20736

20736 is a natural number that sits between 20735 and 20737. It is notable for being both a perfect square and a perfect fourth power: 20736 = 144^2 = 12^4.

Prime factorization of 20736 is 2^8 * 3^4. This factorization implies the number has 45 divisors, calculated as (8+1)(4+1) = 45. It can also be expressed as 256 × 81, or as 12^4, illustrating its representation as a power of 12.

In base notation, 20736 is 10000 in base 12, since 12^4 equals 20736. This reflects its status as a pure power of 12 in decimal form.

Other observations include that the sum of its digits is 18, and 18 divides 20736, making it a Harshad (Niven) number in base 10. The number also appears in simple mathematical representations: 12^4 accounts for the number of 4-element sequences over a 12-element set, and 144^2 corresponds to the area of a square with side length 144.

In time-related terms, 20736 seconds equal 5 hours, 45 minutes, and 36 seconds. This exact conversion highlights a neat numerical coincidence with common time units.