12800

12,800 is an even composite number composed of two prime numbers multiplied together.

What does the number 12800 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 30 divisors.

12800 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of thirty divisors.

Prime factorization of 12800:

29 × 52

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5)

See below for interesting mathematical facts about the number 12800 from the Numbermatics database.

Names of 12800

• Cardinal: 12800 can be written as Twelve thousand, eight hundred.

Scientific notation

• Scientific notation: 1.28 × 104

Factors of 12800

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 7

Divisors of 12800

• Number of divisors d(n): 30
• Complete list of divisors:
• Sum of all divisors σ(n): 31713
• Sum of proper divisors (its aliquot sum) s(n): 18913
• 12800 is an abundant number, because the sum of its proper divisors (18913) is greater than itself. Its abundance is 6113

Bases of 12800

• Binary: 110010000000002
• Base-36: 9VK

Squares and roots of 12800

• 12800 squared (128002) is 163840000
• 12800 cubed (128003) is 2097152000000
• The square root of 12800 is 113.1370849899
• The cube root of 12800 is 23.3921419057

Scales and comparisons

How big is 12800?
• 12,800 seconds is equal to 3 hours, 33 minutes, 20 seconds.
• To count from 1 to 12,800 would take you about 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 12800 cubic inches would be around 1.9 feet tall.

Recreational maths with 12800

• 12800 backwards is 00821
• The number of decimal digits it has is: 5
• The sum of 12800's digits is 11
• More coming soon!

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