135,120
135,120 is a composite number, even.
135,120 (one hundred thirty-five thousand one hundred twenty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 5 × 563. Its proper divisors sum to 284,496, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20FD0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 21,531
- Square (n²)
- 18,257,414,400
- Cube (n³)
- 2,466,941,833,728,000
- Divisor count
- 40
- σ(n) — sum of divisors
- 419,616
- φ(n) — Euler's totient
- 35,968
- Sum of prime factors
- 579
Primality
Prime factorization: 2 4 × 3 × 5 × 563
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√135,120 = [367; (1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 6, 4, 1, 10, 1, 2, 7, 2, 1, 1, 8, 1, 1, 2, …)]
Period length 42 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-five thousand one hundred twenty
- Ordinal
- 135120th
- Binary
- 100000111111010000
- Octal
- 407720
- Hexadecimal
- 0x20FD0
- Base64
- Ag/Q
- One's complement
- 4,294,832,175 (32-bit)
- Scientific notation
- 1.3512 × 10⁵
- As a duration
- 135,120 s = 1 day, 13 hours, 32 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρλερκʹ
- Mayan (base 20)
- 𝋰·𝋱·𝋰·𝋠
- Chinese
- 一十三萬五千一百二十
- Chinese (financial)
- 壹拾參萬伍仟壹佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135120, here are decompositions:
- 19 + 135101 = 135120
- 31 + 135089 = 135120
- 43 + 135077 = 135120
- 61 + 135059 = 135120
- 71 + 135049 = 135120
- 101 + 135019 = 135120
- 103 + 135017 = 135120
- 113 + 135007 = 135120
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 BF 90 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.15.208.
- Address
- 0.2.15.208
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.15.208
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 135,120 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 135120 first appears in π at position 181,346 of the decimal expansion (the 181,346ordinal-suffix:th 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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.