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132,824

132,824 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.).

132,824 (one hundred thirty-two thousand eight hundred twenty-four) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2³ × 16,603. Written other ways, in hexadecimal, 0x206D8.

Deficient Number Odious Number Pernicious Number Refactorable Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
384
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
428,231
Square (n²)
17,642,214,976
Cube (n³)
2,343,309,561,972,224
Divisor count
8
σ(n) — sum of divisors
249,060
φ(n) — Euler's totient
66,408
Sum of prime factors
16,609

Primality

Prime factorization: 2 3 × 16603

Nearest primes: 132,817 (−7) · 132,833 (+9)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 16603 · 33206 · 66412 (half) · 132824
Aliquot sum (sum of proper divisors): 116,236
Factor pairs (a × b = 132,824)
1 × 132824
2 × 66412
4 × 33206
8 × 16603
First multiples
132,824 · 265,648 (double) · 398,472 · 531,296 · 664,120 · 796,944 · 929,768 · 1,062,592 · 1,195,416 · 1,328,240

Sums & aliquot sequence

As consecutive integers: 8,294 + 8,295 + … + 8,309
Aliquot sequence: 132,824 116,236 87,184 81,766 40,886 20,446 10,226 5,116 3,844 3,107 253 35 13 1 0 — terminates at zero

Continued fraction of √n

√132,824 = [364; (2, 4, 1, 1, 8, 1, 2, 10, 1, 6, 1, 1, 1, 1, 14, 1, 9, 3, 36, 8, 6, 6, 3, 2, …)]

Representations

In words
one hundred thirty-two thousand eight hundred twenty-four
Ordinal
132824th
Binary
100000011011011000
Octal
403330
Hexadecimal
0x206D8
Base64
AgbY
One's complement
4,294,834,471 (32-bit)
Scientific notation
1.32824 × 10⁵
As a duration
132,824 s = 1 day, 12 hours, 53 minutes, 44 seconds
In other bases
ternary (3) 20202012102
quaternary (4) 200123120
quinary (5) 13222244
senary (6) 2502532
septenary (7) 1062146
nonary (9) 222172
undecimal (11) 9087a
duodecimal (12) 64a48
tridecimal (13) 485c3
tetradecimal (14) 36596
pentadecimal (15) 2954e

As an angle

132,824° = 368 × 360° + 344°
344° ≈ 6.004 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβωκδʹ
Mayan (base 20)
𝋰·𝋬·𝋡·𝋤
Chinese
一十三萬二千八百二十四
Chinese (financial)
壹拾參萬貳仟捌佰貳拾肆
In other modern scripts
Eastern Arabic ١٣٢٨٢٤ Devanagari १३२८२४ Bengali ১৩২৮২৪ Tamil ௧௩௨௮௨௪ Thai ๑๓๒๘๒๔ Tibetan ༡༣༢༨༢༤ Khmer ១៣២៨២៤ Lao ໑໓໒໘໒໔ Burmese ၁၃၂၈၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132824, here are decompositions:

  • 7 + 132817 = 132824
  • 61 + 132763 = 132824
  • 67 + 132757 = 132824
  • 73 + 132751 = 132824
  • 103 + 132721 = 132824
  • 127 + 132697 = 132824
  • 157 + 132667 = 132824
  • 163 + 132661 = 132824

Showing the first eight; more decompositions exist.

Unicode codepoint
𠛘
CJK Unified Ideograph-206D8
U+206D8
Other letter (Lo)

UTF-8 encoding: F0 A0 9B 98 (4 bytes).

Hex color
#0206D8
RGB(2, 6, 216)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.216.

Address
0.2.6.216
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.216

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 132,824 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.