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132,396

132,396 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.).

132,396 (one hundred thirty-two thousand three hundred ninety-six) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 11 × 17 × 59. Its proper divisors sum to 230,484, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2052C.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
972
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
693,231
Recamán's sequence
a(227,580) = 132,396
Square (n²)
17,528,700,816
Cube (n³)
2,320,729,873,235,136
Divisor count
48
σ(n) — sum of divisors
362,880
φ(n) — Euler's totient
37,120
Sum of prime factors
94

Primality

Prime factorization: 2 2 × 3 × 11 × 17 × 59

Nearest primes: 132,383 (−13) · 132,403 (+7)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 11 · 12 · 17 · 22 · 33 · 34 · 44 · 51 · 59 · 66 · 68 · 102 · 118 · 132 · 177 · 187 · 204 · 236 · 354 · 374 · 561 · 649 · 708 · 748 · 1003 · 1122 · 1298 · 1947 · 2006 · 2244 · 2596 · 3009 · 3894 · 4012 · 6018 · 7788 · 11033 · 12036 · 22066 · 33099 · 44132 · 66198 (half) · 132396
Aliquot sum (sum of proper divisors): 230,484
Factor pairs (a × b = 132,396)
1 × 132396
2 × 66198
3 × 44132
4 × 33099
6 × 22066
11 × 12036
12 × 11033
17 × 7788
22 × 6018
33 × 4012
34 × 3894
44 × 3009
51 × 2596
59 × 2244
66 × 2006
68 × 1947
102 × 1298
118 × 1122
132 × 1003
177 × 748
187 × 708
204 × 649
236 × 561
354 × 374
First multiples
132,396 · 264,792 (double) · 397,188 · 529,584 · 661,980 · 794,376 · 926,772 · 1,059,168 · 1,191,564 · 1,323,960

Sums & aliquot sequence

As consecutive integers: 44,131 + 44,132 + 44,133 16,546 + 16,547 + … + 16,553 12,031 + 12,032 + … + 12,041 7,780 + 7,781 + … + 7,796
Aliquot sequence: 132,396 230,484 307,340 407,668 305,758 152,882 76,444 62,156 49,564 37,180 55,052 41,296 42,404 31,810 25,466 21,190 20,138 — unresolved within range

Continued fraction of √n

√132,396 = [363; (1, 6, 3, 1, 1, 2, 3, 4, 90, 1, 2, 1, 2, 1, 8, 28, 1, 180, 1, 28, 8, 1, 2, 1, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand three hundred ninety-six
Ordinal
132396th
Binary
100000010100101100
Octal
402454
Hexadecimal
0x2052C
Base64
AgUs
One's complement
4,294,834,899 (32-bit)
Scientific notation
1.32396 × 10⁵
As a duration
132,396 s = 1 day, 12 hours, 46 minutes, 36 seconds
In other bases
ternary (3) 20201121120
quaternary (4) 200110230
quinary (5) 13214041
senary (6) 2500540
septenary (7) 1060665
nonary (9) 221546
undecimal (11) 90520
duodecimal (12) 64750
tridecimal (13) 48354
tetradecimal (14) 3636c
pentadecimal (15) 29366

As an angle

132,396° = 367 × 360° + 276°
276° ≈ 4.817 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβτϟϛʹ
Mayan (base 20)
𝋰·𝋪·𝋳·𝋰
Chinese
一十三萬二千三百九十六
Chinese (financial)
壹拾參萬貳仟參佰玖拾陸
In other modern scripts
Eastern Arabic ١٣٢٣٩٦ Devanagari १३२३९६ Bengali ১৩২৩৯৬ Tamil ௧௩௨௩௯௬ Thai ๑๓๒๓๙๖ Tibetan ༡༣༢༣༩༦ Khmer ១៣២៣៩៦ Lao ໑໓໒໓໙໖ Burmese ၁၃၂၃၉၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132396, here are decompositions:

  • 13 + 132383 = 132396
  • 29 + 132367 = 132396
  • 67 + 132329 = 132396
  • 83 + 132313 = 132396
  • 97 + 132299 = 132396
  • 109 + 132287 = 132396
  • 113 + 132283 = 132396
  • 139 + 132257 = 132396

Showing the first eight; more decompositions exist.

Unicode codepoint
𠔬
CJK Unified Ideograph-2052C
U+2052C
Other letter (Lo)

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

Hex color
#02052C
RGB(2, 5, 44)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.5.44.

Address
0.2.5.44
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.5.44

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 132,396 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°.