133,920
133,920 is a composite number, even.
133,920 (one hundred thirty-three thousand nine hundred twenty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3³ × 5 × 31. Its proper divisors sum to 349,920, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20B20.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 29,331
- Square (n²)
- 17,934,566,400
- Cube (n³)
- 2,401,797,132,288,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 483,840
- φ(n) — Euler's totient
- 34,560
- Sum of prime factors
- 55
Primality
Prime factorization: 2 5 × 3 3 × 5 × 31
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,920 = [365; (1, 19, 3, 80, 1, 181, 1, 80, 3, 19, 1, 730)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand nine hundred twenty
- Ordinal
- 133920th
- Binary
- 100000101100100000
- Octal
- 405440
- Hexadecimal
- 0x20B20
- Base64
- Agsg
- One's complement
- 4,294,833,375 (32-bit)
- Scientific notation
- 1.3392 × 10⁵
- As a duration
- 133,920 s = 1 day, 13 hours, 12 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρλγϡκʹ
- Mayan (base 20)
- 𝋰·𝋮·𝋰·𝋠
- Chinese
- 一十三萬三千九百二十
- Chinese (financial)
- 壹拾參萬參仟玖佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133920, here are decompositions:
- 43 + 133877 = 133920
- 47 + 133873 = 133920
- 67 + 133853 = 133920
- 89 + 133831 = 133920
- 107 + 133813 = 133920
- 109 + 133811 = 133920
- 139 + 133781 = 133920
- 151 + 133769 = 133920
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 AC A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.32.
- Address
- 0.2.11.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.11.32
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 133,920 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°.