133,968
133,968 is a composite number, even.
133,968 (one hundred thirty-three thousand nine hundred sixty-eight) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 2,791. Its proper divisors sum to 212,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20B50.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 30
- Digit product
- 3,888
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 869,331
- Square (n²)
- 17,947,425,024
- Cube (n³)
- 2,404,380,635,615,232
- Divisor count
- 20
- σ(n) — sum of divisors
- 346,208
- φ(n) — Euler's totient
- 44,640
- Sum of prime factors
- 2,802
Primality
Prime factorization: 2 4 × 3 × 2791
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,968 = [366; (61, 732)]
Period length 2 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand nine hundred sixty-eight
- Ordinal
- 133968th
- Binary
- 100000101101010000
- Octal
- 405520
- Hexadecimal
- 0x20B50
- Base64
- AgtQ
- One's complement
- 4,294,833,327 (32-bit)
- Scientific notation
- 1.33968 × 10⁵
- As a duration
- 133,968 s = 1 day, 13 hours, 12 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλγϡξηʹ
- Mayan (base 20)
- 𝋰·𝋮·𝋲·𝋨
- Chinese
- 一十三萬三千九百六十八
- Chinese (financial)
- 壹拾參萬參仟玖佰陸拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133968, here are decompositions:
- 5 + 133963 = 133968
- 19 + 133949 = 133968
- 137 + 133831 = 133968
- 157 + 133811 = 133968
- 167 + 133801 = 133968
- 199 + 133769 = 133968
- 251 + 133717 = 133968
- 257 + 133711 = 133968
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 AD 90 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.80.
- Address
- 0.2.11.80
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.11.80
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 133,968 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°.