131,760
131,760 is a composite number, even.
131,760 (one hundred thirty-one thousand seven hundred sixty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3³ × 5 × 61. Its proper divisors sum to 329,520, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x202B0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 67,131
- Recamán's sequence
- a(228,852) = 131,760
- Square (n²)
- 17,360,697,600
- Cube (n³)
- 2,287,445,515,776,000
- Divisor count
- 80
- σ(n) — sum of divisors
- 461,280
- φ(n) — Euler's totient
- 34,560
- Sum of prime factors
- 83
Primality
Prime factorization: 2 4 × 3 3 × 5 × 61
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√131,760 = [362; (1, 79, 1, 1, 1, 79, 1, 724)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-one thousand seven hundred sixty
- Ordinal
- 131760th
- Binary
- 100000001010110000
- Octal
- 401260
- Hexadecimal
- 0x202B0
- Base64
- AgKw
- One's complement
- 4,294,835,535 (32-bit)
- Scientific notation
- 1.3176 × 10⁵
- As a duration
- 131,760 s = 1 day, 12 hours, 36 minutes
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλαψξʹ
- Mayan (base 20)
- 𝋰·𝋩·𝋨·𝋠
- Chinese
- 一十三萬一千七百六十
- Chinese (financial)
- 壹拾參萬壹仟柒佰陸拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131760, here are decompositions:
- 11 + 131749 = 131760
- 17 + 131743 = 131760
- 29 + 131731 = 131760
- 47 + 131713 = 131760
- 53 + 131707 = 131760
- 59 + 131701 = 131760
- 73 + 131687 = 131760
- 89 + 131671 = 131760
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 8A B0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.176.
- Address
- 0.2.2.176
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.2.176
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 131,760 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 131760 first appears in π at position 421,900 of the decimal expansion (the 421,900ordinal-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°.