13356

13,356 is an even composite number composed of four prime numbers multiplied together.

What does the number 13356 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 36 divisors.

13356 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-six divisors.

Prime factorization of 13356:

2² × 3² × 7 × 53

(2 × 2 × 3 × 3 × 7 × 53)

See below for interesting mathematical facts about the number 13356 from the Numbermatics database.

Names of 13356

Cardinal: 13356 can be written as Thirteen thousand, three hundred fifty-six.

Scientific notation

Scientific notation: 1.3356 × 10⁴

Factors of 13356

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 6
Sum of prime factors: 65

Divisors of 13356

Number of divisors d(n): 36
Complete list of divisors:
1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 212 252 318 371 477 636 742 954 1113 1484 1908 2226 3339 4452 6678 13356
Sum of all divisors σ(n): 39312
Sum of proper divisors (its aliquot sum) s(n): 25956
13356 is an abundant number, because the sum of its proper divisors (25956) is greater than itself. Its abundance is 12600

Bases of 13356

Binary: 11010000101100₂
Hexadecimal: 0x342C
Base-36: AB0

Squares and roots of 13356

13356 squared (13356²) is 178382736
13356 cubed (13356³) is 2382479822016
The square root of 13356 is 115.5681617055
The cube root of 13356 is 23.7260515753

Scales and comparisons

How big is 13356?

13,356 seconds is equal to 3 hours, 42 minutes, 36 seconds.
To count from 1 to 13,356 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 13356 cubic inches would be around 2 feet tall.

Recreational maths with 13356

13356 backwards is 65331
13356 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 13356's digits is 18
More coming soon!

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The information we have on file for 13356 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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