135,024
135,024 is a composite number, even.
135,024 (one hundred thirty-five thousand twenty-four) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 29 × 97. Its proper divisors sum to 229,536, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20F70.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 420,531
- Recamán's sequence
- a(36,280) = 135,024
- Square (n²)
- 18,231,480,576
- Cube (n³)
- 2,461,687,433,293,824
- Divisor count
- 40
- σ(n) — sum of divisors
- 364,560
- φ(n) — Euler's totient
- 43,008
- Sum of prime factors
- 137
Primality
Prime factorization: 2 4 × 3 × 29 × 97
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√135,024 = [367; (2, 5, 5, 14, 1, 4, 7, 2, 4, 1, 3, 1, 1, 2, 2, 28, 1, 44, 1, 28, 2, 2, 1, 1, …)]
Period length 36 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-five thousand twenty-four
- Ordinal
- 135024th
- Binary
- 100000111101110000
- Octal
- 407560
- Hexadecimal
- 0x20F70
- Base64
- Ag9w
- One's complement
- 4,294,832,271 (32-bit)
- Scientific notation
- 1.35024 × 10⁵
- As a duration
- 135,024 s = 1 day, 13 hours, 30 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλεκδʹ
- Mayan (base 20)
- 𝋰·𝋱·𝋫·𝋤
- Chinese
- 一十三萬五千零二十四
- Chinese (financial)
- 壹拾參萬伍仟零貳拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135024, here are decompositions:
- 5 + 135019 = 135024
- 7 + 135017 = 135024
- 17 + 135007 = 135024
- 73 + 134951 = 135024
- 101 + 134923 = 135024
- 103 + 134921 = 135024
- 107 + 134917 = 135024
- 137 + 134887 = 135024
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 BD B0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.15.112.
- Address
- 0.2.15.112
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.15.112
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 135,024 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 135024 first appears in π at position 998,196 of the decimal expansion (the 998,196ordinal-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°.