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132,468

132,468 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.).

132,468 (one hundred thirty-two thousand four hundred sixty-eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 7 × 19 × 83. Its proper divisors sum to 243,852, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20574.

Abundant Number Arithmetic Number Cube-Free Happy Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,152
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
864,231
Square (n²)
17,547,771,024
Cube (n³)
2,324,518,132,007,232
Divisor count
48
σ(n) — sum of divisors
376,320
φ(n) — Euler's totient
35,424
Sum of prime factors
116

Primality

Prime factorization: 2 2 × 3 × 7 × 19 × 83

Nearest primes: 132,439 (−29) · 132,469 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 19 · 21 · 28 · 38 · 42 · 57 · 76 · 83 · 84 · 114 · 133 · 166 · 228 · 249 · 266 · 332 · 399 · 498 · 532 · 581 · 798 · 996 · 1162 · 1577 · 1596 · 1743 · 2324 · 3154 · 3486 · 4731 · 6308 · 6972 · 9462 · 11039 · 18924 · 22078 · 33117 · 44156 · 66234 (half) · 132468
Aliquot sum (sum of proper divisors): 243,852
Factor pairs (a × b = 132,468)
1 × 132468
2 × 66234
3 × 44156
4 × 33117
6 × 22078
7 × 18924
12 × 11039
14 × 9462
19 × 6972
21 × 6308
28 × 4731
38 × 3486
42 × 3154
57 × 2324
76 × 1743
83 × 1596
84 × 1577
114 × 1162
133 × 996
166 × 798
228 × 581
249 × 532
266 × 498
332 × 399
First multiples
132,468 · 264,936 (double) · 397,404 · 529,872 · 662,340 · 794,808 · 927,276 · 1,059,744 · 1,192,212 · 1,324,680

Sums & aliquot sequence

As consecutive integers: 44,155 + 44,156 + 44,157 18,921 + 18,922 + … + 18,927 16,555 + 16,556 + … + 16,562 6,963 + 6,964 + … + 6,981
Aliquot sequence: 132,468 243,852 406,644 711,564 1,239,924 2,187,276 4,097,268 7,958,412 19,077,828 36,871,548 61,885,572 105,953,148 205,948,260 517,392,540 1,276,239,300 3,272,782,044 5,487,141,156 — unresolved within range

Continued fraction of √n

√132,468 = [363; (1, 24, 1, 726)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand four hundred sixty-eight
Ordinal
132468th
Binary
100000010101110100
Octal
402564
Hexadecimal
0x20574
Base64
AgV0
One's complement
4,294,834,827 (32-bit)
Scientific notation
1.32468 × 10⁵
As a duration
132,468 s = 1 day, 12 hours, 47 minutes, 48 seconds
In other bases
ternary (3) 20201201020
quaternary (4) 200111310
quinary (5) 13214333
senary (6) 2501140
septenary (7) 1061130
nonary (9) 221636
undecimal (11) 90586
duodecimal (12) 647b0
tridecimal (13) 483ab
tetradecimal (14) 363c0
pentadecimal (15) 293b3

As an angle

132,468° = 367 × 360° + 348°
348° ≈ 6.074 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβυξηʹ
Mayan (base 20)
𝋰·𝋫·𝋣·𝋨
Chinese
一十三萬二千四百六十八
Chinese (financial)
壹拾參萬貳仟肆佰陸拾捌
In other modern scripts
Eastern Arabic ١٣٢٤٦٨ Devanagari १३२४६८ Bengali ১৩২৪৬৮ Tamil ௧௩௨௪௬௮ Thai ๑๓๒๔๖๘ Tibetan ༡༣༢༤༦༨ Khmer ១៣២៤៦៨ Lao ໑໓໒໔໖໘ Burmese ၁၃၂၄၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132468, here are decompositions:

  • 29 + 132439 = 132468
  • 31 + 132437 = 132468
  • 47 + 132421 = 132468
  • 59 + 132409 = 132468
  • 97 + 132371 = 132468
  • 101 + 132367 = 132468
  • 107 + 132361 = 132468
  • 137 + 132331 = 132468

Showing the first eight; more decompositions exist.

Unicode codepoint
𠕴
CJK Unified Ideograph-20574
U+20574
Other letter (Lo)

UTF-8 encoding: F0 A0 95 B4 (4 bytes).

Hex color
#020574
RGB(2, 5, 116)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.5.116.

Address
0.2.5.116
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.5.116

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 132,468 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°.