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132,782

132,782 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.).

132,782 (one hundred thirty-two thousand seven hundred eighty-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 13 × 5,107. Written other ways, in hexadecimal, 0x206AE.

Arithmetic Number Cube-Free Deficient Number Evil Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
672
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
287,231
Square (n²)
17,631,059,524
Cube (n³)
2,341,087,345,715,768
Divisor count
8
σ(n) — sum of divisors
214,536
φ(n) — Euler's totient
61,272
Sum of prime factors
5,122

Primality

Prime factorization: 2 × 13 × 5107

Nearest primes: 132,763 (−19) · 132,817 (+35)

Divisors & multiples

All divisors (8)
1 · 2 · 13 · 26 · 5107 · 10214 · 66391 (half) · 132782
Aliquot sum (sum of proper divisors): 81,754
Factor pairs (a × b = 132,782)
1 × 132782
2 × 66391
13 × 10214
26 × 5107
First multiples
132,782 · 265,564 (double) · 398,346 · 531,128 · 663,910 · 796,692 · 929,474 · 1,062,256 · 1,195,038 · 1,327,820

Sums & aliquot sequence

As consecutive integers: 33,194 + 33,195 + 33,196 + 33,197 10,208 + 10,209 + … + 10,220 2,528 + 2,529 + … + 2,579
Aliquot sequence: 132,782 81,754 43,994 22,000 36,032 35,596 32,444 24,340 26,816 26,524 22,476 29,996 22,504 21,596 16,204 12,160 18,440 — unresolved within range

Continued fraction of √n

√132,782 = [364; (2, 1, 1, 4, 1, 5, 4, 1, 24, 3, 11, 2, 2, 1, 6, 2, 1, 3, 13, 2, 11, 2, 6, 1, …)]

Representations

In words
one hundred thirty-two thousand seven hundred eighty-two
Ordinal
132782nd
Binary
100000011010101110
Octal
403256
Hexadecimal
0x206AE
Base64
Agau
One's complement
4,294,834,513 (32-bit)
Scientific notation
1.32782 × 10⁵
As a duration
132,782 s = 1 day, 12 hours, 53 minutes, 2 seconds
In other bases
ternary (3) 20202010212
quaternary (4) 200122232
quinary (5) 13222112
senary (6) 2502422
septenary (7) 1062056
nonary (9) 222125
undecimal (11) 90841
duodecimal (12) 64a12
tridecimal (13) 48590
tetradecimal (14) 36566
pentadecimal (15) 29522

As an angle

132,782° = 368 × 360° + 302°
302° ≈ 5.271 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλβψπβʹ
Mayan (base 20)
𝋰·𝋫·𝋳·𝋢
Chinese
一十三萬二千七百八十二
Chinese (financial)
壹拾參萬貳仟柒佰捌拾貳
In other modern scripts
Eastern Arabic ١٣٢٧٨٢ Devanagari १३२७८२ Bengali ১৩২৭৮২ Tamil ௧௩௨௭௮௨ Thai ๑๓๒๗๘๒ Tibetan ༡༣༢༧༨༢ Khmer ១៣២៧៨២ Lao ໑໓໒໗໘໒ Burmese ၁၃၂၇၈၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132782, here are decompositions:

  • 19 + 132763 = 132782
  • 31 + 132751 = 132782
  • 43 + 132739 = 132782
  • 61 + 132721 = 132782
  • 73 + 132709 = 132782
  • 103 + 132679 = 132782
  • 151 + 132631 = 132782
  • 163 + 132619 = 132782

Showing the first eight; more decompositions exist.

Unicode codepoint
𠚮
CJK Unified Ideograph-206Ae
U+206AE
Other letter (Lo)

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

Hex color
#0206AE
RGB(2, 6, 174)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.174.

Address
0.2.6.174
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.174

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 132,782 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 132782 first appears in π at position 463,994 of the decimal expansion (the 463,994ordinal-suffix:th 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

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