10241536 has 40 divisors (see below), whose sum is σ = 20795544. Its totient is φ = 5038080.

The previous prime is 10241527. The next prime is 10241549. The reversal of 10241536 is 63514201.

10241536 is a modest number, since divided by 1536 gives 1024 as remainder.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 42376 + ... + 42616.

Almost surely, 2^10241536 is an apocalyptic number.

10241536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10241536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10397772).

10241536 is an abundant number, since it is smaller than the sum of its proper divisors (10554008).

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

10241536 is an frugal number, since it uses more digits than its factorization.

10241536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 10241536 is about 3200.2399910007. The cubic root of 10241536 is about 217.1642664552.

Adding to 10241536 its reverse (63514201), we get a palindrome (73755737).

The spelling of 10241536 in words is "ten million, two hundred forty-one thousand, five hundred thirty-six".