135,180
135,180 is a composite number, even.
135,180 (one hundred thirty-five thousand one hundred eighty) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 5 × 751. Its proper divisors sum to 275,412, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2100C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 81,531
- Square (n²)
- 18,273,632,400
- Cube (n³)
- 2,470,229,627,832,000
- Divisor count
- 36
- σ(n) — sum of divisors
- 410,592
- φ(n) — Euler's totient
- 36,000
- Sum of prime factors
- 766
Primality
Prime factorization: 2 2 × 3 2 × 5 × 751
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√135,180 = [367; (1, 2, 66, 1, 1, 15, 1, 5, 7, 3, 1, 5, 1, 80, 1, 5, 1, 3, 7, 5, 1, 15, 1, 1, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-five thousand one hundred eighty
- Ordinal
- 135180th
- Binary
- 100001000000001100
- Octal
- 410014
- Hexadecimal
- 0x2100C
- Base64
- AhAM
- One's complement
- 4,294,832,115 (32-bit)
- Scientific notation
- 1.3518 × 10⁵
- As a duration
- 135,180 s = 1 day, 13 hours, 33 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλερπʹ
- Mayan (base 20)
- 𝋰·𝋱·𝋳·𝋠
- Chinese
- 一十三萬五千一百八十
- Chinese (financial)
- 壹拾參萬伍仟壹佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135180, here are decompositions:
- 7 + 135173 = 135180
- 29 + 135151 = 135180
- 61 + 135119 = 135180
- 79 + 135101 = 135180
- 103 + 135077 = 135180
- 131 + 135049 = 135180
- 137 + 135043 = 135180
- 151 + 135029 = 135180
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 80 8C (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.16.12.
- Address
- 0.2.16.12
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.16.12
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 135,180 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°.