10082436 has 72 divisors (see below), whose sum is σ = 29494080. Its totient is φ = 2657088.

The previous prime is 10082431. The next prime is 10082447. The reversal of 10082436 is 63428001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10082431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6985 + ... + 8303.

It is an arithmetic number, because the mean of its divisors is an integer number (409640).

Almost surely, 2^10082436 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 10082436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14747040).

10082436 is an abundant number, since it is smaller than the sum of its proper divisors (19411644).

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

10082436 is a wasteful number, since it uses less digits than its factorization.

10082436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 10082436 is about 3175.2851840425. The cubic root of 10082436 is about 216.0338595754.

The spelling of 10082436 in words is "ten million, eighty-two thousand, four hundred thirty-six".