10304820 has 60 divisors (see below), whose sum is σ = 32331684. Its totient is φ = 2747520.

The previous prime is 10304813. The next prime is 10304857. The reversal of 10304820 is 2840301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3111696 + 7193124 = 1764^2 + 2682^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 10304793 and 10304802.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1561 + ... + 4800.

Almost surely, 2^10304820 is an apocalyptic number.

10304820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10304820 is an abundant number, since it is smaller than the sum of its proper divisors (22026864).

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

10304820 is a wasteful number, since it uses less digits than its factorization.

10304820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6382 (or 6371 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10304820 is about 3210.1121475737. The cubic root of 10304820 is about 217.6106452495.

The spelling of 10304820 in words is "ten million, three hundred four thousand, eight hundred twenty".