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132,828

132,828 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.).

132,828 (one hundred thirty-two thousand eight hundred twenty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 11,069. Its proper divisors sum to 177,132, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x206DC.

Abundant Number Arithmetic Number Cube-Free Evil Number Refactorable Number Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
768
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
828,231
Square (n²)
17,643,277,584
Cube (n³)
2,343,521,274,927,552
Divisor count
12
σ(n) — sum of divisors
309,960
φ(n) — Euler's totient
44,272
Sum of prime factors
11,076

Primality

Prime factorization: 2 2 × 3 × 11069

Nearest primes: 132,817 (−11) · 132,833 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 11069 · 22138 · 33207 · 44276 · 66414 (half) · 132828
Aliquot sum (sum of proper divisors): 177,132
Factor pairs (a × b = 132,828)
1 × 132828
2 × 66414
3 × 44276
4 × 33207
6 × 22138
12 × 11069
First multiples
132,828 · 265,656 (double) · 398,484 · 531,312 · 664,140 · 796,968 · 929,796 · 1,062,624 · 1,195,452 · 1,328,280

Sums & aliquot sequence

As consecutive integers: 44,275 + 44,276 + 44,277 16,600 + 16,601 + … + 16,607 5,523 + 5,524 + … + 5,546
Aliquot sequence: 132,828 177,132 251,268 335,052 536,364 852,660 1,801,740 3,243,300 6,651,900 15,351,900 29,738,964 40,791,244 36,084,660 64,952,556 90,974,964 133,365,516 177,820,716 — unresolved within range

Continued fraction of √n

√132,828 = [364; (2, 5, 6, 1, 1, 1, 2, 2, 1, 1, 65, 1, 2, 9, 1, 1, 1, 6, 31, 1, 1, 5, 1, 1, …)]

Representations

In words
one hundred thirty-two thousand eight hundred twenty-eight
Ordinal
132828th
Binary
100000011011011100
Octal
403334
Hexadecimal
0x206DC
Base64
Agbc
One's complement
4,294,834,467 (32-bit)
Scientific notation
1.32828 × 10⁵
As a duration
132,828 s = 1 day, 12 hours, 53 minutes, 48 seconds
In other bases
ternary (3) 20202012120
quaternary (4) 200123130
quinary (5) 13222303
senary (6) 2502540
septenary (7) 1062153
nonary (9) 222176
undecimal (11) 90883
duodecimal (12) 64a50
tridecimal (13) 485c7
tetradecimal (14) 3659a
pentadecimal (15) 29553

As an angle

132,828° = 368 × 360° + 348°
348° ≈ 6.074 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβωκηʹ
Mayan (base 20)
𝋰·𝋬·𝋡·𝋨
Chinese
一十三萬二千八百二十八
Chinese (financial)
壹拾參萬貳仟捌佰貳拾捌
In other modern scripts
Eastern Arabic ١٣٢٨٢٨ Devanagari १३२८२८ Bengali ১৩২৮২৮ Tamil ௧௩௨௮௨௮ Thai ๑๓๒๘๒๘ Tibetan ༡༣༢༨༢༨ Khmer ១៣២៨២៨ Lao ໑໓໒໘໒໘ Burmese ၁၃၂၈၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132828, here are decompositions:

  • 11 + 132817 = 132828
  • 67 + 132761 = 132828
  • 71 + 132757 = 132828
  • 79 + 132749 = 132828
  • 89 + 132739 = 132828
  • 107 + 132721 = 132828
  • 127 + 132701 = 132828
  • 131 + 132697 = 132828

Showing the first eight; more decompositions exist.

Unicode codepoint
𠛜
CJK Unified Ideograph-206Dc
U+206DC
Other letter (Lo)

UTF-8 encoding: F0 A0 9B 9C (4 bytes).

Hex color
#0206DC
RGB(2, 6, 220)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.220.

Address
0.2.6.220
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.220

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 132,828 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 132828 first appears in π at position 680,651 of the decimal expansion (the 680,651ordinal-suffix:st 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°.