132,960
132,960 is a composite number, even.
132,960 (one hundred thirty-two thousand nine hundred sixty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 5 × 277. Its proper divisors sum to 287,376, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20760.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 69,231
- Square (n²)
- 17,678,361,600
- Cube (n³)
- 2,350,514,958,336,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 420,336
- φ(n) — Euler's totient
- 35,328
- Sum of prime factors
- 295
Primality
Prime factorization: 2 5 × 3 × 5 × 277
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√132,960 = [364; (1, 1, 1, 3, 18, 2, 2, 1, 9, 1, 1, 3, 1, 3, 1, 3, 1, 1, 9, 1, 2, 2, 18, 3, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-two thousand nine hundred sixty
- Ordinal
- 132960th
- Binary
- 100000011101100000
- Octal
- 403540
- Hexadecimal
- 0x20760
- Base64
- Agdg
- One's complement
- 4,294,834,335 (32-bit)
- Scientific notation
- 1.3296 × 10⁵
- As a duration
- 132,960 s = 1 day, 12 hours, 56 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλβϡξʹ
- Mayan (base 20)
- 𝋰·𝋬·𝋨·𝋠
- Chinese
- 一十三萬二千九百六十
- Chinese (financial)
- 壹拾參萬貳仟玖佰陸拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132960, here are decompositions:
- 7 + 132953 = 132960
- 11 + 132949 = 132960
- 13 + 132947 = 132960
- 31 + 132929 = 132960
- 67 + 132893 = 132960
- 73 + 132887 = 132960
- 97 + 132863 = 132960
- 101 + 132859 = 132960
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 9D A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.96.
- Address
- 0.2.7.96
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.7.96
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 132,960 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 132960 first appears in π at position 303,963 of the decimal expansion (the 303,963ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.