣٢٩٢٨ Devanagari १३२९२८ Bengali ১৩২৯২৮ Tamil ௧௩௨௯௨௮ Thai ๑๓๒๙๒๘ Tibetan ༡༣༢༩༢༨ Khmer ១៣២៩២៨ Lao ໑໓໒໙໒໘ Burmese ၁၃၂၉၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132928, here are decompositions:

  • 17 + 132911 = 132928
  • 41 + 132887 = 132928
  • 71 + 132857 = 132928
  • 167 + 132761 = 132928
  • 179 + 132749 = 132928
  • 227 + 132701 = 132928
  • 239 + 132689 = 132928
  • 281 + 132647 = 132928

Showing the first eight; more decompositions exist.

Unicode codepoint
𠝀
CJK Unified Ideograph-20740
U+20740
Other letter (Lo)

UTF-8 encoding: F0 A0 9D 80 (4 bytes).

Hex color
#020740
RGB(2, 7, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.64.

Address
0.2.7.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.64

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 132,928 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