# 102816

## 102,816 is an even composite number composed of four prime numbers multiplied together.

What does the number 102816 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 96 divisors.

102816 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of ninety-six divisors.

## Prime factorization of 102816:

### 25 × 33 × 7 × 17

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 17)

See below for interesting mathematical facts about the number 102816 from the Numbermatics database.

### Names of 102816

• Cardinal: 102816 can be written as One hundred two thousand, eight hundred sixteen.

### Scientific notation

• Scientific notation: 1.02816 × 105

### Factors of 102816

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 29

### Divisors of 102816

• Number of divisors d(n): 96
• Complete list of divisors:
• Sum of all divisors σ(n): 362880
• Sum of proper divisors (its aliquot sum) s(n): 260064
• 102816 is an abundant number, because the sum of its proper divisors (260064) is greater than itself. Its abundance is 157248

### Bases of 102816

• Binary: 110010001101000002
• Base-36: 27C0

### Squares and roots of 102816

• 102816 squared (1028162) is 10571129856
• 102816 cubed (1028163) is 1086881287274496
• The square root of 102816 is 320.6493411813
• The cube root of 102816 is 46.8475519305

### Scales and comparisons

How big is 102816?
• 102,816 seconds is equal to 1 day, 4 hours, 33 minutes, 36 seconds.
• To count from 1 to 102,816 would take you about four 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 102816 cubic inches would be around 3.9 feet tall.

### Recreational maths with 102816

• 102816 backwards is 618201
• 102816 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 102816's digits is 18
• More coming soon!