10382000 has 80 divisors (see below), whose sum is σ = 26114400. Its totient is φ = 3987200.

The previous prime is 10381991. The next prime is 10382003. The reversal of 10382000 is 28301.

10382000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10382003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57911 + ... + 58089.

It is an arithmetic number, because the mean of its divisors is an integer number (326430).

Almost surely, 2^10382000 is an apocalyptic number.

10382000 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 10382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13057200).

10382000 is an abundant number, since it is smaller than the sum of its proper divisors (15732400).

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

10382000 is a wasteful number, since it uses less digits than its factorization.

10382000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 10382000 is about 3222.1111091953. Note that the first 4 decimals coincide. The cubic root of 10382000 is about 218.1525739423.

The spelling of 10382000 in words is "ten million, three hundred eighty-two thousand".