19125

19,125 is an odd composite number composed of three prime numbers multiplied together.

What does the number 19125 look like?

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

19125 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 19125:

3² × 5³ × 17

(3 × 3 × 5 × 5 × 5 × 17)

See below for interesting mathematical facts about the number 19125 from the Numbermatics database.

Names of 19125

Cardinal: 19125 can be written as Nineteen thousand, one hundred twenty-five.

Scientific notation

Scientific notation: 1.9125 × 10⁴

Factors of 19125

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 6
Sum of prime factors: 25

Divisors of 19125

Number of divisors d(n): 24
Complete list of divisors:
1 3 5 9 15 17 25 45 51 75 85 125 153 225 255 375 425 765 1125 1275 2125 3825 6375 19125
Sum of all divisors σ(n): 36504
Sum of proper divisors (its aliquot sum) s(n): 17379
19125 is a deficient number, because the sum of its proper divisors (17379) is less than itself. Its deficiency is 1746

Bases of 19125

Binary: 100101010110101₂
Hexadecimal: 0x4AB5
Base-36: ER9

Squares and roots of 19125

19125 squared (19125²) is 365765625
19125 cubed (19125³) is 6995267578125
The square root of 19125 is 138.2931668593
The cube root of 19125 is 26.7424062061

Scales and comparisons

How big is 19125?

19,125 seconds is equal to 5 hours, 18 minutes, 45 seconds.
To count from 1 to 19,125 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 19125 cubic inches would be around 2.2 feet tall.

Recreational maths with 19125

19125 backwards is 52191
The number of decimal digits it has is: 5
The sum of 19125's digits is 18
More coming soon!

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The information we have on file for 19125 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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