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180243 = 3272861
BaseRepresentation
bin101100000000010011
3100011020200
4230000103
521231433
63510243
71350330
oct540023
9304220
10180243
11113468
1288383
136406b
1449987
1538613
hex2c013

180243 has 12 divisors (see below), whose sum is σ = 297648. Its totient is φ = 102960.

The previous prime is 180241. The next prime is 180247. The reversal of 180243 is 342081.

It is a happy number.

It is not a de Polignac number, because 180243 - 21 = 180241 is a prime.

180243 is a modest number, since divided by 243 gives 180 as remainder.

180243 is a lucky number.

It is a plaindrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 180243.

It is not an unprimeable number, because it can be changed into a prime (180241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1368 + ... + 1493.

It is an arithmetic number, because the mean of its divisors is an integer number (24804).

2180243 is an apocalyptic number.

180243 is a deficient number, since it is larger than the sum of its proper divisors (117405).

180243 is a wasteful number, since it uses less digits than its factorization.

180243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 180243 is about 424.5503503708. The cubic root of 180243 is about 56.4875582806.

The spelling of 180243 in words is "one hundred eighty thousand, two hundred forty-three".

Divisors: 1 3 7 9 21 63 2861 8583 20027 25749 60081 180243