Search a number
-
+
198858 = 231123131
BaseRepresentation
bin110000100011001010
3101002210010
4300203022
522330413
64132350
71455522
oct604312
9332703
10198858
11126450
12970b6
136c68a
1452682
153ddc3
hex308ca

198858 has 32 divisors (see below), whose sum is σ = 456192. Its totient is φ = 57200.

The previous prime is 198851. The next prime is 198859. The reversal of 198858 is 858891.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 198858.

It is not an unprimeable number, because it can be changed into a prime (198851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1453 + ... + 1583.

It is an arithmetic number, because the mean of its divisors is an integer number (14256).

2198858 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228096).

198858 is an abundant number, since it is smaller than the sum of its proper divisors (257334).

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

198858 is a wasteful number, since it uses less digits than its factorization.

198858 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170.

The product of its digits is 23040, while the sum is 39.

The square root of 198858 is about 445.9349728380. The cubic root of 198858 is about 58.3688346256.

The spelling of 198858 in words is "one hundred ninety-eight thousand, eight hundred fifty-eight".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 131 138 253 262 393 506 759 786 1441 1518 2882 3013 4323 6026 8646 9039 18078 33143 66286 99429 198858