10352420 has 48 divisors (see below), whose sum is σ = 24237360. Its totient is φ = 3687936.

The previous prime is 10352413. The next prime is 10352443. The reversal of 10352420 is 2425301.

It can be written as a sum of positive squares in 8 ways, for example, as 73984 + 10278436 = 272^2 + 3206^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6854 + ... + 8226.

It is an arithmetic number, because the mean of its divisors is an integer number (504945).

Almost surely, 2^10352420 is an apocalyptic number.

10352420 is a gapful number since it is divisible by the number (10) 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 10352420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12118680).

10352420 is an abundant number, since it is smaller than the sum of its proper divisors (13884940).

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

10352420 is a wasteful number, since it uses less digits than its factorization.

10352420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 10352420 is about 3217.5176767191. The cubic root of 10352420 is about 217.9451928546.

Adding to 10352420 its reverse (2425301), we get a palindrome (12777721).

The spelling of 10352420 in words is "ten million, three hundred fifty-two thousand, four hundred twenty".