10249820 has 36 divisors (see below), whose sum is σ = 25041240. Its totient is φ = 3513888.

The previous prime is 10249817. The next prime is 10249823. The reversal of 10249820 is 2894201.

10249820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10249817) and next prime (10249823).

It is a self number, because there is not a number n which added to its sum of digits gives 10249820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10249823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4250 + ... + 6209.

It is an arithmetic number, because the mean of its divisors is an integer number (695590).

Almost surely, 2^10249820 is an apocalyptic number.

10249820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10249820 is an abundant number, since it is smaller than the sum of its proper divisors (14791420).

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

10249820 is a wasteful number, since it uses less digits than its factorization.

10249820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10482 (or 10473 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 10249820 is about 3201.5340073159. The cubic root of 10249820 is about 217.2228027254. Note that the first 3 decimals are identical.

The spelling of 10249820 in words is "ten million, two hundred forty-nine thousand, eight hundred twenty".