5310240 has 192 divisors, whose sum is σ = 19305216. Its totient is φ = 1216512.

The previous prime is 5310191. The next prime is 5310247. The reversal of 5310240 is 420135.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (5310247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143502 + ... + 143538.

It is an arithmetic number, because the mean of its divisors is an integer number (100548).

Almost surely, 2^5310240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9652608).

5310240 is an abundant number, since it is smaller than the sum of its proper divisors (13994976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5310240 is a wasteful number, since it uses less digits than its factorization.

5310240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 5310240 is about 2304.3957993366. The cubic root of 5310240 is about 174.4635545378.

Adding to 5310240 its reverse (420135), we get a palindrome (5730375).

The spelling of 5310240 in words is "five million, three hundred ten thousand, two hundred forty".