# 10368400

## 10,368,400 is an even composite number composed of four prime numbers multiplied together.

What does the number 10368400 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 135 divisors.

10368400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred thirty-five divisors.

## Prime factorization of 10368400:

### 24 × 52 × 72 × 232

(2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 23 × 23)

See below for interesting mathematical facts about the number 10368400 from the Numbermatics database.

### Names of 10368400

• Cardinal: 10368400 can be written as Ten million, three hundred sixty-eight thousand, four hundred.

### Scientific notation

• Scientific notation: 1.03684 × 107

### Factors of 10368400

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 37

### Divisors of 10368400

• Number of divisors d(n): 135
• Complete list of divisors:
• Sum of all divisors σ(n): 30291681
• Sum of proper divisors (its aliquot sum) s(n): 19923281
• 10368400 is an abundant number, because the sum of its proper divisors (19923281) is greater than itself. Its abundance is 9554881

### Bases of 10368400

• Binary: 1001111000110101100100002
• Base-36: 668B4

### Squares and roots of 10368400

• 10368400 squared (103684002) is 107503718560000
• 10368400 cubed (103684003) is 1114641555517504000000
• 10368400 is a perfect square number. Its square root is 3220
• The cube root of 10368400 is 218.0572753023

### Scales and comparisons

How big is 10368400?
• 10,368,400 seconds is equal to 17 weeks, 1 day, 6 minutes, 40 seconds.
• To count from 1 to 10,368,400 would take you about twenty-five weeks!

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 10368400 cubic inches would be around 18.2 feet tall.

### Recreational maths with 10368400

• 10368400 backwards is 00486301
• The number of decimal digits it has is: 8
• The sum of 10368400's digits is 22
• More coming soon!