# 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!