133,536
133,536 is a composite number, even.
133,536 (one hundred thirty-three thousand five hundred thirty-six) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 13 × 107. Its proper divisors sum to 247,488, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x209A0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 810
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 635,331
- Square (n²)
- 17,831,863,296
- Cube (n³)
- 2,381,195,697,094,656
- Divisor count
- 48
- σ(n) — sum of divisors
- 381,024
- φ(n) — Euler's totient
- 40,704
- Sum of prime factors
- 133
Primality
Prime factorization: 2 5 × 3 × 13 × 107
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,536 = [365; (2, 2, 1, 6, 1, 1, 2, 6, 1, 1, 3, 3, 2, 4, 7, 2, 7, 4, 2, 3, 3, 1, 1, 6, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand five hundred thirty-six
- Ordinal
- 133536th
- Binary
- 100000100110100000
- Octal
- 404640
- Hexadecimal
- 0x209A0
- Base64
- Agmg
- One's complement
- 4,294,833,759 (32-bit)
- Scientific notation
- 1.33536 × 10⁵
- As a duration
- 133,536 s = 1 day, 13 hours, 5 minutes, 36 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλγφλϛʹ
- Mayan (base 20)
- 𝋰·𝋭·𝋰·𝋰
- Chinese
- 一十三萬三千五百三十六
- Chinese (financial)
- 壹拾參萬參仟伍佰參拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133536, here are decompositions:
- 17 + 133519 = 133536
- 37 + 133499 = 133536
- 43 + 133493 = 133536
- 89 + 133447 = 133536
- 97 + 133439 = 133536
- 149 + 133387 = 133536
- 157 + 133379 = 133536
- 199 + 133337 = 133536
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 A6 A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.160.
- Address
- 0.2.9.160
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.9.160
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 133,536 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°.