# 19875

## 19,875 is an odd composite number composed of three prime numbers multiplied together.

What does the number 19875 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 16 divisors.

19875 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 19875:

### 3 × 53 × 53

(3 × 5 × 5 × 5 × 53)

See below for interesting mathematical facts about the number 19875 from the Numbermatics database.

### Names of 19875

• Cardinal: 19875 can be written as Nineteen thousand, eight hundred seventy-five.

### Scientific notation

• Scientific notation: 1.9875 × 104

### Factors of 19875

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 61

### Divisors of 19875

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 33696
• Sum of proper divisors (its aliquot sum) s(n): 13821
• 19875 is a deficient number, because the sum of its proper divisors (13821) is less than itself. Its deficiency is 6054

### Bases of 19875

• Binary: 1001101101000112
• Base-36: FC3

### Squares and roots of 19875

• 19875 squared (198752) is 395015625
• 19875 cubed (198753) is 7850935546875
• The square root of 19875 is 140.9787217987
• The cube root of 19875 is 27.0875075749

### Scales and comparisons

How big is 19875?
• 19,875 seconds is equal to 5 hours, 31 minutes, 15 seconds.
• To count from 1 to 19,875 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 19875 cubic inches would be around 2.3 feet tall.

### Recreational maths with 19875

• 19875 backwards is 57891
• The number of decimal digits it has is: 5
• The sum of 19875's digits is 30
• More coming soon!