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132,000

132,000 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.).

132,000 (one hundred thirty-two thousand) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3 × 5³ × 11. Its proper divisors sum to 339,744, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x203A0.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Self Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
6
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
231
Recamán's sequence
a(228,372) = 132,000
Square (n²)
17,424,000,000
Cube (n³)
2,299,968,000,000,000
Divisor count
96
σ(n) — sum of divisors
471,744
φ(n) — Euler's totient
32,000
Sum of prime factors
39

Primality

Prime factorization: 2 5 × 3 × 5 3 × 11

Nearest primes: 131,969 (−31) · 132,001 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 11 · 12 · 15 · 16 · 20 · 22 · 24 · 25 · 30 · 32 · 33 · 40 · 44 · 48 · 50 · 55 · 60 · 66 · 75 · 80 · 88 · 96 · 100 · 110 · 120 · 125 · 132 · 150 · 160 · 165 · 176 · 200 · 220 · 240 · 250 · 264 · 275 · 300 · 330 · 352 · 375 · 400 · 440 · 480 · 500 · 528 · 550 · 600 · 660 · 750 · 800 · 825 · 880 · 1000 · 1056 · 1100 · 1200 · 1320 · 1375 · 1500 · 1650 · 1760 · 2000 · 2200 · 2400 · 2640 · 2750 · 3000 · 3300 · 4000 · 4125 · 4400 · 5280 · 5500 · 6000 · 6600 · 8250 · 8800 · 11000 · 12000 · 13200 · 16500 · 22000 · 26400 · 33000 · 44000 · 66000 (half) · 132000
Aliquot sum (sum of proper divisors): 339,744
Factor pairs (a × b = 132,000)
1 × 132000
2 × 66000
3 × 44000
4 × 33000
5 × 26400
6 × 22000
8 × 16500
10 × 13200
11 × 12000
12 × 11000
15 × 8800
16 × 8250
20 × 6600
22 × 6000
24 × 5500
25 × 5280
30 × 4400
32 × 4125
33 × 4000
40 × 3300
44 × 3000
48 × 2750
50 × 2640
55 × 2400
60 × 2200
66 × 2000
75 × 1760
80 × 1650
88 × 1500
96 × 1375
100 × 1320
110 × 1200
120 × 1100
125 × 1056
132 × 1000
150 × 880
160 × 825
165 × 800
176 × 750
200 × 660
220 × 600
240 × 550
250 × 528
264 × 500
275 × 480
300 × 440
330 × 400
352 × 375
First multiples
132,000 · 264,000 (double) · 396,000 · 528,000 · 660,000 · 792,000 · 924,000 · 1,056,000 · 1,188,000 · 1,320,000

Sums & aliquot sequence

As consecutive integers: 43,999 + 44,000 + 44,001 26,398 + 26,399 + 26,400 + 26,401 + 26,402 11,995 + 11,996 + … + 12,005 8,793 + 8,794 + … + 8,807
Aliquot sequence: 132,000 339,744 552,336 917,808 1,453,320 3,713,400 8,763,480 22,321,080 50,223,600 149,064,736 145,514,444 115,940,596 88,201,356 118,055,604 164,853,484 123,996,420 264,990,024 — unresolved within range

Continued fraction of √n

√132,000 = [363; (3, 6, 1, 13, 1, 28, 7, 1, 1, 6, 1, 2, 1, 2, 1, 28, 3, 181, 3, 28, 1, 2, 1, 2, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand
Ordinal
132000th
Binary
100000001110100000
Octal
401640
Hexadecimal
0x203A0
Base64
AgOg
One's complement
4,294,835,295 (32-bit)
Scientific notation
1.32 × 10⁵
As a duration
132,000 s = 1 day, 12 hours, 40 minutes
In other bases
ternary (3) 20201001220
quaternary (4) 200032200
quinary (5) 13211000
senary (6) 2455040
septenary (7) 1056561
nonary (9) 221056
undecimal (11) 901a0
duodecimal (12) 64480
tridecimal (13) 4810b
tetradecimal (14) 36168
pentadecimal (15) 291a0

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼
Greek (Milesian)
͵ρλβ
Mayan (base 20)
𝋰·𝋪·𝋠·𝋠
Chinese
一十三萬二千
Chinese (financial)
壹拾參萬貳仟
In other modern scripts
Eastern Arabic ١٣٢٠٠٠ Devanagari १३२००० Bengali ১৩২০০০ Tamil ௧௩௨௦௦௦ Thai ๑๓๒๐๐๐ Tibetan ༡༣༢༠༠༠ Khmer ១៣២០០០ Lao ໑໓໒໐໐໐ Burmese ၁၃၂၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132000, here are decompositions:

  • 31 + 131969 = 132000
  • 41 + 131959 = 132000
  • 53 + 131947 = 132000
  • 59 + 131941 = 132000
  • 61 + 131939 = 132000
  • 67 + 131933 = 132000
  • 73 + 131927 = 132000
  • 101 + 131899 = 132000

Showing the first eight; more decompositions exist.

Unicode codepoint
𠎠
CJK Unified Ideograph-203A0
U+203A0
Other letter (Lo)

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

Hex color
#0203A0
RGB(2, 3, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.160.

Address
0.2.3.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.160

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 132,000 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 132000 first appears in π at position 598 of the decimal expansion (the 598ordinal-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°.