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132,366

132,366 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.).

132,366 (one hundred thirty-two thousand three hundred sixty-six) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 13 × 1,697. Its proper divisors sum to 152,898, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2050E.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
648
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
663,231
Recamán's sequence
a(227,640) = 132,366
Square (n²)
17,520,757,956
Cube (n³)
2,319,152,647,603,896
Divisor count
16
σ(n) — sum of divisors
285,264
φ(n) — Euler's totient
40,704
Sum of prime factors
1,715

Primality

Prime factorization: 2 × 3 × 13 × 1697

Nearest primes: 132,361 (−5) · 132,367 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 13 · 26 · 39 · 78 · 1697 · 3394 · 5091 · 10182 · 22061 · 44122 · 66183 (half) · 132366
Aliquot sum (sum of proper divisors): 152,898
Factor pairs (a × b = 132,366)
1 × 132366
2 × 66183
3 × 44122
6 × 22061
13 × 10182
26 × 5091
39 × 3394
78 × 1697
First multiples
132,366 · 264,732 (double) · 397,098 · 529,464 · 661,830 · 794,196 · 926,562 · 1,058,928 · 1,191,294 · 1,323,660

Sums & aliquot sequence

As consecutive integers: 44,121 + 44,122 + 44,123 33,090 + 33,091 + 33,092 + 33,093 11,025 + 11,026 + … + 11,036 10,176 + 10,177 + … + 10,188
Aliquot sequence: 132,366 152,898 171,102 171,114 194,646 194,658 194,670 404,370 647,226 790,938 996,582 1,010,778 1,010,790 1,858,986 2,203,254 2,692,986 2,733,414 — unresolved within range

Continued fraction of √n

√132,366 = [363; (1, 4, 1, 1, 2, 28, 1, 2, 2, 13, 1, 5, 4, 4, 6, 1, 30, 1, 3, 2, 3, 1, 3, 4, …)]

Representations

In words
one hundred thirty-two thousand three hundred sixty-six
Ordinal
132366th
Binary
100000010100001110
Octal
402416
Hexadecimal
0x2050E
Base64
AgUO
One's complement
4,294,834,929 (32-bit)
Scientific notation
1.32366 × 10⁵
As a duration
132,366 s = 1 day, 12 hours, 46 minutes, 6 seconds
In other bases
ternary (3) 20201120110
quaternary (4) 200110032
quinary (5) 13213431
senary (6) 2500450
septenary (7) 1060623
nonary (9) 221513
undecimal (11) 904a3
duodecimal (12) 64726
tridecimal (13) 48330
tetradecimal (14) 3634a
pentadecimal (15) 29346

As an angle

132,366° = 367 × 360° + 246°
246° ≈ 4.294 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβτξϛʹ
Mayan (base 20)
𝋰·𝋪·𝋲·𝋦
Chinese
一十三萬二千三百六十六
Chinese (financial)
壹拾參萬貳仟參佰陸拾陸
In other modern scripts
Eastern Arabic ١٣٢٣٦٦ Devanagari १३२३६६ Bengali ১৩২৩৬৬ Tamil ௧௩௨௩௬௬ Thai ๑๓๒๓๖๖ Tibetan ༡༣༢༣༦༦ Khmer ១៣២៣៦៦ Lao ໑໓໒໓໖໖ Burmese ၁၃၂၃၆၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132366, here are decompositions:

  • 5 + 132361 = 132366
  • 19 + 132347 = 132366
  • 37 + 132329 = 132366
  • 53 + 132313 = 132366
  • 67 + 132299 = 132366
  • 79 + 132287 = 132366
  • 83 + 132283 = 132366
  • 103 + 132263 = 132366

Showing the first eight; more decompositions exist.

Unicode codepoint
𠔎
CJK Unified Ideograph-2050E
U+2050E
Other letter (Lo)

UTF-8 encoding: F0 A0 94 8E (4 bytes).

Hex color
#02050E
RGB(2, 5, 14)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.5.14.

Address
0.2.5.14
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.5.14

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 132,366 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 132366 first appears in π at position 336,297 of the decimal expansion (the 336,297ordinal-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

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