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132,440

132,440 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.).

132,440 (one hundred thirty-two thousand four hundred forty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 5 × 7 × 11 × 43. Its proper divisors sum to 247,720, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20558.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
44,231
Square (n²)
17,540,353,600
Cube (n³)
2,323,044,430,784,000
Divisor count
64
σ(n) — sum of divisors
380,160
φ(n) — Euler's totient
40,320
Sum of prime factors
72

Primality

Prime factorization: 2 3 × 5 × 7 × 11 × 43

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

Divisors & multiples

All divisors (64)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 11 · 14 · 20 · 22 · 28 · 35 · 40 · 43 · 44 · 55 · 56 · 70 · 77 · 86 · 88 · 110 · 140 · 154 · 172 · 215 · 220 · 280 · 301 · 308 · 344 · 385 · 430 · 440 · 473 · 602 · 616 · 770 · 860 · 946 · 1204 · 1505 · 1540 · 1720 · 1892 · 2365 · 2408 · 3010 · 3080 · 3311 · 3784 · 4730 · 6020 · 6622 · 9460 · 12040 · 13244 · 16555 · 18920 · 26488 · 33110 · 66220 (half) · 132440
Aliquot sum (sum of proper divisors): 247,720
Factor pairs (a × b = 132,440)
1 × 132440
2 × 66220
4 × 33110
5 × 26488
7 × 18920
8 × 16555
10 × 13244
11 × 12040
14 × 9460
20 × 6622
22 × 6020
28 × 4730
35 × 3784
40 × 3311
43 × 3080
44 × 3010
55 × 2408
56 × 2365
70 × 1892
77 × 1720
86 × 1540
88 × 1505
110 × 1204
140 × 946
154 × 860
172 × 770
215 × 616
220 × 602
280 × 473
301 × 440
308 × 430
344 × 385
First multiples
132,440 · 264,880 (double) · 397,320 · 529,760 · 662,200 · 794,640 · 927,080 · 1,059,520 · 1,191,960 · 1,324,400

Sums & aliquot sequence

As consecutive integers: 26,486 + 26,487 + 26,488 + 26,489 + 26,490 18,917 + 18,918 + … + 18,923 12,035 + 12,036 + … + 12,045 8,270 + 8,271 + … + 8,285
Aliquot sequence: 132,440 247,720 361,400 550,000 903,032 1,020,568 1,020,632 893,068 811,964 643,924 482,950 485,738 309,142 154,574 116,242 103,214 51,610 — unresolved within range

Continued fraction of √n

√132,440 = [363; (1, 11, 1, 726)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand four hundred forty
Ordinal
132440th
Binary
100000010101011000
Octal
402530
Hexadecimal
0x20558
Base64
AgVY
One's complement
4,294,834,855 (32-bit)
Scientific notation
1.3244 × 10⁵
As a duration
132,440 s = 1 day, 12 hours, 47 minutes, 20 seconds
In other bases
ternary (3) 20201200012
quaternary (4) 200111120
quinary (5) 13214230
senary (6) 2501052
septenary (7) 1061060
nonary (9) 221605
undecimal (11) 90560
duodecimal (12) 64788
tridecimal (13) 48389
tetradecimal (14) 363a0
pentadecimal (15) 29395
Palindromic in base 6

As an angle

132,440° = 367 × 360° + 320°
320° ≈ 5.585 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλβυμʹ
Mayan (base 20)
𝋰·𝋫·𝋢·𝋠
Chinese
一十三萬二千四百四十
Chinese (financial)
壹拾參萬貳仟肆佰肆拾
In other modern scripts
Eastern Arabic ١٣٢٤٤٠ Devanagari १३२४४० Bengali ১৩২৪৪০ Tamil ௧௩௨௪௪௦ Thai ๑๓๒๔๔๐ Tibetan ༡༣༢༤༤༠ Khmer ១៣២៤៤០ Lao ໑໓໒໔໔໐ Burmese ၁၃၂၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132440, here are decompositions:

  • 3 + 132437 = 132440
  • 19 + 132421 = 132440
  • 31 + 132409 = 132440
  • 37 + 132403 = 132440
  • 73 + 132367 = 132440
  • 79 + 132361 = 132440
  • 109 + 132331 = 132440
  • 127 + 132313 = 132440

Showing the first eight; more decompositions exist.

Unicode codepoint
𠕘
CJK Unified Ideograph-20558
U+20558
Other letter (Lo)

UTF-8 encoding: F0 A0 95 98 (4 bytes).

Hex color
#020558
RGB(2, 5, 88)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.5.88.

Address
0.2.5.88
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.5.88

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 132,440 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.