13365

13,365 is an odd composite number composed of three prime numbers multiplied together.

What does the number 13365 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

13365 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

Prime factorization of 13365:

3⁵ × 5 × 11

(3 × 3 × 3 × 3 × 3 × 5 × 11)

See below for interesting mathematical facts about the number 13365 from the Numbermatics database.

Names of 13365

Cardinal: 13365 can be written as Thirteen thousand, three hundred sixty-five.

Scientific notation

Scientific notation: 1.3365 × 10⁴

Factors of 13365

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 7
Sum of prime factors: 19

Divisors of 13365

Number of divisors d(n): 24
Complete list of divisors:
1 3 5 9 11 15 27 33 45 55 81 99 135 165 243 297 405 495 891 1215 1485 2673 4455 13365
Sum of all divisors σ(n): 26208
Sum of proper divisors (its aliquot sum) s(n): 12843
13365 is a deficient number, because the sum of its proper divisors (12843) is less than itself. Its deficiency is 522

Bases of 13365

Binary: 11010000110101₂
Hexadecimal: 0x3435
Base-36: AB9

Squares and roots of 13365

13365 squared (13365²) is 178623225
13365 cubed (13365³) is 2387299402125
The square root of 13365 is 115.6070932079
The cube root of 13365 is 23.7313796803

Scales and comparisons

How big is 13365?

13,365 seconds is equal to 3 hours, 42 minutes, 45 seconds.
To count from 1 to 13,365 would take you about three hours.

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 13365 cubic inches would be around 2 feet tall.

Recreational maths with 13365

13365 backwards is 56331
The number of decimal digits it has is: 5
The sum of 13365's digits is 18
More coming soon!

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The information we have on file for 13365 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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