132,384
132,384 is a composite number, even.
132,384 (one hundred thirty-two thousand three hundred eighty-four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 7 × 197. Its proper divisors sum to 266,784, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20520.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 576
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 483,231
- Recamán's sequence
- a(227,604) = 132,384
- Square (n²)
- 17,525,523,456
- Cube (n³)
- 2,320,098,897,199,104
- Divisor count
- 48
- σ(n) — sum of divisors
- 399,168
- φ(n) — Euler's totient
- 37,632
- Sum of prime factors
- 217
Primality
Prime factorization: 2 5 × 3 × 7 × 197
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√132,384 = [363; (1, 5, 2, 181, 2, 5, 1, 726)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-two thousand three hundred eighty-four
- Ordinal
- 132384th
- Binary
- 100000010100100000
- Octal
- 402440
- Hexadecimal
- 0x20520
- Base64
- AgUg
- One's complement
- 4,294,834,911 (32-bit)
- Scientific notation
- 1.32384 × 10⁵
- As a duration
- 132,384 s = 1 day, 12 hours, 46 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλβτπδʹ
- Mayan (base 20)
- 𝋰·𝋪·𝋳·𝋤
- Chinese
- 一十三萬二千三百八十四
- Chinese (financial)
- 壹拾參萬貳仟參佰捌拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132384, here are decompositions:
- 13 + 132371 = 132384
- 17 + 132367 = 132384
- 23 + 132361 = 132384
- 37 + 132347 = 132384
- 53 + 132331 = 132384
- 71 + 132313 = 132384
- 97 + 132287 = 132384
- 101 + 132283 = 132384
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 94 A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.5.32.
- Address
- 0.2.5.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.5.32
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 132,384 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 132384 first appears in π at position 785,570 of the decimal expansion (the 785,570ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.