90400

90,400 is an even composite number composed of three prime numbers multiplied together.

What does the number 90400 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 36 divisors.

90400 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-six divisors.

Prime factorization of 90400:

2⁵ × 5² × 113

(2 × 2 × 2 × 2 × 2 × 5 × 5 × 113)

See below for interesting mathematical facts about the number 90400 from the Numbermatics database.

Names of 90400

Cardinal: 90400 can be written as Ninety thousand, four hundred.

Scientific notation

Scientific notation: 9.04 × 10⁴

Factors of 90400

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 8
Sum of prime factors: 120

Divisors of 90400

Number of divisors d(n): 36
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 80 100 113 160 200 226 400 452 565 800 904 1130 1808 2260 2825 3616 4520 5650 9040 11300 18080 22600 45200 90400
Sum of all divisors σ(n): 222642
Sum of proper divisors (its aliquot sum) s(n): 132242
90400 is an abundant number, because the sum of its proper divisors (132242) is greater than itself. Its abundance is 41842

Bases of 90400

Binary: 10110000100100000₂
Hexadecimal: 0x16120
Base-36: 1XR4

Squares and roots of 90400

90400 squared (90400²) is 8172160000
90400 cubed (90400³) is 738763264000000
The square root of 90400 is 300.6659275675
The cube root of 90400 is 44.8803405319

Scales and comparisons

How big is 90400?

90,400 seconds is equal to 1 day, 1 hour, 6 minutes, 40 seconds.
To count from 1 to 90,400 would take you about six 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 90400 cubic inches would be around 3.7 feet tall.

Recreational maths with 90400

90400 backwards is 00409
The number of decimal digits it has is: 5
The sum of 90400's digits is 13
More coming soon!

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The information we have on file for 90400 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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