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180141066 = 23272575563
BaseRepresentation
bin10101011110010…
…11110000001010
3110112222010002100
422233023300022
5332104003231
625513014230
74315113420
oct1257136012
9415863070
10180141066
1192759716
12503b4376
132b423161
1419cd3110
1510c351e6
hexabcbc0a

180141066 has 48 divisors (see below), whose sum is σ = 447879744. Its totient is φ = 51259392.

The previous prime is 180141043. The next prime is 180141067. The reversal of 180141066 is 660141081.

180141066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (180141067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29601 + ... + 35163.

It is an arithmetic number, because the mean of its divisors is an integer number (9330828).

Almost surely, 2180141066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180141066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223939872).

180141066 is an abundant number, since it is smaller than the sum of its proper divisors (267738678).

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

180141066 is a wasteful number, since it uses less digits than its factorization.

180141066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5835 (or 5832 counting only the distinct ones).

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

The square root of 180141066 is about 13421.6640548033. The cubic root of 180141066 is about 564.7690768012.

It can be divided in two parts, 180 and 141066, that added together give a triangular number (141246 = T531).

The spelling of 180141066 in words is "one hundred eighty million, one hundred forty-one thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 257 514 771 1542 1799 2313 3598 4626 5397 5563 10794 11126 16191 16689 32382 33378 38941 50067 77882 100134 116823 233646 350469 700938 1429691 2859382 4289073 8578146 10007837 12867219 20015674 25734438 30023511 60047022 90070533 180141066