210056 has 48 divisors (see below), whose sum is σ = 510720. Its totient is φ = 79200.

The previous prime is 210053. The next prime is 210071. The reversal of 210056 is 650012.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a plaindrome in base 16.

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 210056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6761 + ... + 6791.

It is an arithmetic number, because the mean of its divisors is an integer number (10640).

2²¹⁰⁰⁵⁶ 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 210056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255360).

210056 is an abundant number, since it is smaller than the sum of its proper divisors (300664).

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

210056 is a wasteful number, since it uses less digits than its factorization.

210056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 210056 is about 458.3186664320. The cubic root of 210056 is about 59.4445025442. Note that the first 3 decimals are identical.

Adding to 210056 its reverse (650012), we get a palindrome (860068).

The spelling of 210056 in words is "two hundred ten thousand, fifty-six".