# 96768

## 96,768 is an even composite number composed of three prime numbers multiplied together.

What does the number 96768 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 80 divisors.

96768 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eighty divisors.

## Prime factorization of 96768:

### 29 × 33 × 7

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7)

See below for interesting mathematical facts about the number 96768 from the Numbermatics database.

### Names of 96768

• Cardinal: 96768 can be written as Ninety-six thousand, seven hundred sixty-eight.

### Scientific notation

• Scientific notation: 9.6768 × 104

### Factors of 96768

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 12

### Divisors of 96768

• Number of divisors d(n): 80
• Complete list of divisors:
• Sum of all divisors σ(n): 327360
• Sum of proper divisors (its aliquot sum) s(n): 230592
• 96768 is an abundant number, because the sum of its proper divisors (230592) is greater than itself. Its abundance is 133824

### Bases of 96768

• Binary: 101111010000000002
• Base-36: 22O0

### Squares and roots of 96768

• 96768 squared (967682) is 9364045824
• 96768 cubed (967683) is 906139986296832
• The square root of 96768 is 311.0755535235
• The cube root of 96768 is 45.9103483865

### Scales and comparisons

How big is 96768?
• 96,768 seconds is equal to 1 day, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 96,768 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 96768 cubic inches would be around 3.8 feet tall.

### Recreational maths with 96768

• 96768 backwards is 86769
• 96768 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 96768's digits is 36
• More coming soon!