131,460
131,460 is a composite number, even.
131,460 (one hundred thirty-one thousand four hundred sixty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 7 × 313. Its proper divisors sum to 290,556, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20184.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 64,131
- Recamán's sequence
- a(229,452) = 131,460
- Square (n²)
- 17,281,731,600
- Cube (n³)
- 2,271,856,436,136,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 422,016
- φ(n) — Euler's totient
- 29,952
- Sum of prime factors
- 332
Primality
Prime factorization: 2 2 × 3 × 5 × 7 × 313
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√131,460 = [362; (1, 1, 2, 1, 6, 1, 5, 4, 2, 10, 1, 7, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 20, 2, …)]
Period length 46 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-one thousand four hundred sixty
- Ordinal
- 131460th
- Binary
- 100000000110000100
- Octal
- 400604
- Hexadecimal
- 0x20184
- Base64
- AgGE
- One's complement
- 4,294,835,835 (32-bit)
- Scientific notation
- 1.3146 × 10⁵
- As a duration
- 131,460 s = 1 day, 12 hours, 31 minutes
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλαυξʹ
- Mayan (base 20)
- 𝋰·𝋨·𝋭·𝋠
- Chinese
- 一十三萬一千四百六十
- Chinese (financial)
- 壹拾參萬壹仟肆佰陸拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131460, here are decompositions:
- 11 + 131449 = 131460
- 13 + 131447 = 131460
- 19 + 131441 = 131460
- 23 + 131437 = 131460
- 29 + 131431 = 131460
- 47 + 131413 = 131460
- 79 + 131381 = 131460
- 89 + 131371 = 131460
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 86 84 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.132.
- Address
- 0.2.1.132
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.1.132
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 131,460 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 131460 first appears in π at position 87,631 of the decimal expansion (the 87,631ordinal-suffix:st 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°.