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180520301 = 1328149417
BaseRepresentation
bin10101100001010…
…00010101101101
3110120200101022002
422300220111231
5332203122201
625525102045
74321253153
oct1260502555
9416611262
10180520301
1192998635
1250557925
132b526960
1419d913d3
1510cac76b
hexac2856d

180520301 has 8 divisors (see below), whose sum is σ = 195102264. Its totient is φ = 166037760.

The previous prime is 180520283. The next prime is 180520309. The reversal of 180520301 is 103025081.

It can be written as a sum of positive squares in 4 ways, for example, as 52852900 + 127667401 = 7270^2 + 11299^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 180520301 - 26 = 180520237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180520309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21056 + ... + 28361.

It is an arithmetic number, because the mean of its divisors is an integer number (24387783).

Almost surely, 2180520301 is an apocalyptic number.

It is an amenable number.

180520301 is a deficient number, since it is larger than the sum of its proper divisors (14581963).

180520301 is a wasteful number, since it uses less digits than its factorization.

180520301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49711.

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

The square root of 180520301 is about 13435.7843462896. The cubic root of 180520301 is about 565.1651184200.

Adding to 180520301 its reverse (103025081), we get a palindrome (283545382).

The spelling of 180520301 in words is "one hundred eighty million, five hundred twenty thousand, three hundred one".

Divisors: 1 13 281 3653 49417 642421 13886177 180520301