132,968
132,968 is a composite number, even.
132,968 (one hundred thirty-two thousand nine hundred sixty-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 11 × 1,511. Its proper divisors sum to 139,192, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20768.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 29
- Digit product
- 2,592
- Digital root
- 2
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 869,231
- Square (n²)
- 17,680,489,024
- Cube (n³)
- 2,350,939,264,543,232
- Divisor count
- 16
- σ(n) — sum of divisors
- 272,160
- φ(n) — Euler's totient
- 60,400
- Sum of prime factors
- 1,528
Primality
Prime factorization: 2 3 × 11 × 1511
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√132,968 = [364; (1, 1, 1, 5, 4, 1, 1, 1, 7, 1, 1, 1, 4, 5, 1, 1, 1, 728)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-two thousand nine hundred sixty-eight
- Ordinal
- 132968th
- Binary
- 100000011101101000
- Octal
- 403550
- Hexadecimal
- 0x20768
- Base64
- Agdo
- One's complement
- 4,294,834,327 (32-bit)
- Scientific notation
- 1.32968 × 10⁵
- As a duration
- 132,968 s = 1 day, 12 hours, 56 minutes, 8 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλβϡξηʹ
- Mayan (base 20)
- 𝋰·𝋬·𝋨·𝋨
- Chinese
- 一十三萬二千九百六十八
- Chinese (financial)
- 壹拾參萬貳仟玖佰陸拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132968, here are decompositions:
- 7 + 132961 = 132968
- 19 + 132949 = 132968
- 109 + 132859 = 132968
- 151 + 132817 = 132968
- 211 + 132757 = 132968
- 229 + 132739 = 132968
- 271 + 132697 = 132968
- 307 + 132661 = 132968
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 9D A8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.104.
- Address
- 0.2.7.104
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.7.104
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 132,968 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 132968 first appears in π at position 141,643 of the decimal expansion (the 141,643ordinal-suffix:rd 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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.