10204240 has 40 divisors (see below), whose sum is σ = 23871240. Its totient is φ = 4056576.

The previous prime is 10204231. The next prime is 10204261. The reversal of 10204240 is 4240201.

It can be written as a sum of positive squares in 4 ways, for example, as 1132096 + 9072144 = 1064^2 + 3012^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 10204240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18042 + ... + 18598.

It is an arithmetic number, because the mean of its divisors is an integer number (596781).

Almost surely, 2^10204240 is an apocalyptic number.

10204240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10204240 is an abundant number, since it is smaller than the sum of its proper divisors (13667000).

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

10204240 is a wasteful number, since it uses less digits than its factorization.

10204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 10204240 is about 3194.4076133142. The cubic root of 10204240 is about 216.9003343630.

Adding to 10204240 its reverse (4240201), we get a palindrome (14444441).

The spelling of 10204240 in words is "ten million, two hundred four thousand, two hundred forty".