133,980
133,980 is a composite number, even.
133,980 (one hundred thirty-three thousand nine hundred eighty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2² × 3 × 5 × 7 × 11 × 29. Its proper divisors sum to 349,860, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20B5C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 89,331
- Square (n²)
- 17,950,640,400
- Cube (n³)
- 2,405,026,800,792,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 483,840
- φ(n) — Euler's totient
- 26,880
- Sum of prime factors
- 59
Primality
Prime factorization: 2 2 × 3 × 5 × 7 × 11 × 29
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,980 = [366; (30, 1, 1, 182, 1, 1, 30, 732)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand nine hundred eighty
- Ordinal
- 133980th
- Binary
- 100000101101011100
- Octal
- 405534
- Hexadecimal
- 0x20B5C
- Base64
- Agtc
- One's complement
- 4,294,833,315 (32-bit)
- Scientific notation
- 1.3398 × 10⁵
- As a duration
- 133,980 s = 1 day, 13 hours, 13 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλγϡπʹ
- Mayan (base 20)
- 𝋰·𝋮·𝋳·𝋠
- Chinese
- 一十三萬三千九百八十
- Chinese (financial)
- 壹拾參萬參仟玖佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133980, here are decompositions:
- 13 + 133967 = 133980
- 17 + 133963 = 133980
- 31 + 133949 = 133980
- 61 + 133919 = 133980
- 103 + 133877 = 133980
- 107 + 133873 = 133980
- 127 + 133853 = 133980
- 137 + 133843 = 133980
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 AD 9C (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.92.
- Address
- 0.2.11.92
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.11.92
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 133,980 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°.