132,768
132,768 is a composite number, even.
132,768 (one hundred thirty-two thousand seven hundred sixty-eight) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2⁵ × 3² × 461. Its proper divisors sum to 245,610, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x206A0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 2,016
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 867,231
- Square (n²)
- 17,627,341,824
- Cube (n³)
- 2,340,346,919,288,832
- Divisor count
- 36
- σ(n) — sum of divisors
- 378,378
- φ(n) — Euler's totient
- 44,160
- Sum of prime factors
- 477
Primality
Prime factorization: 2 5 × 3 2 × 461
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√132,768 = [364; (2, 1, 2, 9, 1, 1, 1, 1, 4, 2, 31, 4, 3, 1, 1, 3, 4, 1, 3, 1, 1, 4, 4, 1, …)]
Representations
- In words
- one hundred thirty-two thousand seven hundred sixty-eight
- Ordinal
- 132768th
- Binary
- 100000011010100000
- Octal
- 403240
- Hexadecimal
- 0x206A0
- Base64
- Agag
- One's complement
- 4,294,834,527 (32-bit)
- Scientific notation
- 1.32768 × 10⁵
- As a duration
- 132,768 s = 1 day, 12 hours, 52 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλβψξηʹ
- Mayan (base 20)
- 𝋰·𝋫·𝋲·𝋨
- Chinese
- 一十三萬二千七百六十八
- Chinese (financial)
- 壹拾參萬貳仟柒佰陸拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132768, here are decompositions:
- 5 + 132763 = 132768
- 7 + 132761 = 132768
- 11 + 132757 = 132768
- 17 + 132751 = 132768
- 19 + 132749 = 132768
- 29 + 132739 = 132768
- 47 + 132721 = 132768
- 59 + 132709 = 132768
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 9A A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.160.
- Address
- 0.2.6.160
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.6.160
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 132,768 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 132768 first appears in π at position 272,180 of the decimal expansion (the 272,180ordinal-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°.