180056 has 16 divisors (see below), whose sum is σ = 343440. Its totient is φ = 88480.

The previous prime is 180053. The next prime is 180071. The reversal of 180056 is 650081.

180056 = 11² + 12² + ... + 81².

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 410 + ... + 726.

It is an arithmetic number, because the mean of its divisors is an integer number (21465).

2¹⁸⁰⁰⁵⁶ is an apocalyptic number.

It is an amenable number.

180056 is a deficient number, since it is larger than the sum of its proper divisors (163384).

180056 is a wasteful number, since it uses less digits than its factorization.

180056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 180056 is about 424.3300602126. The cubic root of 180056 is about 56.4680164610.

The spelling of 180056 in words is "one hundred eighty thousand, fifty-six".