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198536 = 23132383
BaseRepresentation
bin110000011110001000
3101002100012
4300132020
522323121
64131052
71454552
oct603610
9332305
10198536
11126188
1296a88
136c4a0
14524d2
153dc5b
hex30788

198536 has 32 divisors (see below), whose sum is σ = 423360. Its totient is φ = 86592.

The previous prime is 198533. The next prime is 198553. The reversal of 198536 is 635891.

It is not an unprimeable number, because it can be changed into a prime (198533) 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 7 ways as a sum of consecutive naturals, for example, 2351 + ... + 2433.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2198536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211680).

198536 is an abundant number, since it is smaller than the sum of its proper divisors (224824).

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

198536 is a wasteful number, since it uses less digits than its factorization.

198536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 121 counting only the distinct ones).

The product of its digits is 6480, while the sum is 32.

The square root of 198536 is about 445.5737873798. The cubic root of 198536 is about 58.3373131072.

The spelling of 198536 in words is "one hundred ninety-eight thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 23 26 46 52 83 92 104 166 184 299 332 598 664 1079 1196 1909 2158 2392 3818 4316 7636 8632 15272 24817 49634 99268 198536