133,640
133,640 is a composite number, even.
133,640 (one hundred thirty-three thousand six hundred forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 13 × 257. Its proper divisors sum to 191,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20A08.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 17
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 46,331
- Square (n²)
- 17,859,649,600
- Cube (n³)
- 2,386,763,572,544,000
- Divisor count
- 32
- σ(n) — sum of divisors
- 325,080
- φ(n) — Euler's totient
- 49,152
- Sum of prime factors
- 281
Primality
Prime factorization: 2 3 × 5 × 13 × 257
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,640 = [365; (1, 1, 3, 5, 1, 3, 8, 1, 181, 1, 8, 3, 1, 5, 3, 1, 1, 730)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand six hundred forty
- Ordinal
- 133640th
- Binary
- 100000101000001000
- Octal
- 405010
- Hexadecimal
- 0x20A08
- Base64
- AgoI
- One's complement
- 4,294,833,655 (32-bit)
- Scientific notation
- 1.3364 × 10⁵
- As a duration
- 133,640 s = 1 day, 13 hours, 7 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλγχμʹ
- Mayan (base 20)
- 𝋰·𝋮·𝋢·𝋠
- Chinese
- 一十三萬三千六百四十
- Chinese (financial)
- 壹拾參萬參仟陸佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133640, here are decompositions:
- 7 + 133633 = 133640
- 43 + 133597 = 133640
- 97 + 133543 = 133640
- 193 + 133447 = 133640
- 223 + 133417 = 133640
- 313 + 133327 = 133640
- 337 + 133303 = 133640
- 379 + 133261 = 133640
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 A8 88 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.8.
- Address
- 0.2.10.8
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.10.8
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 133,640 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.