133,764
133,764 is a composite number, even.
133,764 (one hundred thirty-three thousand seven hundred sixty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 71 × 157. Its proper divisors sum to 184,764, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20A84.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 1,512
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 467,331
- Square (n²)
- 17,892,807,696
- Cube (n³)
- 2,393,413,528,647,744
- Divisor count
- 24
- σ(n) — sum of divisors
- 318,528
- φ(n) — Euler's totient
- 43,680
- Sum of prime factors
- 235
Primality
Prime factorization: 2 2 × 3 × 71 × 157
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,764 = [365; (1, 2, 1, 4, 3, 2, 1, 1, 4, 1, 20, 12, 1, 3, 1, 1, 1, 5, 2, 2, 13, 1, 14, 1, …)]
Representations
- In words
- one hundred thirty-three thousand seven hundred sixty-four
- Ordinal
- 133764th
- Binary
- 100000101010000100
- Octal
- 405204
- Hexadecimal
- 0x20A84
- Base64
- AgqE
- One's complement
- 4,294,833,531 (32-bit)
- Scientific notation
- 1.33764 × 10⁵
- As a duration
- 133,764 s = 1 day, 13 hours, 9 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλγψξδʹ
- Mayan (base 20)
- 𝋰·𝋮·𝋨·𝋤
- Chinese
- 一十三萬三千七百六十四
- Chinese (financial)
- 壹拾參萬參仟柒佰陸拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133764, here are decompositions:
- 31 + 133733 = 133764
- 41 + 133723 = 133764
- 47 + 133717 = 133764
- 53 + 133711 = 133764
- 67 + 133697 = 133764
- 73 + 133691 = 133764
- 107 + 133657 = 133764
- 131 + 133633 = 133764
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 AA 84 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.132.
- Address
- 0.2.10.132
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.10.132
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 133,764 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 133764 first appears in π at position 146,933 of the decimal expansion (the 146,933ordinal-suffix:rd 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°.