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132,160

132,160 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.).

132,160 (one hundred thirty-two thousand one hundred sixty) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 5 × 7 × 59. Its proper divisors sum to 233,600, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20440.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
61,231
Recamán's sequence
a(228,052) = 132,160
Square (n²)
17,466,265,600
Cube (n³)
2,308,341,661,696,000
Divisor count
56
σ(n) — sum of divisors
365,760
φ(n) — Euler's totient
44,544
Sum of prime factors
83

Primality

Prime factorization: 2 6 × 5 × 7 × 59

Nearest primes: 132,157 (−3) · 132,169 (+9)

Divisors & multiples

All divisors (56)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 28 · 32 · 35 · 40 · 56 · 59 · 64 · 70 · 80 · 112 · 118 · 140 · 160 · 224 · 236 · 280 · 295 · 320 · 413 · 448 · 472 · 560 · 590 · 826 · 944 · 1120 · 1180 · 1652 · 1888 · 2065 · 2240 · 2360 · 3304 · 3776 · 4130 · 4720 · 6608 · 8260 · 9440 · 13216 · 16520 · 18880 · 26432 · 33040 · 66080 (half) · 132160
Aliquot sum (sum of proper divisors): 233,600
Factor pairs (a × b = 132,160)
1 × 132160
2 × 66080
4 × 33040
5 × 26432
7 × 18880
8 × 16520
10 × 13216
14 × 9440
16 × 8260
20 × 6608
28 × 4720
32 × 4130
35 × 3776
40 × 3304
56 × 2360
59 × 2240
64 × 2065
70 × 1888
80 × 1652
112 × 1180
118 × 1120
140 × 944
160 × 826
224 × 590
236 × 560
280 × 472
295 × 448
320 × 413
First multiples
132,160 · 264,320 (double) · 396,480 · 528,640 · 660,800 · 792,960 · 925,120 · 1,057,280 · 1,189,440 · 1,321,600

Sums & aliquot sequence

As consecutive integers: 26,430 + 26,431 + 26,432 + 26,433 + 26,434 18,877 + 18,878 + … + 18,883 3,759 + 3,760 + … + 3,793 2,211 + 2,212 + … + 2,269
Aliquot sequence: 132,160 233,600 351,370 297,278 148,642 91,514 45,760 82,256 81,796 88,577 979 101 1 0 — terminates at zero

Continued fraction of √n

√132,160 = [363; (1, 1, 6, 20, 23, 2, 2, 8, 1, 1, 2, 1, 5, 1, 5, 80, 1, 1, 1, 1, 2, 181, 2, 1, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand one hundred sixty
Ordinal
132160th
Binary
100000010001000000
Octal
402100
Hexadecimal
0x20440
Base64
AgRA
One's complement
4,294,835,135 (32-bit)
Scientific notation
1.3216 × 10⁵
As a duration
132,160 s = 1 day, 12 hours, 42 minutes, 40 seconds
In other bases
ternary (3) 20201021211
quaternary (4) 200101000
quinary (5) 13212120
senary (6) 2455504
septenary (7) 1060210
nonary (9) 221254
undecimal (11) 90326
duodecimal (12) 64594
tridecimal (13) 48202
tetradecimal (14) 36240
pentadecimal (15) 2925a

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλβρξʹ
Mayan (base 20)
𝋰·𝋪·𝋨·𝋠
Chinese
一十三萬二千一百六十
Chinese (financial)
壹拾參萬貳仟壹佰陸拾
In other modern scripts
Eastern Arabic ١٣٢١٦٠ Devanagari १३२१६० Bengali ১৩২১৬০ Tamil ௧௩௨௧௬௦ Thai ๑๓๒๑๖๐ Tibetan ༡༣༢༡༦༠ Khmer ១៣២១៦០ Lao ໑໓໒໑໖໐ Burmese ၁၃၂၁၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132160, here are decompositions:

  • 3 + 132157 = 132160
  • 23 + 132137 = 132160
  • 47 + 132113 = 132160
  • 89 + 132071 = 132160
  • 101 + 132059 = 132160
  • 113 + 132047 = 132160
  • 191 + 131969 = 132160
  • 227 + 131933 = 132160

Showing the first eight; more decompositions exist.

Unicode codepoint
𠑀
CJK Unified Ideograph-20440
U+20440
Other letter (Lo)

UTF-8 encoding: F0 A0 91 80 (4 bytes).

Hex color
#020440
RGB(2, 4, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.64.

Address
0.2.4.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.4.64

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 132,160 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 132160 first appears in π at position 493,717 of the decimal expansion (the 493,717ordinal-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