900

Names of 900

• Cardinal: 900 can be written as Nine hundred.

Scientific notation

• Scientific notation: 9 × 10²

Factors of 900

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

Divisors of 900

• Number of divisors d(n): 27
• Complete list of divisors:
  1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900
• Sum of all divisors σ(n): 2821
• Sum of proper divisors (its aliquot sum) s(n): 1921
• 900 is an abundant number, because the sum of its proper divisors (1921) is greater than itself. Its abundance is 1021

Bases of 900

• Binary: 1110000100₂
• Hexadecimal: 0x384
• Base-36: P0

Squares and roots of 900

• 900 squared (900²) is 810000
• 900 cubed (900³) is 729000000
• 900 is a perfect square number. Its square root is 30
• The cube root of 900 is 9.6548938461

Scales and comparisons

• 900 seconds is equal to 15 minutes.
• To count from 1 to 900 would take you about seven 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 900 cubic inches would be around 0.8 feet tall.

Recreational maths with 900

• 900 backwards is 009
• 900 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 900's digits is 9
• More coming soon!