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198160 = 2452477
BaseRepresentation
bin110000011000010000
3101001211021
4300120100
522320120
64125224
71453504
oct603020
9331737
10198160
11125976
1296814
136c271
1452304
153daaa
hex30610

198160 has 20 divisors (see below), whose sum is σ = 460908. Its totient is φ = 79232.

The previous prime is 198139. The next prime is 198173. The reversal of 198160 is 61891.

It can be written as a sum of positive squares in 2 ways, for example, as 85264 + 112896 = 292^2 + 336^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

198160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1159 + ... + 1318.

2198160 is an apocalyptic number.

198160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198160 is an abundant number, since it is smaller than the sum of its proper divisors (262748).

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

198160 is a wasteful number, since it uses less digits than its factorization.

198160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 198160 is about 445.1516595499. The cubic root of 198160 is about 58.3004622061.

Subtracting from 198160 its sum of digits (25), we obtain a triangular number (198135 = T629).

The spelling of 198160 in words is "one hundred ninety-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2477 4954 9908 12385 19816 24770 39632 49540 99080 198160