133,830
133,830 is a composite number, even.
133,830 (one hundred thirty-three thousand eight hundred thirty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 5 × 1,487. Its proper divisors sum to 214,362, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20AC6.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 38,331
- Square (n²)
- 17,910,468,900
- Cube (n³)
- 2,396,958,052,887,000
- Divisor count
- 24
- σ(n) — sum of divisors
- 348,192
- φ(n) — Euler's totient
- 35,664
- Sum of prime factors
- 1,500
Primality
Prime factorization: 2 × 3 2 × 5 × 1487
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,830 = [365; (1, 4, 1, 4, 4, 1, 2, 2, 1, 2, 8, 7, 3, 1, 2, 4, 2, 1, 1, 2, 1, 7, 16, 7, …)]
Period length 46 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand eight hundred thirty
- Ordinal
- 133830th
- Binary
- 100000101011000110
- Octal
- 405306
- Hexadecimal
- 0x20AC6
- Base64
- AgrG
- One's complement
- 4,294,833,465 (32-bit)
- Scientific notation
- 1.3383 × 10⁵
- As a duration
- 133,830 s = 1 day, 13 hours, 10 minutes, 30 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλγωλʹ
- Mayan (base 20)
- 𝋰·𝋮·𝋫·𝋪
- Chinese
- 一十三萬三千八百三十
- Chinese (financial)
- 壹拾參萬參仟捌佰參拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133830, here are decompositions:
- 17 + 133813 = 133830
- 19 + 133811 = 133830
- 29 + 133801 = 133830
- 61 + 133769 = 133830
- 97 + 133733 = 133830
- 107 + 133723 = 133830
- 113 + 133717 = 133830
- 139 + 133691 = 133830
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 AB 86 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.198.
- Address
- 0.2.10.198
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.10.198
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 133,830 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 133830 first appears in π at position 808,051 of the decimal expansion (the 808,051ordinal-suffix:st 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°.