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132,090

132,090 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.).

132,090 (one hundred thirty-two thousand ninety) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2 × 3 × 5 × 7 × 17 × 37. Its proper divisors sum to 261,894, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x203FA.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
90,231
Recamán's sequence
a(228,192) = 132,090
Square (n²)
17,447,768,100
Cube (n³)
2,304,675,688,329,000
Divisor count
64
σ(n) — sum of divisors
393,984
φ(n) — Euler's totient
27,648
Sum of prime factors
71

Primality

Prime factorization: 2 × 3 × 5 × 7 × 17 × 37

Nearest primes: 132,071 (−19) · 132,103 (+13)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 5 · 6 · 7 · 10 · 14 · 15 · 17 · 21 · 30 · 34 · 35 · 37 · 42 · 51 · 70 · 74 · 85 · 102 · 105 · 111 · 119 · 170 · 185 · 210 · 222 · 238 · 255 · 259 · 357 · 370 · 510 · 518 · 555 · 595 · 629 · 714 · 777 · 1110 · 1190 · 1258 · 1295 · 1554 · 1785 · 1887 · 2590 · 3145 · 3570 · 3774 · 3885 · 4403 · 6290 · 7770 · 8806 · 9435 · 13209 · 18870 · 22015 · 26418 · 44030 · 66045 (half) · 132090
Aliquot sum (sum of proper divisors): 261,894
Factor pairs (a × b = 132,090)
1 × 132090
2 × 66045
3 × 44030
5 × 26418
6 × 22015
7 × 18870
10 × 13209
14 × 9435
15 × 8806
17 × 7770
21 × 6290
30 × 4403
34 × 3885
35 × 3774
37 × 3570
42 × 3145
51 × 2590
70 × 1887
74 × 1785
85 × 1554
102 × 1295
105 × 1258
111 × 1190
119 × 1110
170 × 777
185 × 714
210 × 629
222 × 595
238 × 555
255 × 518
259 × 510
357 × 370
First multiples
132,090 · 264,180 (double) · 396,270 · 528,360 · 660,450 · 792,540 · 924,630 · 1,056,720 · 1,188,810 · 1,320,900

Sums & aliquot sequence

As consecutive integers: 44,029 + 44,030 + 44,031 33,021 + 33,022 + 33,023 + 33,024 26,416 + 26,417 + 26,418 + 26,419 + 26,420 18,867 + 18,868 + … + 18,873
Aliquot sequence: 132,090 261,894 261,906 261,918 305,610 444,342 454,218 454,230 932,922 1,088,448 1,791,912 2,722,488 4,083,792 6,555,408 10,797,648 17,096,400 43,792,560 — unresolved within range

Continued fraction of √n

√132,090 = [363; (2, 3, 1, 4, 27, 1, 2, 1, 27, 4, 1, 3, 2, 726)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand ninety
Ordinal
132090th
Binary
100000001111111010
Octal
401772
Hexadecimal
0x203FA
Base64
AgP6
One's complement
4,294,835,205 (32-bit)
Scientific notation
1.3209 × 10⁵
As a duration
132,090 s = 1 day, 12 hours, 41 minutes, 30 seconds
In other bases
ternary (3) 20201012020
quaternary (4) 200033322
quinary (5) 13211330
senary (6) 2455310
septenary (7) 1060050
nonary (9) 221166
undecimal (11) 90272
duodecimal (12) 64536
tridecimal (13) 4817a
tetradecimal (14) 361d0
pentadecimal (15) 29210

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλβϟʹ
Mayan (base 20)
𝋰·𝋪·𝋤·𝋪
Chinese
一十三萬二千零九十
Chinese (financial)
壹拾參萬貳仟零玖拾
In other modern scripts
Eastern Arabic ١٣٢٠٩٠ Devanagari १३२०९० Bengali ১৩২০৯০ Tamil ௧௩௨௦௯௦ Thai ๑๓๒๐๙๐ Tibetan ༡༣༢༠༩༠ Khmer ១៣២០៩០ Lao ໑໓໒໐໙໐ Burmese ၁၃၂၀၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132090, here are decompositions:

  • 19 + 132071 = 132090
  • 31 + 132059 = 132090
  • 41 + 132049 = 132090
  • 43 + 132047 = 132090
  • 71 + 132019 = 132090
  • 89 + 132001 = 132090
  • 131 + 131959 = 132090
  • 149 + 131941 = 132090

Showing the first eight; more decompositions exist.

Unicode codepoint
𠏺
CJK Unified Ideograph-203Fa
U+203FA
Other letter (Lo)

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

Hex color
#0203FA
RGB(2, 3, 250)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.250.

Address
0.2.3.250
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.250

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 132,090 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°.