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132,408

132,408 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.).

132,408 (one hundred thirty-two thousand four hundred eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3³ × 613. Its proper divisors sum to 235,992, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20538.

Abundant Number Evil Number Gapful Number Happy Number Harshad / Niven Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
804,231
Recamán's sequence
a(227,556) = 132,408
Square (n²)
17,531,878,464
Cube (n³)
2,321,360,963,661,312
Divisor count
32
σ(n) — sum of divisors
368,400
φ(n) — Euler's totient
44,064
Sum of prime factors
628

Primality

Prime factorization: 2 3 × 3 3 × 613

Nearest primes: 132,403 (−5) · 132,409 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 27 · 36 · 54 · 72 · 108 · 216 · 613 · 1226 · 1839 · 2452 · 3678 · 4904 · 5517 · 7356 · 11034 · 14712 · 16551 · 22068 · 33102 · 44136 · 66204 (half) · 132408
Aliquot sum (sum of proper divisors): 235,992
Factor pairs (a × b = 132,408)
1 × 132408
2 × 66204
3 × 44136
4 × 33102
6 × 22068
8 × 16551
9 × 14712
12 × 11034
18 × 7356
24 × 5517
27 × 4904
36 × 3678
54 × 2452
72 × 1839
108 × 1226
216 × 613
First multiples
132,408 · 264,816 (double) · 397,224 · 529,632 · 662,040 · 794,448 · 926,856 · 1,059,264 · 1,191,672 · 1,324,080

Sums & aliquot sequence

As consecutive integers: 44,135 + 44,136 + 44,137 14,708 + 14,709 + … + 14,716 8,268 + 8,269 + … + 8,283 4,891 + 4,892 + … + 4,917
Aliquot sequence: 132,408 235,992 354,048 590,280 1,180,920 2,639,400 5,797,560 11,595,480 25,871,880 53,855,160 107,710,680 295,189,800 619,900,440 1,282,800,360 2,686,588,440 5,373,177,240 11,089,340,520 — keeps growing

Continued fraction of √n

√132,408 = [363; (1, 7, 3, 1, 2, 5, 1, 1, 1, 6, 1, 5, 1, 6, 1, 1, 1, 5, 2, 1, 3, 7, 1, 726)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand four hundred eight
Ordinal
132408th
Binary
100000010100111000
Octal
402470
Hexadecimal
0x20538
Base64
AgU4
One's complement
4,294,834,887 (32-bit)
Scientific notation
1.32408 × 10⁵
As a duration
132,408 s = 1 day, 12 hours, 46 minutes, 48 seconds
In other bases
ternary (3) 20201122000
quaternary (4) 200110320
quinary (5) 13214113
senary (6) 2501000
septenary (7) 1061013
nonary (9) 221560
undecimal (11) 90531
duodecimal (12) 64760
tridecimal (13) 48363
tetradecimal (14) 3637a
pentadecimal (15) 29373

As an angle

132,408° = 367 × 360° + 288°
288° ≈ 5.027 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβυηʹ
Mayan (base 20)
𝋰·𝋫·𝋠·𝋨
Chinese
一十三萬二千四百零八
Chinese (financial)
壹拾參萬貳仟肆佰零捌
In other modern scripts
Eastern Arabic ١٣٢٤٠٨ Devanagari १३२४०८ Bengali ১৩২৪০৮ Tamil ௧௩௨௪௦௮ Thai ๑๓๒๔๐๘ Tibetan ༡༣༢༤༠༨ Khmer ១៣២៤០៨ Lao ໑໓໒໔໐໘ Burmese ၁၃၂၄၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132408, here are decompositions:

  • 5 + 132403 = 132408
  • 37 + 132371 = 132408
  • 41 + 132367 = 132408
  • 47 + 132361 = 132408
  • 61 + 132347 = 132408
  • 79 + 132329 = 132408
  • 109 + 132299 = 132408
  • 151 + 132257 = 132408

Showing the first eight; more decompositions exist.

Unicode codepoint
𠔸
CJK Unified Ideograph-20538
U+20538
Other letter (Lo)

UTF-8 encoding: F0 A0 94 B8 (4 bytes).

Hex color
#020538
RGB(2, 5, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.5.56.

Address
0.2.5.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.5.56

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 132,408 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°.