132,132
132,132 is a composite number, even.
132,132 (one hundred thirty-two thousand one hundred thirty-two) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3 × 7 × 11² × 13. Its proper divisors sum to 284,956, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20424.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 12
- Digit product
- 36
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 231,231
- Recamán's sequence
- a(228,108) = 132,132
- Square (n²)
- 17,458,865,424
- Cube (n³)
- 2,306,874,806,203,968
- Divisor count
- 72
- σ(n) — sum of divisors
- 417,088
- φ(n) — Euler's totient
- 31,680
- Sum of prime factors
- 49
Primality
Prime factorization: 2 2 × 3 × 7 × 11 2 × 13
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√132,132 = [363; (2, 726)]
Period length 2 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-two thousand one hundred thirty-two
- Ordinal
- 132132nd
- Binary
- 100000010000100100
- Octal
- 402044
- Hexadecimal
- 0x20424
- Base64
- AgQk
- One's complement
- 4,294,835,163 (32-bit)
- Scientific notation
- 1.32132 × 10⁵
- As a duration
- 132,132 s = 1 day, 12 hours, 42 minutes, 12 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρλβρλβʹ
- Mayan (base 20)
- 𝋰·𝋪·𝋦·𝋬
- Chinese
- 一十三萬二千一百三十二
- Chinese (financial)
- 壹拾參萬貳仟壹佰參拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132132, here are decompositions:
- 19 + 132113 = 132132
- 23 + 132109 = 132132
- 29 + 132103 = 132132
- 61 + 132071 = 132132
- 73 + 132059 = 132132
- 83 + 132049 = 132132
- 113 + 132019 = 132132
- 131 + 132001 = 132132
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 90 A4 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.36.
- Address
- 0.2.4.36
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.4.36
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 132,132 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°.