Search a number
180141 = 31331149
BaseRepresentation
bin101011111110101101
3100011002220
4223332231
521231031
63505553
71350123
oct537655
9304086
10180141
11113385
12882b9
1363cc0
1449913
1538596

180141 has 16 divisors (see below), whose sum is σ = 268800. Its totient is φ = 106560.

The previous prime is 180137. The next prime is 180161. The reversal of 180141 is 141081.

Subtracting from 180141 its reverse (141081), we obtain a triangular number (39060 = T279).

It is not a de Polignac number, because 180141 - 22 = 180137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 180141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180161) 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 15 ways as a sum of consecutive naturals, for example, 1135 + ... + 1283.

It is an arithmetic number, because the mean of its divisors is an integer number (16800).

2180141 is an apocalyptic number.

It is an amenable number.

180141 is a deficient number, since it is larger than the sum of its proper divisors (88659).

180141 is a wasteful number, since it uses less digits than its factorization.

180141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196.

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 180141 is about 424.4302062766. The cubic root of 180141 is about 56.4769007828.

The spelling of 180141 in words is "one hundred eighty thousand, one hundred forty-one".