# 85536

## 85,536 is an even composite number composed of three prime numbers multiplied together.

What does the number 85536 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 72 divisors.

85536 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of seventy-two divisors.

## Prime factorization of 85536:

### 25 × 35 × 11

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 11)

See below for interesting mathematical facts about the number 85536 from the Numbermatics database.

### Names of 85536

• Cardinal: 85536 can be written as Eighty-five thousand, five hundred thirty-six.

### Scientific notation

• Scientific notation: 8.5536 × 104

### Factors of 85536

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 16

### Divisors of 85536

• Number of divisors d(n): 72
• Complete list of divisors:
• Sum of all divisors σ(n): 275184
• Sum of proper divisors (its aliquot sum) s(n): 189648
• 85536 is an abundant number, because the sum of its proper divisors (189648) is greater than itself. Its abundance is 104112

### Bases of 85536

• Binary: 101001110001000002
• Base-36: 1U00

### Squares and roots of 85536

• 85536 squared (855362) is 7316407296
• 85536 cubed (855363) is 625816214470656
• The square root of 85536 is 292.4653825669
• The cube root of 85536 is 44.0605227725

### Scales and comparisons

How big is 85536?
• 85,536 seconds is equal to 23 hours, 45 minutes, 36 seconds.
• To count from 1 to 85,536 would take you about twenty-three 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 85536 cubic inches would be around 3.7 feet tall.

### Recreational maths with 85536

• 85536 backwards is 63558
• 85536 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 85536's digits is 27
• More coming soon!