180

Names of 180

• Cardinal: 180 can be written as One hundred eighty.

Scientific notation

• Scientific notation: 1.8 × 10²

Factors of 180

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 10

Divisors of 180

• Number of divisors d(n): 18
• Complete list of divisors:
  1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180
• Sum of all divisors σ(n): 546
• Sum of proper divisors (its aliquot sum) s(n): 366
• 180 is an abundant number, because the sum of its proper divisors (366) is greater than itself. Its abundance is 186

Bases of 180

• Binary: 10110100₂
• Hexadecimal: 0xB4
• Base-36: 50

Squares and roots of 180

• 180 squared (180²) is 32400
• 180 cubed (180³) is 5832000
• The square root of 180 is 13.4164078650
• The cube root of 180 is 5.6462161733

Scales and comparisons

• 180 seconds is equal to 3 minutes.
• To count from 1 to 180 would take you about thirty seconds.

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 180 cubic inches would be around 0.5 feet tall.

Recreational maths with 180

• 180 backwards is 081
• 180 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 180's digits is 9
• More coming soon!