135,264
135,264 is a composite number, even.
135,264 (one hundred thirty-five thousand two hundred sixty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 3 × 1,409. Its proper divisors sum to 220,056, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21060.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 720
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 462,531
- Square (n²)
- 18,296,349,696
- Cube (n³)
- 2,474,837,445,279,744
- Divisor count
- 24
- σ(n) — sum of divisors
- 355,320
- φ(n) — Euler's totient
- 45,056
- Sum of prime factors
- 1,422
Primality
Prime factorization: 2 5 × 3 × 1409
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√135,264 = [367; (1, 3, 1, 1, 2, 29, 31, 1, 17, 1, 8, 4, 22, 1, 2, 1, 8, 2, 4, 4, 7, 1, 3, 7, …)]
Period length 56 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-five thousand two hundred sixty-four
- Ordinal
- 135264th
- Binary
- 100001000001100000
- Octal
- 410140
- Hexadecimal
- 0x21060
- Base64
- AhBg
- One's complement
- 4,294,832,031 (32-bit)
- Scientific notation
- 1.35264 × 10⁵
- As a duration
- 135,264 s = 1 day, 13 hours, 34 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλεσξδʹ
- Mayan (base 20)
- 𝋰·𝋲·𝋣·𝋤
- Chinese
- 一十三萬五千二百六十四
- Chinese (financial)
- 壹拾參萬伍仟貳佰陸拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135264, here are decompositions:
- 7 + 135257 = 135264
- 23 + 135241 = 135264
- 43 + 135221 = 135264
- 53 + 135211 = 135264
- 67 + 135197 = 135264
- 71 + 135193 = 135264
- 83 + 135181 = 135264
- 113 + 135151 = 135264
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 81 A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.16.96.
- Address
- 0.2.16.96
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.16.96
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 135,264 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 135264 first appears in π at position 163,820 of the decimal expansion (the 163,820ordinal-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°.