180293940 has 72 divisors (see below), whose sum is σ = 554423688. Its totient is φ = 47416320.

The previous prime is 180293929. The next prime is 180293951. The reversal of 180293940 is 49392081.

180293940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (180293929) and next prime (180293951).

It can be written as a sum of positive squares in 4 ways, for example, as 7160976 + 173132964 = 2676^2 + 13158^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 180293895 and 180293904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6280 + ... + 20000.

It is an arithmetic number, because the mean of its divisors is an integer number (7700329).

Almost surely, 2^180293940 is an apocalyptic number.

180293940 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 180293940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277211844).

180293940 is an abundant number, since it is smaller than the sum of its proper divisors (374129748).

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

180293940 is a wasteful number, since it uses less digits than its factorization.

180293940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13809 (or 13804 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 180293940 is about 13427.3578934949. The cubic root of 180293940 is about 564.9287925506.

The spelling of 180293940 in words is "one hundred eighty million, two hundred ninety-three thousand, nine hundred forty".