135,720
135,720 is a composite number, even.
135,720 (one hundred thirty-five thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3² × 5 × 13 × 29. Its proper divisors sum to 355,680, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21228.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 27,531
- Square (n²)
- 18,419,918,400
- Cube (n³)
- 2,499,951,325,248,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 491,400
- φ(n) — Euler's totient
- 32,256
- Sum of prime factors
- 59
Primality
Prime factorization: 2 3 × 3 2 × 5 × 13 × 29
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√135,720 = [368; (2, 2, 20, 14, 1, 80, 1, 14, 20, 2, 2, 736)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-five thousand seven hundred twenty
- Ordinal
- 135720th
- Binary
- 100001001000101000
- Octal
- 411050
- Hexadecimal
- 0x21228
- Base64
- AhIo
- One's complement
- 4,294,831,575 (32-bit)
- Scientific notation
- 1.3572 × 10⁵
- As a duration
- 135,720 s = 1 day, 13 hours, 42 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρλεψκʹ
- Mayan (base 20)
- 𝋰·𝋳·𝋦·𝋠
- Chinese
- 一十三萬五千七百二十
- Chinese (financial)
- 壹拾參萬伍仟柒佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135720, here are decompositions:
- 19 + 135701 = 135720
- 23 + 135697 = 135720
- 59 + 135661 = 135720
- 71 + 135649 = 135720
- 73 + 135647 = 135720
- 83 + 135637 = 135720
- 97 + 135623 = 135720
- 103 + 135617 = 135720
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 88 A8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.18.40.
- Address
- 0.2.18.40
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.18.40
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 135,720 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°.