133,380
133,380 is a composite number, even.
133,380 (one hundred thirty-three thousand three hundred eighty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2² × 3³ × 5 × 13 × 19. Its proper divisors sum to 337,020, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20904.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 83,331
- Recamán's sequence
- a(35,420) = 133,380
- Square (n²)
- 17,790,224,400
- Cube (n³)
- 2,372,860,130,472,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 470,400
- φ(n) — Euler's totient
- 31,104
- Sum of prime factors
- 50
Primality
Prime factorization: 2 2 × 3 3 × 5 × 13 × 19
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,380 = [365; (4, 1, 2, 2, 5, 1, 6, 1, 5, 2, 2, 1, 4, 730)]
Period length 14 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand three hundred eighty
- Ordinal
- 133380th
- Binary
- 100000100100000100
- Octal
- 404404
- Hexadecimal
- 0x20904
- Base64
- AgkE
- One's complement
- 4,294,833,915 (32-bit)
- Scientific notation
- 1.3338 × 10⁵
- As a duration
- 133,380 s = 1 day, 13 hours, 3 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλγτπʹ
- Mayan (base 20)
- 𝋰·𝋭·𝋩·𝋠
- Chinese
- 一十三萬三千三百八十
- Chinese (financial)
- 壹拾參萬參仟參佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133380, here are decompositions:
- 29 + 133351 = 133380
- 31 + 133349 = 133380
- 43 + 133337 = 133380
- 53 + 133327 = 133380
- 59 + 133321 = 133380
- 61 + 133319 = 133380
- 97 + 133283 = 133380
- 101 + 133279 = 133380
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 A4 84 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.4.
- Address
- 0.2.9.4
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.9.4
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 133,380 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°.