132,792
132,792 is a composite number, even.
132,792 (one hundred thirty-two thousand seven hundred ninety-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 11 × 503. Its proper divisors sum to 230,088, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x206B8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 756
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 297,231
- Square (n²)
- 17,633,715,264
- Cube (n³)
- 2,341,616,317,337,088
- Divisor count
- 32
- σ(n) — sum of divisors
- 362,880
- φ(n) — Euler's totient
- 40,160
- Sum of prime factors
- 523
Primality
Prime factorization: 2 3 × 3 × 11 × 503
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√132,792 = [364; (2, 2, 5, 1, 7, 1, 1, 6, 1, 59, 1, 6, 1, 1, 7, 1, 5, 2, 2, 728)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-two thousand seven hundred ninety-two
- Ordinal
- 132792nd
- Binary
- 100000011010111000
- Octal
- 403270
- Hexadecimal
- 0x206B8
- Base64
- Aga4
- One's complement
- 4,294,834,503 (32-bit)
- Scientific notation
- 1.32792 × 10⁵
- As a duration
- 132,792 s = 1 day, 12 hours, 53 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρλβψϟβʹ
- Mayan (base 20)
- 𝋰·𝋫·𝋳·𝋬
- Chinese
- 一十三萬二千七百九十二
- Chinese (financial)
- 壹拾參萬貳仟柒佰玖拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132792, here are decompositions:
- 29 + 132763 = 132792
- 31 + 132761 = 132792
- 41 + 132751 = 132792
- 43 + 132749 = 132792
- 53 + 132739 = 132792
- 71 + 132721 = 132792
- 83 + 132709 = 132792
- 103 + 132689 = 132792
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 9A B8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.184.
- Address
- 0.2.6.184
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.6.184
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 132,792 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°.