# 10738728

## 10,738,728 is an even composite number composed of six prime numbers multiplied together.

What does the number 10738728 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 192 divisors.

10738728 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.

## Prime factorization of 10738728:

### 23 × 32 × 7 × 11 × 13 × 149

(2 × 2 × 2 × 3 × 3 × 7 × 11 × 13 × 149)

See below for interesting mathematical facts about the number 10738728 from the Numbermatics database.

### Names of 10738728

• Cardinal: 10738728 can be written as Ten million, seven hundred thirty-eight thousand, seven hundred twenty-eight.

### Scientific notation

• Scientific notation: 1.0738728 × 107

### Factors of 10738728

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 185

### Divisors of 10738728

• Number of divisors d(n): 192
• Complete list of divisors:
• Sum of all divisors σ(n): 39312000
• Sum of proper divisors (its aliquot sum) s(n): 28573272
• 10738728 is an abundant number, because the sum of its proper divisors (28573272) is greater than itself. Its abundance is 17834544

### Bases of 10738728

• Binary: 1010001111011100001010002
• Base-36: 6E620

### Squares and roots of 10738728

• 10738728 squared (107387282) is 115320279057984
• 10738728 cubed (107387283) is 1238393109687786404352
• The square root of 10738728 is 3276.9998474215
• The cube root of 10738728 is 220.6230821309

### Scales and comparisons

How big is 10738728?
• 10,738,728 seconds is equal to 17 weeks, 5 days, 6 hours, 58 minutes, 48 seconds.
• To count from 1 to 10,738,728 would take you about twenty-six 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 10738728 cubic inches would be around 18.4 feet tall.

### Recreational maths with 10738728

• 10738728 backwards is 82783701
• 10738728 is a Harshad number.
• The number of decimal digits it has is: 8
• The sum of 10738728's digits is 36
• More coming soon!

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