# 19964

## 19,964 is an even composite number composed of four prime numbers multiplied together.

What does the number 19964 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 24 divisors.

19964 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 19964:

### 22 × 7 × 23 × 31

(2 × 2 × 7 × 23 × 31)

See below for interesting mathematical facts about the number 19964 from the Numbermatics database.

### Names of 19964

• Cardinal: 19964 can be written as Nineteen thousand, nine hundred sixty-four.

### Scientific notation

• Scientific notation: 1.9964 × 104

### Factors of 19964

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 63

### Divisors of 19964

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 43008
• Sum of proper divisors (its aliquot sum) s(n): 23044
• 19964 is an abundant number, because the sum of its proper divisors (23044) is greater than itself. Its abundance is 3080

### Bases of 19964

• Binary: 1001101111111002
• Base-36: FEK

### Squares and roots of 19964

• 19964 squared (199642) is 398561296
• 19964 cubed (199643) is 7956877713344
• The square root of 19964 is 141.2940196895
• The cube root of 19964 is 27.1278798785

### Scales and comparisons

How big is 19964?
• 19,964 seconds is equal to 5 hours, 32 minutes, 44 seconds.
• To count from 1 to 19,964 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 19964 cubic inches would be around 2.3 feet tall.

### Recreational maths with 19964

• 19964 backwards is 46991
• The number of decimal digits it has is: 5
• The sum of 19964's digits is 29
• More coming soon!