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132,380

132,380 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.).

132,380 (one hundred thirty-two thousand three hundred eighty) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 6,619. Its proper divisors sum to 145,660, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2051C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
83,231
Recamán's sequence
a(227,612) = 132,380
Square (n²)
17,524,464,400
Cube (n³)
2,319,888,597,272,000
Divisor count
12
σ(n) — sum of divisors
278,040
φ(n) — Euler's totient
52,944
Sum of prime factors
6,628

Primality

Prime factorization: 2 2 × 5 × 6619

Nearest primes: 132,371 (−9) · 132,383 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 6619 · 13238 · 26476 · 33095 · 66190 (half) · 132380
Aliquot sum (sum of proper divisors): 145,660
Factor pairs (a × b = 132,380)
1 × 132380
2 × 66190
4 × 33095
5 × 26476
10 × 13238
20 × 6619
First multiples
132,380 · 264,760 (double) · 397,140 · 529,520 · 661,900 · 794,280 · 926,660 · 1,059,040 · 1,191,420 · 1,323,800

Sums & aliquot sequence

As consecutive integers: 26,474 + 26,475 + 26,476 + 26,477 + 26,478 16,544 + 16,545 + … + 16,551 3,290 + 3,291 + … + 3,329
Aliquot sequence: 132,380 145,660 160,268 123,652 104,268 139,052 104,296 91,274 48,694 25,394 12,700 15,076 11,314 5,660 6,268 4,708 4,364 — unresolved within range

Continued fraction of √n

√132,380 = [363; (1, 5, 3, 1, 1, 1, 4, 17, 1, 1, 7, 6, 1, 6, 2, 1, 8, 1, 8, 3, 5, 1, 1, 4, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand three hundred eighty
Ordinal
132380th
Binary
100000010100011100
Octal
402434
Hexadecimal
0x2051C
Base64
AgUc
One's complement
4,294,834,915 (32-bit)
Scientific notation
1.3238 × 10⁵
As a duration
132,380 s = 1 day, 12 hours, 46 minutes, 20 seconds
In other bases
ternary (3) 20201120222
quaternary (4) 200110130
quinary (5) 13214010
senary (6) 2500512
septenary (7) 1060643
nonary (9) 221528
undecimal (11) 90506
duodecimal (12) 64738
tridecimal (13) 48341
tetradecimal (14) 3635a
pentadecimal (15) 29355

As an angle

132,380° = 367 × 360° + 260°
260° ≈ 4.538 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλβτπʹ
Mayan (base 20)
𝋰·𝋪·𝋳·𝋠
Chinese
一十三萬二千三百八十
Chinese (financial)
壹拾參萬貳仟參佰捌拾
In other modern scripts
Eastern Arabic ١٣٢٣٨٠ Devanagari १३२३८० Bengali ১৩২৩৮০ Tamil ௧௩௨௩௮௦ Thai ๑๓๒๓๘๐ Tibetan ༡༣༢༣༨༠ Khmer ១៣២៣៨០ Lao ໑໓໒໓໘໐ Burmese ၁၃၂၃၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132380, here are decompositions:

  • 13 + 132367 = 132380
  • 19 + 132361 = 132380
  • 67 + 132313 = 132380
  • 97 + 132283 = 132380
  • 139 + 132241 = 132380
  • 151 + 132229 = 132380
  • 181 + 132199 = 132380
  • 211 + 132169 = 132380

Showing the first eight; more decompositions exist.

Unicode codepoint
𠔜
CJK Unified Ideograph-2051C
U+2051C
Other letter (Lo)

UTF-8 encoding: F0 A0 94 9C (4 bytes).

Hex color
#02051C
RGB(2, 5, 28)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.5.28.

Address
0.2.5.28
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.5.28

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 132,380 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 132380 first appears in π at position 597,767 of the decimal expansion (the 597,767ordinal-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

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