10259424 has 108 divisors (see below), whose sum is σ = 33985224. Its totient is φ = 2927232.

The previous prime is 10259401. The next prime is 10259443. The reversal of 10259424 is 42495201.

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 17 ways as a sum of consecutive naturals, for example, 13749 + ... + 14475.

It is an arithmetic number, because the mean of its divisors is an integer number (314678).

Almost surely, 2^10259424 is an apocalyptic number.

10259424 is a gapful number since it is divisible by the number (14) 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 10259424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16992612).

10259424 is an abundant number, since it is smaller than the sum of its proper divisors (23725800).

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

10259424 is a wasteful number, since it uses less digits than its factorization.

10259424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10259424 is about 3203.0335621095. The cubic root of 10259424 is about 217.2906268937.

The spelling of 10259424 in words is "ten million, two hundred fifty-nine thousand, four hundred twenty-four".