10413024 has 48 divisors (see below), whose sum is σ = 28224000. Its totient is φ = 3358080.

The previous prime is 10413023. The next prime is 10413037. The reversal of 10413024 is 42031401.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 10412994 and 10413012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10413023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1227 + ... + 4725.

It is an arithmetic number, because the mean of its divisors is an integer number (588000).

Almost surely, 2^10413024 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 10413024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14112000).

10413024 is an abundant number, since it is smaller than the sum of its proper divisors (17810976).

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

10413024 is a wasteful number, since it uses less digits than its factorization.

10413024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3535 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 10413024 is about 3226.9217530024. The cubic root of 10413024 is about 218.3696559165.

Adding to 10413024 its reverse (42031401), we get a palindrome (52444425).

The spelling of 10413024 in words is "ten million, four hundred thirteen thousand, twenty-four".