# 13202

## 13,202 is an even composite number composed of four prime numbers multiplied together.

What does the number 13202 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 16 divisors.

13202 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 13202:

### 2 × 7 × 23 × 41

See below for interesting mathematical facts about the number 13202 from the Numbermatics database.

### Names of 13202

• Cardinal: 13202 can be written as Thirteen thousand, two hundred two.

### Scientific notation

• Scientific notation: 1.3202 × 104

### Factors of 13202

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 73

### Divisors of 13202

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 24192
• Sum of proper divisors (its aliquot sum) s(n): 10990
• 13202 is a deficient number, because the sum of its proper divisors (10990) is less than itself. Its deficiency is 2212

### Bases of 13202

• Binary: 110011100100102
• Base-36: A6Q

### Squares and roots of 13202

• 13202 squared (132022) is 174292804
• 13202 cubed (132023) is 2301013598408
• The square root of 13202 is 114.8999564839
• The cube root of 13202 is 23.6345085509

### Scales and comparisons

How big is 13202?
• 13,202 seconds is equal to 3 hours, 40 minutes, 2 seconds.
• To count from 1 to 13,202 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 13202 cubic inches would be around 2 feet tall.

### Recreational maths with 13202

• 13202 backwards is 20231
• The number of decimal digits it has is: 5
• The sum of 13202's digits is 8
• More coming soon!