133,820
133,820 is a composite number, even.
133,820 (one hundred thirty-three thousand eight hundred twenty) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 6,691. Its proper divisors sum to 147,244, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20ABC.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 17
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 28,331
- Square (n²)
- 17,907,792,400
- Cube (n³)
- 2,396,420,778,968,000
- Divisor count
- 12
- σ(n) — sum of divisors
- 281,064
- φ(n) — Euler's totient
- 53,520
- Sum of prime factors
- 6,700
Primality
Prime factorization: 2 2 × 5 × 6691
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,820 = [365; (1, 4, 2, 1, 1, 1, 1, 1, 65, 1, 8, 3, 1, 1, 1, 1, 1, 3, 1, 5, 3, 1, 4, 11, …)]
Representations
- In words
- one hundred thirty-three thousand eight hundred twenty
- Ordinal
- 133820th
- Binary
- 100000101010111100
- Octal
- 405274
- Hexadecimal
- 0x20ABC
- Base64
- Agq8
- One's complement
- 4,294,833,475 (32-bit)
- Scientific notation
- 1.3382 × 10⁵
- As a duration
- 133,820 s = 1 day, 13 hours, 10 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρλγωκʹ
- Mayan (base 20)
- 𝋰·𝋮·𝋫·𝋠
- Chinese
- 一十三萬三千八百二十
- Chinese (financial)
- 壹拾參萬參仟捌佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133820, here are decompositions:
- 7 + 133813 = 133820
- 19 + 133801 = 133820
- 97 + 133723 = 133820
- 103 + 133717 = 133820
- 109 + 133711 = 133820
- 151 + 133669 = 133820
- 163 + 133657 = 133820
- 223 + 133597 = 133820
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 AA BC (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.188.
- Address
- 0.2.10.188
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.10.188
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 133,820 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 133820 first appears in π at position 48,983 of the decimal expansion (the 48,983ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.