135,680
135,680 is a composite number, even.
135,680 (one hundred thirty-five thousand six hundred eighty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁹ × 5 × 53. Its proper divisors sum to 195,772, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21200.
Interestingness
Properties
Primality
Prime factorization: 2 9 × 5 × 53
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√135,680 = [368; (2, 1, 7, 11, 2, 1, 1, 1, 2, 3, 1, 45, 3, 1, 2, 7, 1, 10, 1, 1, 1, 2, 2, 1, …)]
Period length 52 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-five thousand six hundred eighty
- Ordinal
- 135680th
- Binary
- 100001001000000000
- Octal
- 411000
- Hexadecimal
- 0x21200
- Base64
- AhIA
- One's complement
- 4,294,831,615 (32-bit)
- Scientific notation
- 1.3568 × 10⁵
- As a duration
- 135,680 s = 1 day, 13 hours, 41 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλεχπʹ
- Mayan (base 20)
- 𝋰·𝋳·𝋤·𝋠
- Chinese
- 一十三萬五千六百八十
- Chinese (financial)
- 壹拾參萬伍仟陸佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135680, here are decompositions:
- 19 + 135661 = 135680
- 31 + 135649 = 135680
- 43 + 135637 = 135680
- 67 + 135613 = 135680
- 73 + 135607 = 135680
- 79 + 135601 = 135680
- 109 + 135571 = 135680
- 211 + 135469 = 135680
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 88 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.18.0.
- Address
- 0.2.18.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.18.0
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 135,680 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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.