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180316080 = 243257219269
BaseRepresentation
bin10101011111101…
…10011110110000
3110120022000011100
422233312132300
5332130103310
625520444400
74316442600
oct1257663660
9416260140
10180316080
119286915a
1250479700
132b484a09
1419d3ac00
1510c6bec0
hexabf67b0

180316080 has 360 divisors, whose sum is σ = 744260400. Its totient is φ = 38900736.

The previous prime is 180316063. The next prime is 180316091. The reversal of 180316080 is 80613081.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 670186 + ... + 670454.

It is an arithmetic number, because the mean of its divisors is an integer number (2067390).

Almost surely, 2180316080 is an apocalyptic number.

180316080 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 180316080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372130200).

180316080 is an abundant number, since it is smaller than the sum of its proper divisors (563944320).

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

180316080 is a wasteful number, since it uses less digits than its factorization.

180316080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 180316080 is about 13428.1823043925. The cubic root of 180316080 is about 564.9519159226.

The spelling of 180316080 in words is "one hundred eighty million, three hundred sixteen thousand, eighty".