133,068
133,068 is a composite number, even.
133,068 (one hundred thirty-three thousand sixty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 13 × 853. Its proper divisors sum to 201,700, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x207CC.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 860,331
- Square (n²)
- 17,707,092,624
- Cube (n³)
- 2,356,247,401,290,432
- Divisor count
- 24
- σ(n) — sum of divisors
- 334,768
- φ(n) — Euler's totient
- 40,896
- Sum of prime factors
- 873
Primality
Prime factorization: 2 2 × 3 × 13 × 853
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,068 = [364; (1, 3, 1, 1, 1, 5, 2, 1, 1, 2, 2, 1, 1, 11, 2, 1, 2, 10, 5, 182, 5, 10, 2, 1, …)]
Period length 40 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand sixty-eight
- Ordinal
- 133068th
- Binary
- 100000011111001100
- Octal
- 403714
- Hexadecimal
- 0x207CC
- Base64
- AgfM
- One's complement
- 4,294,834,227 (32-bit)
- Scientific notation
- 1.33068 × 10⁵
- As a duration
- 133,068 s = 1 day, 12 hours, 57 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλγξηʹ
- Mayan (base 20)
- 𝋰·𝋬·𝋭·𝋨
- Chinese
- 一十三萬三千零六十八
- Chinese (financial)
- 壹拾參萬參仟零陸拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133068, here are decompositions:
- 17 + 133051 = 133068
- 29 + 133039 = 133068
- 79 + 132989 = 133068
- 97 + 132971 = 133068
- 101 + 132967 = 133068
- 107 + 132961 = 133068
- 139 + 132929 = 133068
- 157 + 132911 = 133068
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 9F 8C (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.204.
- Address
- 0.2.7.204
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.7.204
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 133,068 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 133068 first appears in π at position 286,538 of the decimal expansion (the 286,538ordinal-suffix:th 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°.