# 978120

## 978,120 is an even composite number composed of six prime numbers multiplied together.

What does the number 978120 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 192 divisors.

978120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.

## Prime factorization of 978120:

### 23 × 32 × 5 × 11 × 13 × 19

(2 × 2 × 2 × 3 × 3 × 5 × 11 × 13 × 19)

See below for interesting mathematical facts about the number 978120 from the Numbermatics database.

### Names of 978120

• Cardinal: 978120 can be written as Nine hundred seventy-eight thousand, one hundred twenty.

### Scientific notation

• Scientific notation: 9.7812 × 105

### Factors of 978120

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 53

### Divisors of 978120

• Number of divisors d(n): 192
• Complete list of divisors:
• Sum of all divisors σ(n): 3931200
• Sum of proper divisors (its aliquot sum) s(n): 2953080
• 978120 is an abundant number, because the sum of its proper divisors (2953080) is greater than itself. Its abundance is 1974960

### Bases of 978120

• Binary: 111011101100110010002
• Base-36: KYQ0

### Squares and roots of 978120

• 978120 squared (9781202) is 956718734400
• 978120 cubed (9781203) is 935785728491328000
• The square root of 978120 is 988.9994944385
• The cube root of 978120 is 99.2652817783

### Scales and comparisons

How big is 978120?
• 978,120 seconds is equal to 1 week, 4 days, 7 hours, 42 minutes.
• To count from 1 to 978,120 would take you about four 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 978120 cubic inches would be around 8.3 feet tall.

### Recreational maths with 978120

• 978120 backwards is 021879
• The number of decimal digits it has is: 6
• The sum of 978120's digits is 27
• More coming soon!