132,744
132,744 is a composite number, even.
132,744 (one hundred thirty-two thousand seven hundred forty-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 5,531. Its proper divisors sum to 199,176, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20688.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 672
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 447,231
- Square (n²)
- 17,620,969,536
- Cube (n³)
- 2,339,077,980,086,784
- Divisor count
- 16
- σ(n) — sum of divisors
- 331,920
- φ(n) — Euler's totient
- 44,240
- Sum of prime factors
- 5,540
Primality
Prime factorization: 2 3 × 3 × 5531
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√132,744 = [364; (2, 1, 14, 1, 5, 7, 2, 1, 10, 29, 18, 1, 1, 1, 5, 1, 9, 2, 2, 2, 1, 1, 1, 1, …)]
Representations
- In words
- one hundred thirty-two thousand seven hundred forty-four
- Ordinal
- 132744th
- Binary
- 100000011010001000
- Octal
- 403210
- Hexadecimal
- 0x20688
- Base64
- AgaI
- One's complement
- 4,294,834,551 (32-bit)
- Scientific notation
- 1.32744 × 10⁵
- As a duration
- 132,744 s = 1 day, 12 hours, 52 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλβψμδʹ
- Mayan (base 20)
- 𝋰·𝋫·𝋱·𝋤
- Chinese
- 一十三萬二千七百四十四
- Chinese (financial)
- 壹拾參萬貳仟柒佰肆拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132744, here are decompositions:
- 5 + 132739 = 132744
- 23 + 132721 = 132744
- 37 + 132707 = 132744
- 43 + 132701 = 132744
- 47 + 132697 = 132744
- 83 + 132661 = 132744
- 97 + 132647 = 132744
- 107 + 132637 = 132744
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 9A 88 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.136.
- Address
- 0.2.6.136
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.6.136
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 132,744 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 132744 first appears in π at position 529,077 of the decimal expansion (the 529,077ordinal-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°.