20382000 has 160 divisors (see below), whose sum is σ = 68090880. Its totient is φ = 5241600.

The previous prime is 20381993. The next prime is 20382001. The reversal of 20382000 is 28302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20382001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257961 + ... + 258039.

It is an arithmetic number, because the mean of its divisors is an integer number (425568).

Almost surely, 2^20382000 is an apocalyptic number.

20382000 is a gapful number since it is divisible by the number (20) 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 20382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34045440).

20382000 is an abundant number, since it is smaller than the sum of its proper divisors (47708880).

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

20382000 is a wasteful number, since it uses less digits than its factorization.

20382000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 20382000 is about 4514.6428430165. The cubic root of 20382000 is about 273.1590534196.

The spelling of 20382000 in words is "twenty million, three hundred eighty-two thousand".