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132,464

132,464 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.).

132,464 (one hundred thirty-two thousand four hundred sixty-four) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 17 × 487. Its proper divisors sum to 139,840, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20570.

Abundant Number Evil Number Happy Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
576
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
464,231
Square (n²)
17,546,711,296
Cube (n³)
2,324,307,565,113,344
Divisor count
20
σ(n) — sum of divisors
272,304
φ(n) — Euler's totient
62,208
Sum of prime factors
512

Primality

Prime factorization: 2 4 × 17 × 487

Nearest primes: 132,439 (−25) · 132,469 (+5)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 17 · 34 · 68 · 136 · 272 · 487 · 974 · 1948 · 3896 · 7792 · 8279 · 16558 · 33116 · 66232 (half) · 132464
Aliquot sum (sum of proper divisors): 139,840
Factor pairs (a × b = 132,464)
1 × 132464
2 × 66232
4 × 33116
8 × 16558
16 × 8279
17 × 7792
34 × 3896
68 × 1948
136 × 974
272 × 487
First multiples
132,464 · 264,928 (double) · 397,392 · 529,856 · 662,320 · 794,784 · 927,248 · 1,059,712 · 1,192,176 · 1,324,640

Sums & aliquot sequence

As consecutive integers: 7,784 + 7,785 + … + 7,800 4,124 + 4,125 + … + 4,155 29 + 30 + … + 515
Aliquot sequence: 132,464 139,840 225,920 315,700 559,244 559,300 940,604 974,596 974,652 1,697,220 4,350,780 11,132,100 33,309,500 52,792,516 55,781,180 88,396,420 126,767,228 — unresolved within range

Continued fraction of √n

√132,464 = [363; (1, 21, 1, 2, 1, 44, 1, 2, 1, 21, 1, 726)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand four hundred sixty-four
Ordinal
132464th
Binary
100000010101110000
Octal
402560
Hexadecimal
0x20570
Base64
AgVw
One's complement
4,294,834,831 (32-bit)
Scientific notation
1.32464 × 10⁵
As a duration
132,464 s = 1 day, 12 hours, 47 minutes, 44 seconds
In other bases
ternary (3) 20201201002
quaternary (4) 200111300
quinary (5) 13214324
senary (6) 2501132
septenary (7) 1061123
nonary (9) 221632
undecimal (11) 90582
duodecimal (12) 647a8
tridecimal (13) 483a7
tetradecimal (14) 363ba
pentadecimal (15) 293ae

As an angle

132,464° = 367 × 360° + 344°
344° ≈ 6.004 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβυξδʹ
Mayan (base 20)
𝋰·𝋫·𝋣·𝋤
Chinese
一十三萬二千四百六十四
Chinese (financial)
壹拾參萬貳仟肆佰陸拾肆
In other modern scripts
Eastern Arabic ١٣٢٤٦٤ Devanagari १३२४६४ Bengali ১৩২৪৬৪ Tamil ௧௩௨௪௬௪ Thai ๑๓๒๔๖๔ Tibetan ༡༣༢༤༦༤ Khmer ១៣២៤៦៤ Lao ໑໓໒໔໖໔ Burmese ၁၃၂၄၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132464, here are decompositions:

  • 43 + 132421 = 132464
  • 61 + 132403 = 132464
  • 97 + 132367 = 132464
  • 103 + 132361 = 132464
  • 151 + 132313 = 132464
  • 181 + 132283 = 132464
  • 223 + 132241 = 132464
  • 307 + 132157 = 132464

Showing the first eight; more decompositions exist.

Unicode codepoint
𠕰
CJK Unified Ideograph-20570
U+20570
Other letter (Lo)

UTF-8 encoding: F0 A0 95 B0 (4 bytes).

Hex color
#020570
RGB(2, 5, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.5.112.

Address
0.2.5.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.5.112

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 132,464 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.