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132,192

132,192 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.).

132,192 (one hundred thirty-two thousand one hundred ninety-two) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 3⁵ × 17. Its proper divisors sum to 280,584, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20460.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Weird Number Zuckerman Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
108
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
291,231
Recamán's sequence
a(227,988) = 132,192
Square (n²)
17,474,724,864
Cube (n³)
2,310,018,829,221,888
Divisor count
72
σ(n) — sum of divisors
412,776
φ(n) — Euler's totient
41,472
Sum of prime factors
42

Primality

Prime factorization: 2 5 × 3 5 × 17

Nearest primes: 132,173 (−19) · 132,199 (+7)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 17 · 18 · 24 · 27 · 32 · 34 · 36 · 48 · 51 · 54 · 68 · 72 · 81 · 96 · 102 · 108 · 136 · 144 · 153 · 162 · 204 · 216 · 243 · 272 · 288 · 306 · 324 · 408 · 432 · 459 · 486 · 544 · 612 · 648 · 816 · 864 · 918 · 972 · 1224 · 1296 · 1377 · 1632 · 1836 · 1944 · 2448 · 2592 · 2754 · 3672 · 3888 · 4131 · 4896 · 5508 · 7344 · 7776 · 8262 · 11016 · 14688 · 16524 · 22032 · 33048 · 44064 · 66096 (half) · 132192
Aliquot sum (sum of proper divisors): 280,584
Factor pairs (a × b = 132,192)
1 × 132192
2 × 66096
3 × 44064
4 × 33048
6 × 22032
8 × 16524
9 × 14688
12 × 11016
16 × 8262
17 × 7776
18 × 7344
24 × 5508
27 × 4896
32 × 4131
34 × 3888
36 × 3672
48 × 2754
51 × 2592
54 × 2448
68 × 1944
72 × 1836
81 × 1632
96 × 1377
102 × 1296
108 × 1224
136 × 972
144 × 918
153 × 864
162 × 816
204 × 648
216 × 612
243 × 544
272 × 486
288 × 459
306 × 432
324 × 408
First multiples
132,192 · 264,384 (double) · 396,576 · 528,768 · 660,960 · 793,152 · 925,344 · 1,057,536 · 1,189,728 · 1,321,920

Sums & aliquot sequence

As consecutive integers: 44,063 + 44,064 + 44,065 14,684 + 14,685 + … + 14,692 7,768 + 7,769 + … + 7,784 4,883 + 4,884 + … + 4,909
Aliquot sequence: 132,192 280,584 507,126 507,138 507,150 1,146,762 1,337,928 2,044,632 3,067,008 6,467,952 10,883,864 9,858,856 11,267,384 10,540,936 12,602,744 17,637,256 23,802,884 — unresolved within range

Continued fraction of √n

√132,192 = [363; (1, 1, 2, 1, 1, 5, 2, 2, 1, 8, 3, 1, 3, 19, 1, 13, 1, 8, 22, 1, 1, 1, 1, 2, …)]

Representations

In words
one hundred thirty-two thousand one hundred ninety-two
Ordinal
132192nd
Binary
100000010001100000
Octal
402140
Hexadecimal
0x20460
Base64
AgRg
One's complement
4,294,835,103 (32-bit)
Scientific notation
1.32192 × 10⁵
As a duration
132,192 s = 1 day, 12 hours, 43 minutes, 12 seconds
In other bases
ternary (3) 20201100000
quaternary (4) 200101200
quinary (5) 13212232
senary (6) 2500000
septenary (7) 1060254
nonary (9) 221300
undecimal (11) 90355
duodecimal (12) 64600
tridecimal (13) 48228
tetradecimal (14) 36264
pentadecimal (15) 2927c

As an angle

132,192° = 367 × 360° + 72°
72° ≈ 1.257 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλβρϟβʹ
Mayan (base 20)
𝋰·𝋪·𝋩·𝋬
Chinese
一十三萬二千一百九十二
Chinese (financial)
壹拾參萬貳仟壹佰玖拾貳
In other modern scripts
Eastern Arabic ١٣٢١٩٢ Devanagari १३२१९२ Bengali ১৩২১৯২ Tamil ௧௩௨௧௯௨ Thai ๑๓๒๑๙๒ Tibetan ༡༣༢༡༩༢ Khmer ១៣២១៩២ Lao ໑໓໒໑໙໒ Burmese ၁၃၂၁၉၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132192, here are decompositions:

  • 19 + 132173 = 132192
  • 23 + 132169 = 132192
  • 41 + 132151 = 132192
  • 79 + 132113 = 132192
  • 83 + 132109 = 132192
  • 89 + 132103 = 132192
  • 173 + 132019 = 132192
  • 191 + 132001 = 132192

Showing the first eight; more decompositions exist.

Unicode codepoint
𠑠
CJK Unified Ideograph-20460
U+20460
Other letter (Lo)

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

Hex color
#020460
RGB(2, 4, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.96.

Address
0.2.4.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.4.96

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 132,192 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 132192 first appears in π at position 575,130 of the decimal expansion (the 575,130ordinal-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°.