# 10164

## 10,164 is an even composite number composed of four prime numbers multiplied together.

What does the number 10164 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 36 divisors.

10164 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-six divisors.

## Prime factorization of 10164:

### 22 × 3 × 7 × 112

(2 × 2 × 3 × 7 × 11 × 11)

See below for interesting mathematical facts about the number 10164 from the Numbermatics database.

### Names of 10164

• Cardinal: 10164 can be written as Ten thousand, one hundred sixty-four.

### Scientific notation

• Scientific notation: 1.0164 × 104

### Factors of 10164

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 23

### Divisors of 10164

• Number of divisors d(n): 36
• Complete list of divisors:
• Sum of all divisors σ(n): 29792
• Sum of proper divisors (its aliquot sum) s(n): 19628
• 10164 is an abundant number, because the sum of its proper divisors (19628) is greater than itself. Its abundance is 9464

### Bases of 10164

• Binary: 100111101101002
• Base-36: 7UC

### Squares and roots of 10164

• 10164 squared (101642) is 103306896
• 10164 cubed (101643) is 1050011290944
• The square root of 10164 is 100.8166652891
• The cube root of 10164 is 21.6614846253

### Scales and comparisons

How big is 10164?
• 10,164 seconds is equal to 2 hours, 49 minutes, 24 seconds.
• To count from 1 to 10,164 would take you about two 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 10164 cubic inches would be around 1.8 feet tall.

### Recreational maths with 10164

• 10164 backwards is 46101
• 10164 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 10164's digits is 12
• More coming soon!

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The information we have on file for 10164 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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