131,640
131,640 is a composite number, even.
131,640 (one hundred thirty-one thousand six hundred forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 5 × 1,097. Its proper divisors sum to 263,640, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20238.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 46,131
- Recamán's sequence
- a(229,092) = 131,640
- Square (n²)
- 17,329,089,600
- Cube (n³)
- 2,281,201,354,944,000
- Divisor count
- 32
- σ(n) — sum of divisors
- 395,280
- φ(n) — Euler's totient
- 35,072
- Sum of prime factors
- 1,111
Primality
Prime factorization: 2 3 × 3 × 5 × 1097
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√131,640 = [362; (1, 4, 1, 1, 1, 2, 9, 1, 5, 2, 1, 5, 3, 5, 48, 5, 3, 5, 1, 2, 5, 1, 9, 2, …)]
Period length 30 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-one thousand six hundred forty
- Ordinal
- 131640th
- Binary
- 100000001000111000
- Octal
- 401070
- Hexadecimal
- 0x20238
- Base64
- AgI4
- One's complement
- 4,294,835,655 (32-bit)
- Scientific notation
- 1.3164 × 10⁵
- As a duration
- 131,640 s = 1 day, 12 hours, 34 minutes
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλαχμʹ
- Mayan (base 20)
- 𝋰·𝋩·𝋢·𝋠
- Chinese
- 一十三萬一千六百四十
- Chinese (financial)
- 壹拾參萬壹仟陸佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131640, here are decompositions:
- 13 + 131627 = 131640
- 23 + 131617 = 131640
- 29 + 131611 = 131640
- 59 + 131581 = 131640
- 79 + 131561 = 131640
- 97 + 131543 = 131640
- 139 + 131501 = 131640
- 151 + 131489 = 131640
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 88 B8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.56.
- Address
- 0.2.2.56
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.2.56
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 131,640 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.