132,720
132,720 is a composite number, even.
132,720 (one hundred thirty-two thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 7 × 79. Its proper divisors sum to 343,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20670.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 27,231
- Square (n²)
- 17,614,598,400
- Cube (n³)
- 2,337,809,499,648,000
- Divisor count
- 80
- σ(n) — sum of divisors
- 476,160
- φ(n) — Euler's totient
- 29,952
- Sum of prime factors
- 102
Primality
Prime factorization: 2 4 × 3 × 5 × 7 × 79
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√132,720 = [364; (3, 3, 1, 44, 1, 3, 3, 728)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-two thousand seven hundred twenty
- Ordinal
- 132720th
- Binary
- 100000011001110000
- Octal
- 403160
- Hexadecimal
- 0x20670
- Base64
- AgZw
- One's complement
- 4,294,834,575 (32-bit)
- Scientific notation
- 1.3272 × 10⁵
- As a duration
- 132,720 s = 1 day, 12 hours, 52 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρλβψκʹ
- Mayan (base 20)
- 𝋰·𝋫·𝋰·𝋠
- Chinese
- 一十三萬二千七百二十
- Chinese (financial)
- 壹拾參萬貳仟柒佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132720, here are decompositions:
- 11 + 132709 = 132720
- 13 + 132707 = 132720
- 19 + 132701 = 132720
- 23 + 132697 = 132720
- 31 + 132689 = 132720
- 41 + 132679 = 132720
- 53 + 132667 = 132720
- 59 + 132661 = 132720
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 99 B0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.112.
- Address
- 0.2.6.112
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.6.112
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 132,720 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 132720 first appears in π at position 240,026 of the decimal expansion (the 240,026ordinal-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°.