Which of the following is a Hardy Ramanujan number?

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1728

4194

13832

25683

answer is C.

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Detailed Solution

Concept- A Hardy Ramanujan number is a well-known number that can be written in two different ways as the sum of two cubes. In order to determine the solution, we can test each integer using this definition.
As a result, if

, then every number x is a Hardy Ramanujan number.
where there are four distinct positive numbers (a, b, c, and d) . This pairing is quite uncommon.
We can identify two such pairs of numbers for 13832 if we look at each choice one at a time.
2 and 24 are the first pair, because
Question Image

Second pair is composed of 18 and 20 because
Question Image

It is obvious that the provided Hardy Ramanujan number is 13832.
Hence, the correct answer is option 3.

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