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132,096

132,096 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.).

132,096 (one hundred thirty-two thousand ninety-six) is an even 6-digit number. It is a composite number with 44 divisors, and factors as 2¹⁰ × 3 × 43. Its proper divisors sum to 228,176, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20400.

Abundant Number Arithmetic Number Evil Number Gapful Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
690,231
Recamán's sequence
a(228,180) = 132,096
Square (n²)
17,449,353,216
Cube (n³)
2,304,989,762,420,736
Divisor count
44
σ(n) — sum of divisors
360,272
φ(n) — Euler's totient
43,008
Sum of prime factors
66

Primality

Prime factorization: 2 10 × 3 × 43

Nearest primes: 132,071 (−25) · 132,103 (+7)

Divisors & multiples

All divisors (44)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 43 · 48 · 64 · 86 · 96 · 128 · 129 · 172 · 192 · 256 · 258 · 344 · 384 · 512 · 516 · 688 · 768 · 1024 · 1032 · 1376 · 1536 · 2064 · 2752 · 3072 · 4128 · 5504 · 8256 · 11008 · 16512 · 22016 · 33024 · 44032 · 66048 (half) · 132096
Aliquot sum (sum of proper divisors): 228,176
Factor pairs (a × b = 132,096)
1 × 132096
2 × 66048
3 × 44032
4 × 33024
6 × 22016
8 × 16512
12 × 11008
16 × 8256
24 × 5504
32 × 4128
43 × 3072
48 × 2752
64 × 2064
86 × 1536
96 × 1376
128 × 1032
129 × 1024
172 × 768
192 × 688
256 × 516
258 × 512
344 × 384
First multiples
132,096 · 264,192 (double) · 396,288 · 528,384 · 660,480 · 792,576 · 924,672 · 1,056,768 · 1,188,864 · 1,320,960

Sums & aliquot sequence

As consecutive integers: 44,031 + 44,032 + 44,033 3,051 + 3,052 + … + 3,093 960 + 961 + … + 1,088
Aliquot sequence: 132,096 228,176 248,356 201,464 176,296 154,274 77,140 124,460 181,972 191,212 191,268 453,852 858,004 858,060 2,206,260 5,970,636 13,248,564 — unresolved within range

Continued fraction of √n

√132,096 = [363; (2, 4, 1, 1, 18, 11, 3, 3, 2, 3, 1, 6, 2, 44, 1, 28, 10, 4, 1, 10, 1, 1, 4, 7, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand ninety-six
Ordinal
132096th
Binary
100000010000000000
Octal
402000
Hexadecimal
0x20400
Base64
AgQA
One's complement
4,294,835,199 (32-bit)
Scientific notation
1.32096 × 10⁵
As a duration
132,096 s = 1 day, 12 hours, 41 minutes, 36 seconds
In other bases
ternary (3) 20201012110
quaternary (4) 200100000
quinary (5) 13211341
senary (6) 2455320
septenary (7) 1060056
nonary (9) 221173
undecimal (11) 90278
duodecimal (12) 64540
tridecimal (13) 48183
tetradecimal (14) 361d6
pentadecimal (15) 29216

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβϟϛʹ
Mayan (base 20)
𝋰·𝋪·𝋤·𝋰
Chinese
一十三萬二千零九十六
Chinese (financial)
壹拾參萬貳仟零玖拾陸
In other modern scripts
Eastern Arabic ١٣٢٠٩٦ Devanagari १३२०९६ Bengali ১৩২০৯৬ Tamil ௧௩௨௦௯௬ Thai ๑๓๒๐๙๖ Tibetan ༡༣༢༠༩༦ Khmer ១៣២០៩៦ Lao ໑໓໒໐໙໖ Burmese ၁၃၂၀၉၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132096, here are decompositions:

  • 37 + 132059 = 132096
  • 47 + 132049 = 132096
  • 127 + 131969 = 132096
  • 137 + 131959 = 132096
  • 149 + 131947 = 132096
  • 157 + 131939 = 132096
  • 163 + 131933 = 132096
  • 197 + 131899 = 132096

Showing the first eight; more decompositions exist.

Unicode codepoint
𠐀
CJK Unified Ideograph-20400
U+20400
Other letter (Lo)

UTF-8 encoding: F0 A0 90 80 (4 bytes).

Hex color
#020400
RGB(2, 4, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.0.

Address
0.2.4.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.4.0

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 132,096 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°.