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132,762

132,762 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.).

132,762 (one hundred thirty-two thousand seven hundred sixty-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 7 × 29 × 109. Its proper divisors sum to 184,038, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2069A.

Abundant Number Arithmetic Number Cube-Free Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
504
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
267,231
Square (n²)
17,625,748,644
Cube (n³)
2,340,029,641,474,728
Divisor count
32
σ(n) — sum of divisors
316,800
φ(n) — Euler's totient
36,288
Sum of prime factors
150

Primality

Prime factorization: 2 × 3 × 7 × 29 × 109

Nearest primes: 132,761 (−1) · 132,763 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 7 · 14 · 21 · 29 · 42 · 58 · 87 · 109 · 174 · 203 · 218 · 327 · 406 · 609 · 654 · 763 · 1218 · 1526 · 2289 · 3161 · 4578 · 6322 · 9483 · 18966 · 22127 · 44254 · 66381 (half) · 132762
Aliquot sum (sum of proper divisors): 184,038
Factor pairs (a × b = 132,762)
1 × 132762
2 × 66381
3 × 44254
6 × 22127
7 × 18966
14 × 9483
21 × 6322
29 × 4578
42 × 3161
58 × 2289
87 × 1526
109 × 1218
174 × 763
203 × 654
218 × 609
327 × 406
First multiples
132,762 · 265,524 (double) · 398,286 · 531,048 · 663,810 · 796,572 · 929,334 · 1,062,096 · 1,194,858 · 1,327,620

Sums & aliquot sequence

As consecutive integers: 44,253 + 44,254 + 44,255 33,189 + 33,190 + 33,191 + 33,192 18,963 + 18,964 + … + 18,969 11,058 + 11,059 + … + 11,069
Aliquot sequence: 132,762 184,038 194,442 211,638 272,202 350,070 610,698 794,742 995,466 1,006,422 1,041,258 1,041,270 1,503,210 2,151,510 3,192,330 4,469,334 5,224,746 — unresolved within range

Continued fraction of √n

√132,762 = [364; (2, 1, 2, 1, 4, 1, 1, 4, 5, 2, 3, 32, 1, 5, 19, 104, 19, 5, 1, 32, 3, 2, 5, 4, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand seven hundred sixty-two
Ordinal
132762nd
Binary
100000011010011010
Octal
403232
Hexadecimal
0x2069A
Base64
Agaa
One's complement
4,294,834,533 (32-bit)
Scientific notation
1.32762 × 10⁵
As a duration
132,762 s = 1 day, 12 hours, 52 minutes, 42 seconds
In other bases
ternary (3) 20202010010
quaternary (4) 200122122
quinary (5) 13222022
senary (6) 2502350
septenary (7) 1062030
nonary (9) 222103
undecimal (11) 90823
duodecimal (12) 649b6
tridecimal (13) 48576
tetradecimal (14) 36550
pentadecimal (15) 2950c

As an angle

132,762° = 368 × 360° + 282°
282° ≈ 4.922 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλβψξβʹ
Mayan (base 20)
𝋰·𝋫·𝋲·𝋢
Chinese
一十三萬二千七百六十二
Chinese (financial)
壹拾參萬貳仟柒佰陸拾貳
In other modern scripts
Eastern Arabic ١٣٢٧٦٢ Devanagari १३२७६२ Bengali ১৩২৭৬২ Tamil ௧௩௨௭௬௨ Thai ๑๓๒๗๖๒ Tibetan ༡༣༢༧༦༢ Khmer ១៣២៧៦២ Lao ໑໓໒໗໖໒ Burmese ၁၃၂၇၆၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132762, here are decompositions:

  • 5 + 132757 = 132762
  • 11 + 132751 = 132762
  • 13 + 132749 = 132762
  • 23 + 132739 = 132762
  • 41 + 132721 = 132762
  • 53 + 132709 = 132762
  • 61 + 132701 = 132762
  • 73 + 132689 = 132762

Showing the first eight; more decompositions exist.

Unicode codepoint
𠚚
CJK Unified Ideograph-2069A
U+2069A
Other letter (Lo)

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

Hex color
#02069A
RGB(2, 6, 154)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.154.

Address
0.2.6.154
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.154

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 132,762 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.