133,164
133,164 is a composite number, even.
133,164 (one hundred thirty-three thousand one hundred sixty-four) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3⁵ × 137. Its proper divisors sum to 218,460, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2082C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 216
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 461,331
- Square (n²)
- 17,732,650,896
- Cube (n³)
- 2,361,350,723,914,944
- Divisor count
- 36
- σ(n) — sum of divisors
- 351,624
- φ(n) — Euler's totient
- 44,064
- Sum of prime factors
- 156
Primality
Prime factorization: 2 2 × 3 5 × 137
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,164 = [364; (1, 10, 1, 28, 3, 1, 1, 1, 1, 2, 6, 1, 90, 2, 1, 2, 1, 8, 3, 1, 1, 6, 1, 2, …)]
Period length 56 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand one hundred sixty-four
- Ordinal
- 133164th
- Binary
- 100000100000101100
- Octal
- 404054
- Hexadecimal
- 0x2082C
- Base64
- Aggs
- One's complement
- 4,294,834,131 (32-bit)
- Scientific notation
- 1.33164 × 10⁵
- As a duration
- 133,164 s = 1 day, 12 hours, 59 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλγρξδʹ
- Mayan (base 20)
- 𝋰·𝋬·𝋲·𝋤
- Chinese
- 一十三萬三千一百六十四
- Chinese (financial)
- 壹拾參萬參仟壹佰陸拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133164, here are decompositions:
- 7 + 133157 = 133164
- 11 + 133153 = 133164
- 43 + 133121 = 133164
- 47 + 133117 = 133164
- 61 + 133103 = 133164
- 67 + 133097 = 133164
- 113 + 133051 = 133164
- 131 + 133033 = 133164
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 A0 AC (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.44.
- Address
- 0.2.8.44
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.8.44
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 133,164 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°.