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132,912

132,912 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.).

132,912 (one hundred thirty-two thousand nine hundred twelve) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 13 × 71. Its proper divisors sum to 273,312, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20730.

Abundant Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
108
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
219,231
Square (n²)
17,665,599,744
Cube (n³)
2,347,970,193,174,528
Divisor count
60
σ(n) — sum of divisors
406,224
φ(n) — Euler's totient
40,320
Sum of prime factors
98

Primality

Prime factorization: 2 4 × 3 2 × 13 × 71

Nearest primes: 132,911 (−1) · 132,929 (+17)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 13 · 16 · 18 · 24 · 26 · 36 · 39 · 48 · 52 · 71 · 72 · 78 · 104 · 117 · 142 · 144 · 156 · 208 · 213 · 234 · 284 · 312 · 426 · 468 · 568 · 624 · 639 · 852 · 923 · 936 · 1136 · 1278 · 1704 · 1846 · 1872 · 2556 · 2769 · 3408 · 3692 · 5112 · 5538 · 7384 · 8307 · 10224 · 11076 · 14768 · 16614 · 22152 · 33228 · 44304 · 66456 (half) · 132912
Aliquot sum (sum of proper divisors): 273,312
Factor pairs (a × b = 132,912)
1 × 132912
2 × 66456
3 × 44304
4 × 33228
6 × 22152
8 × 16614
9 × 14768
12 × 11076
13 × 10224
16 × 8307
18 × 7384
24 × 5538
26 × 5112
36 × 3692
39 × 3408
48 × 2769
52 × 2556
71 × 1872
72 × 1846
78 × 1704
104 × 1278
117 × 1136
142 × 936
144 × 923
156 × 852
208 × 639
213 × 624
234 × 568
284 × 468
312 × 426
First multiples
132,912 · 265,824 (double) · 398,736 · 531,648 · 664,560 · 797,472 · 930,384 · 1,063,296 · 1,196,208 · 1,329,120

Sums & aliquot sequence

As consecutive integers: 44,303 + 44,304 + 44,305 14,764 + 14,765 + … + 14,772 10,218 + 10,219 + … + 10,230 4,138 + 4,139 + … + 4,169
Aliquot sequence: 132,912 273,312 575,172 991,848 2,102,712 3,154,128 5,351,280 12,754,704 20,323,536 35,922,864 57,095,488 56,798,112 113,598,240 295,367,520 830,721,696 1,705,960,704 3,509,934,848 — unresolved within range

Continued fraction of √n

√132,912 = [364; (1, 1, 3, 45, 3, 1, 1, 728)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand nine hundred twelve
Ordinal
132912th
Binary
100000011100110000
Octal
403460
Hexadecimal
0x20730
Base64
Agcw
One's complement
4,294,834,383 (32-bit)
Scientific notation
1.32912 × 10⁵
As a duration
132,912 s = 1 day, 12 hours, 55 minutes, 12 seconds
In other bases
ternary (3) 20202022200
quaternary (4) 200130300
quinary (5) 13223122
senary (6) 2503200
septenary (7) 1062333
nonary (9) 222280
undecimal (11) 9094a
duodecimal (12) 64b00
tridecimal (13) 48660
tetradecimal (14) 3661a
pentadecimal (15) 295ac

As an angle

132,912° = 369 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ρλβϡιβʹ
Mayan (base 20)
𝋰·𝋬·𝋥·𝋬
Chinese
一十三萬二千九百一十二
Chinese (financial)
壹拾參萬貳仟玖佰壹拾貳
In other modern scripts
Eastern Arabic ١٣٢٩١٢ Devanagari १३२९१२ Bengali ১৩২৯১২ Tamil ௧௩௨௯௧௨ Thai ๑๓๒๙๑๒ Tibetan ༡༣༢༩༡༢ Khmer ១៣២៩១២ Lao ໑໓໒໙໑໒ Burmese ၁၃၂၉၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132912, here are decompositions:

  • 19 + 132893 = 132912
  • 53 + 132859 = 132912
  • 61 + 132851 = 132912
  • 79 + 132833 = 132912
  • 149 + 132763 = 132912
  • 151 + 132761 = 132912
  • 163 + 132749 = 132912
  • 173 + 132739 = 132912

Showing the first eight; more decompositions exist.

Unicode codepoint
𠜰
CJK Unified Ideograph-20730
U+20730
Other letter (Lo)

UTF-8 encoding: F0 A0 9C B0 (4 bytes).

Hex color
#020730
RGB(2, 7, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.48.

Address
0.2.7.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.48

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 132,912 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 132912 first appears in π at position 947,505 of the decimal expansion (the 947,505ordinal-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°.