131,840
131,840 is a composite number, even.
131,840 (one hundred thirty-one thousand eight hundred forty) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2⁸ × 5 × 103. Its proper divisors sum to 187,024, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20300.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 17
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 48,131
- Recamán's sequence
- a(228,692) = 131,840
- Square (n²)
- 17,381,785,600
- Cube (n³)
- 2,291,614,613,504,000
- Divisor count
- 36
- σ(n) — sum of divisors
- 318,864
- φ(n) — Euler's totient
- 52,224
- Sum of prime factors
- 124
Primality
Prime factorization: 2 8 × 5 × 103
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√131,840 = [363; (10, 4, 2, 2, 3, 2, 1, 1, 5, 3, 1, 2, 1, 16, 1, 44, 2, 3, 1, 14, 23, 2, 1, 3, …)]
Representations
- In words
- one hundred thirty-one thousand eight hundred forty
- Ordinal
- 131840th
- Binary
- 100000001100000000
- Octal
- 401400
- Hexadecimal
- 0x20300
- Base64
- AgMA
- One's complement
- 4,294,835,455 (32-bit)
- Scientific notation
- 1.3184 × 10⁵
- As a duration
- 131,840 s = 1 day, 12 hours, 37 minutes, 20 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλαωμʹ
- Mayan (base 20)
- 𝋰·𝋩·𝋬·𝋠
- Chinese
- 一十三萬一千八百四十
- Chinese (financial)
- 壹拾參萬壹仟捌佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131840, here are decompositions:
- 3 + 131837 = 131840
- 43 + 131797 = 131840
- 61 + 131779 = 131840
- 97 + 131743 = 131840
- 109 + 131731 = 131840
- 127 + 131713 = 131840
- 139 + 131701 = 131840
- 199 + 131641 = 131840
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 8C 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.0.
- Address
- 0.2.3.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.3.0
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 131,840 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 131840 first appears in π at position 589,572 of the decimal expansion (the 589,572ordinal-suffix:nd 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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.