180930 has 32 divisors (see below), whose sum is σ = 448704. Its totient is φ = 46656.

The previous prime is 180907. The next prime is 180949. The reversal of 180930 is 39081.

180930 = T₁₉₆ + T₁₉₇ + ... + T₂₀₄.

180930 is nontrivially palindromic in base 16.

180930 is an undulating number in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 180897 and 180906.

It is an unprimeable number.

180930 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 1029 + ... + 1191.

It is an arithmetic number, because the mean of its divisors is an integer number (14022).

2¹⁸⁰⁹³⁰ is an apocalyptic number.

180930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 180930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224352).

180930 is an abundant number, since it is smaller than the sum of its proper divisors (267774).

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

180930 is a wasteful number, since it uses less digits than its factorization.

180930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 180930 is about 425.3586721815. The cubic root of 180930 is about 56.5592351320.

The spelling of 180930 in words is "one hundred eighty thousand, nine hundred thirty".