132,972
132,972 is a composite number, even.
132,972 (one hundred thirty-two thousand nine hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 7 × 1,583. Its proper divisors sum to 221,844, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2076C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 756
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 279,231
- Square (n²)
- 17,681,552,784
- Cube (n³)
- 2,351,151,436,794,048
- Divisor count
- 24
- σ(n) — sum of divisors
- 354,816
- φ(n) — Euler's totient
- 37,968
- Sum of prime factors
- 1,597
Primality
Prime factorization: 2 2 × 3 × 7 × 1583
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√132,972 = [364; (1, 1, 1, 7, 1, 1, 1, 1, 1, 3, 2, 1, 14, 1, 4, 1, 1, 1, 2, 2, 3, 1, 11, 1, …)]
Representations
- In words
- one hundred thirty-two thousand nine hundred seventy-two
- Ordinal
- 132972nd
- Binary
- 100000011101101100
- Octal
- 403554
- Hexadecimal
- 0x2076C
- Base64
- Agds
- One's complement
- 4,294,834,323 (32-bit)
- Scientific notation
- 1.32972 × 10⁵
- As a duration
- 132,972 s = 1 day, 12 hours, 56 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρλβϡοβʹ
- Mayan (base 20)
- 𝋰·𝋬·𝋨·𝋬
- Chinese
- 一十三萬二千九百七十二
- Chinese (financial)
- 壹拾參萬貳仟玖佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132972, here are decompositions:
- 5 + 132967 = 132972
- 11 + 132961 = 132972
- 19 + 132953 = 132972
- 23 + 132949 = 132972
- 43 + 132929 = 132972
- 61 + 132911 = 132972
- 79 + 132893 = 132972
- 109 + 132863 = 132972
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 9D AC (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.108.
- Address
- 0.2.7.108
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.7.108
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 132,972 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 132972 first appears in π at position 635,405 of the decimal expansion (the 635,405ordinal-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°.