19296

19,296 is an even composite number composed of three prime numbers multiplied together.

What does the number 19296 look like?

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

19296 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 19296:

2⁵ × 3² × 67

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 67)

See below for interesting mathematical facts about the number 19296 from the Numbermatics database.

Names of 19296

Cardinal: 19296 can be written as Nineteen thousand, two hundred ninety-six.

Scientific notation

Scientific notation: 1.9296 × 10⁴

Factors of 19296

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 8
Sum of prime factors: 72

Divisors of 19296

Number of divisors d(n): 36
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 288 402 536 603 804 1072 1206 1608 2144 2412 3216 4824 6432 9648 19296
Sum of all divisors σ(n): 55692
Sum of proper divisors (its aliquot sum) s(n): 36396
19296 is an abundant number, because the sum of its proper divisors (36396) is greater than itself. Its abundance is 17100

Bases of 19296

Binary: 100101101100000₂
Hexadecimal: 0x4B60
Base-36: EW0

Squares and roots of 19296

19296 squared (19296²) is 372335616
19296 cubed (19296³) is 7184588046336
The square root of 19296 is 138.9100428335
The cube root of 19296 is 26.8218726911

Scales and comparisons

How big is 19296?

19,296 seconds is equal to 5 hours, 21 minutes, 36 seconds.
To count from 1 to 19,296 would take you about five 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 19296 cubic inches would be around 2.2 feet tall.

Recreational maths with 19296

19296 backwards is 69291
The number of decimal digits it has is: 5
The sum of 19296's digits is 27
More coming soon!

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The information we have on file for 19296 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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