13638400

13,638,400 is an even composite number composed of three prime numbers multiplied together.

What does the number 13638400 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 54 divisors.

13638400 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of fifty-four divisors.

Prime factorization of 13638400:

2⁸ × 5² × 2131

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 2131)

See below for interesting mathematical facts about the number 13638400 from the Numbermatics database.

Names of 13638400

Cardinal: 13638400 can be written as Thirteen million, six hundred thirty-eight thousand, four hundred.

Scientific notation

Scientific notation: 1.36384 × 10⁷

Factors of 13638400

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 11
Sum of prime factors: 2138

Divisors of 13638400

Number of divisors d(n): 54
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 2131 3200 4262 6400 8524 10655 17048 21310 34096 42620 53275 68192 85240 106550 136384 170480 213100 272768 340960 426200 545536 681920 852400 1363840 1704800 2727680 3409600 6819200 13638400
Sum of all divisors σ(n): 33773012
Sum of proper divisors (its aliquot sum) s(n): 20134612
13638400 is an abundant number, because the sum of its proper divisors (20134612) is greater than itself. Its abundance is 6496212

Bases of 13638400

Binary: 110100000001101100000000₂
Hexadecimal: 0xD01B00
Base-36: 84BGG

Squares and roots of 13638400

13638400 squared (13638400²) is 186005954560000
13638400 cubed (13638400³) is 2536823610671104000000
The square root of 13638400 is 3693.0204440269
The cube root of 13638400 is 238.9210829355

Scales and comparisons

How big is 13638400?

13,638,400 seconds is equal to 22 weeks, 3 days, 20 hours, 26 minutes, 40 seconds.
To count from 1 to 13,638,400 would take you about thirty-three weeks!

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 13638400 cubic inches would be around 19.9 feet tall.

Recreational maths with 13638400

13638400 backwards is 00483631
13638400 is a Harshad number.
The number of decimal digits it has is: 8
The sum of 13638400's digits is 25
More coming soon!

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The information we have on file for 13638400 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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