540

Names of 540

• Cardinal: 540 can be written as Five hundred forty.

Scientific notation

• Scientific notation: 5.4 × 10²

Factors of 540

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 10

Divisors of 540

• Number of divisors d(n): 24
• Complete list of divisors:
  1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540
• Sum of all divisors σ(n): 1680
• Sum of proper divisors (its aliquot sum) s(n): 1140
• 540 is an abundant number, because the sum of its proper divisors (1140) is greater than itself. Its abundance is 600

Bases of 540

• Binary: 1000011100₂
• Hexadecimal: 0x21C
• Base-36: F0

Squares and roots of 540

• 540 squared (540²) is 291600
• 540 cubed (540³) is 157464000
• The square root of 540 is 23.2379000773
• The cube root of 540 is 8.1432528501

Scales and comparisons

• 540 seconds is equal to 9 minutes.
• To count from 1 to 540 would take you about four minutes.

  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 540 cubic inches would be around 0.7 feet tall.

Recreational maths with 540

• 540 backwards is 045
• 540 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 540's digits is 9
• More coming soon!