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132,784

132,784 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.).

132,784 (one hundred thirty-two thousand seven hundred eighty-four) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 43 × 193. Written other ways, in hexadecimal, 0x206B0.

Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
1,344
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
487,231
Square (n²)
17,631,590,656
Cube (n³)
2,341,193,133,666,304
Divisor count
20
σ(n) — sum of divisors
264,616
φ(n) — Euler's totient
64,512
Sum of prime factors
244

Primality

Prime factorization: 2 4 × 43 × 193

Nearest primes: 132,763 (−21) · 132,817 (+33)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 43 · 86 · 172 · 193 · 344 · 386 · 688 · 772 · 1544 · 3088 · 8299 · 16598 · 33196 · 66392 (half) · 132784
Aliquot sum (sum of proper divisors): 131,832
Factor pairs (a × b = 132,784)
1 × 132784
2 × 66392
4 × 33196
8 × 16598
16 × 8299
43 × 3088
86 × 1544
172 × 772
193 × 688
344 × 386
First multiples
132,784 · 265,568 (double) · 398,352 · 531,136 · 663,920 · 796,704 · 929,488 · 1,062,272 · 1,195,056 · 1,327,840

Sums & aliquot sequence

As consecutive integers: 4,134 + 4,135 + … + 4,165 3,067 + 3,068 + … + 3,109 592 + 593 + … + 784
Aliquot sequence: 132,784 131,832 225,408 374,352 682,128 1,277,072 1,197,286 598,646 320,338 160,172 132,484 120,524 97,876 73,414 51,002 36,454 23,234 — unresolved within range

Continued fraction of √n

√132,784 = [364; (2, 1, 1, 8, 13, 7, 2, 3, 2, 8, 1, 1, 3, 1, 1, 1, 3, 45, 3, 1, 1, 1, 3, 1, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand seven hundred eighty-four
Ordinal
132784th
Binary
100000011010110000
Octal
403260
Hexadecimal
0x206B0
Base64
Agaw
One's complement
4,294,834,511 (32-bit)
Scientific notation
1.32784 × 10⁵
As a duration
132,784 s = 1 day, 12 hours, 53 minutes, 4 seconds
In other bases
ternary (3) 20202010221
quaternary (4) 200122300
quinary (5) 13222114
senary (6) 2502424
septenary (7) 1062061
nonary (9) 222127
undecimal (11) 90843
duodecimal (12) 64a14
tridecimal (13) 48592
tetradecimal (14) 36568
pentadecimal (15) 29524

As an angle

132,784° = 368 × 360° + 304°
304° ≈ 5.306 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβψπδʹ
Mayan (base 20)
𝋰·𝋫·𝋳·𝋤
Chinese
一十三萬二千七百八十四
Chinese (financial)
壹拾參萬貳仟柒佰捌拾肆
In other modern scripts
Eastern Arabic ١٣٢٧٨٤ Devanagari १३२७८४ Bengali ১৩২৭৮৪ Tamil ௧௩௨௭௮௪ Thai ๑๓๒๗๘๔ Tibetan ༡༣༢༧༨༤ Khmer ១៣២៧៨៤ Lao ໑໓໒໗໘໔ Burmese ၁၃၂၇၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132784, here are decompositions:

  • 23 + 132761 = 132784
  • 83 + 132701 = 132784
  • 137 + 132647 = 132784
  • 173 + 132611 = 132784
  • 251 + 132533 = 132784
  • 257 + 132527 = 132784
  • 293 + 132491 = 132784
  • 347 + 132437 = 132784

Showing the first eight; more decompositions exist.

Unicode codepoint
𠚰
CJK Unified Ideograph-206B0
U+206B0
Other letter (Lo)

UTF-8 encoding: F0 A0 9A B0 (4 bytes).

Hex color
#0206B0
RGB(2, 6, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.176.

Address
0.2.6.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.176

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 132,784 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