5280

5,280 is an even composite number composed of four prime numbers multiplied together.

What does the number 5280 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 48 divisors.

5280 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 5280:

25 × 3 × 5 × 11

(2 × 2 × 2 × 2 × 2 × 3 × 5 × 11)

See below for interesting mathematical facts about the number 5280 from the Numbermatics database.

Names of 5280

• Cardinal: 5280 can be written as Five thousand, two hundred eighty.

Scientific notation

• Scientific notation: 5.28 × 103

Factors of 5280

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 21

Divisors of 5280

• Number of divisors d(n): 48
• Complete list of divisors:
• Sum of all divisors σ(n): 18144
• Sum of proper divisors (its aliquot sum) s(n): 12864
• 5280 is an abundant number, because the sum of its proper divisors (12864) is greater than itself. Its abundance is 7584

Bases of 5280

• Binary: 10100101000002
• Base-36: 42O

Squares and roots of 5280

• 5280 squared (52802) is 27878400
• 5280 cubed (52803) is 147197952000
• The square root of 5280 is 72.6636084983
• The cube root of 5280 is 17.4131753823

Scales and comparisons

How big is 5280?
• 5,280 seconds is equal to 28 minutes.
• To count from 1 to 5,280 would take you about twenty-eight minutes.

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 5280 cubic inches would be around 1.5 feet tall.

Recreational maths with 5280

• 5280 backwards is 0825
• 5280 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 5280's digits is 15
• More coming soon!

HTML: To link to this page, just copy and paste the link below into your blog, web page or email.

BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below: