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132,066

132,066 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.).

132,066 (one hundred thirty-two thousand sixty-six) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2 × 3² × 11 × 23 × 29. Its proper divisors sum to 204,894, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x203E2.

Abundant Number Arithmetic Number Cube-Free Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
660,231
Recamán's sequence
a(228,240) = 132,066
Square (n²)
17,441,428,356
Cube (n³)
2,303,419,677,263,496
Divisor count
48
σ(n) — sum of divisors
336,960
φ(n) — Euler's totient
36,960
Sum of prime factors
71

Primality

Prime factorization: 2 × 3 2 × 11 × 23 × 29

Nearest primes: 132,059 (−7) · 132,071 (+5)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 6 · 9 · 11 · 18 · 22 · 23 · 29 · 33 · 46 · 58 · 66 · 69 · 87 · 99 · 138 · 174 · 198 · 207 · 253 · 261 · 319 · 414 · 506 · 522 · 638 · 667 · 759 · 957 · 1334 · 1518 · 1914 · 2001 · 2277 · 2871 · 4002 · 4554 · 5742 · 6003 · 7337 · 12006 · 14674 · 22011 · 44022 · 66033 (half) · 132066
Aliquot sum (sum of proper divisors): 204,894
Factor pairs (a × b = 132,066)
1 × 132066
2 × 66033
3 × 44022
6 × 22011
9 × 14674
11 × 12006
18 × 7337
22 × 6003
23 × 5742
29 × 4554
33 × 4002
46 × 2871
58 × 2277
66 × 2001
69 × 1914
87 × 1518
99 × 1334
138 × 957
174 × 759
198 × 667
207 × 638
253 × 522
261 × 506
319 × 414
First multiples
132,066 · 264,132 (double) · 396,198 · 528,264 · 660,330 · 792,396 · 924,462 · 1,056,528 · 1,188,594 · 1,320,660

Sums & aliquot sequence

As consecutive integers: 44,021 + 44,022 + 44,023 33,015 + 33,016 + 33,017 + 33,018 14,670 + 14,671 + … + 14,678 12,001 + 12,002 + … + 12,011
Aliquot sequence: 132,066 204,894 239,082 239,094 294,426 401,958 480,690 986,490 1,627,758 2,220,138 2,590,200 6,114,600 15,163,800 32,452,200 88,145,550 154,748,130 216,647,454 — unresolved within range

Continued fraction of √n

√132,066 = [363; (2, 2, 4, 8, 1, 2, 1, 14, 11, 8, 1, 3, 2, 2, 3, 2, 1, 28, 2, 1, 1, 1, 10, 1, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand sixty-six
Ordinal
132066th
Binary
100000001111100010
Octal
401742
Hexadecimal
0x203E2
Base64
AgPi
One's complement
4,294,835,229 (32-bit)
Scientific notation
1.32066 × 10⁵
As a duration
132,066 s = 1 day, 12 hours, 41 minutes, 6 seconds
In other bases
ternary (3) 20201011100
quaternary (4) 200033202
quinary (5) 13211231
senary (6) 2455230
septenary (7) 1060014
nonary (9) 221140
undecimal (11) 90250
duodecimal (12) 64516
tridecimal (13) 4815c
tetradecimal (14) 361b4
pentadecimal (15) 291e6
Palindromic in base 5

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβξϛʹ
Mayan (base 20)
𝋰·𝋪·𝋣·𝋦
Chinese
一十三萬二千零六十六
Chinese (financial)
壹拾參萬貳仟零陸拾陸
In other modern scripts
Eastern Arabic ١٣٢٠٦٦ Devanagari १३२०६६ Bengali ১৩২০৬৬ Tamil ௧௩௨௦௬௬ Thai ๑๓๒๐๖๖ Tibetan ༡༣༢༠༦༦ Khmer ១៣២០៦៦ Lao ໑໓໒໐໖໖ Burmese ၁၃၂၀၆၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132066, here are decompositions:

  • 7 + 132059 = 132066
  • 17 + 132049 = 132066
  • 19 + 132047 = 132066
  • 47 + 132019 = 132066
  • 97 + 131969 = 132066
  • 107 + 131959 = 132066
  • 127 + 131939 = 132066
  • 139 + 131927 = 132066

Showing the first eight; more decompositions exist.

Unicode codepoint
𠏢
CJK Unified Ideograph-203E2
U+203E2
Other letter (Lo)

UTF-8 encoding: F0 A0 8F A2 (4 bytes).

Hex color
#0203E2
RGB(2, 3, 226)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.226.

Address
0.2.3.226
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.226

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 132,066 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°.