900

900 is an even composite number composed of three prime numbers multiplied together.

What does the number 900 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 27 divisors.

900 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-seven divisors.

Prime factorization of 900:

2² × 3² × 5²

(2 × 2 × 3 × 3 × 5 × 5)

See below for interesting mathematical facts about the number 900 from the Numbermatics database.

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

How big is 900?

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!

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The information we have on file for 900 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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