133,760
133,760 is a composite number, even.
133,760 (one hundred thirty-three thousand seven hundred sixty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2⁷ × 5 × 11 × 19. Its proper divisors sum to 233,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20A80.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 20
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 67,331
- Square (n²)
- 17,891,737,600
- Cube (n³)
- 2,393,198,821,376,000
- Divisor count
- 64
- σ(n) — sum of divisors
- 367,200
- φ(n) — Euler's totient
- 46,080
- Sum of prime factors
- 49
Primality
Prime factorization: 2 7 × 5 × 11 × 19
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,760 = [365; (1, 2, 1, 2, 1, 2, 1, 730)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand seven hundred sixty
- Ordinal
- 133760th
- Binary
- 100000101010000000
- Octal
- 405200
- Hexadecimal
- 0x20A80
- Base64
- AgqA
- One's complement
- 4,294,833,535 (32-bit)
- Scientific notation
- 1.3376 × 10⁵
- As a duration
- 133,760 s = 1 day, 13 hours, 9 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλγψξʹ
- Mayan (base 20)
- 𝋰·𝋮·𝋨·𝋠
- Chinese
- 一十三萬三千七百六十
- Chinese (financial)
- 壹拾參萬參仟柒佰陸拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133760, here are decompositions:
- 37 + 133723 = 133760
- 43 + 133717 = 133760
- 103 + 133657 = 133760
- 127 + 133633 = 133760
- 163 + 133597 = 133760
- 241 + 133519 = 133760
- 313 + 133447 = 133760
- 373 + 133387 = 133760
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 AA 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.128.
- Address
- 0.2.10.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.10.128
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 133,760 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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.