# 820864

## 820,864 is an even composite number composed of three prime numbers multiplied together.

What does the number 820864 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 48 divisors.

820864 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-eight divisors.

## Prime factorization of 820864:

### 27 × 112 × 53

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 11 × 53)

See below for interesting mathematical facts about the number 820864 from the Numbermatics database.

### Names of 820864

• Cardinal: 820864 can be written as Eight hundred twenty thousand, eight hundred sixty-four.

### Scientific notation

• Scientific notation: 8.20864 × 105

### Factors of 820864

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 66

### Divisors of 820864

• Number of divisors d(n): 48
• Complete list of divisors:
• Sum of all divisors σ(n): 1831410
• Sum of proper divisors (its aliquot sum) s(n): 1010546
• 820864 is an abundant number, because the sum of its proper divisors (1010546) is greater than itself. Its abundance is 189682

### Bases of 820864

• Binary: 110010000110100000002
• Base-36: HLDS

### Squares and roots of 820864

• 820864 squared (8208642) is 673817706496
• 820864 cubed (8208643) is 553112697825132544
• The square root of 820864 is 906.0154524069
• The cube root of 820864 is 93.6318784931

### Scales and comparisons

How big is 820864?
• 820,864 seconds is equal to 1 week, 2 days, 12 hours, 1 minute, 4 seconds.
• To count from 1 to 820,864 would take you about two days!

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 820864 cubic inches would be around 7.8 feet tall.

### Recreational maths with 820864

• 820864 backwards is 468028
• The number of decimal digits it has is: 6
• The sum of 820864's digits is 28
• More coming soon!