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198436 = 22719373
BaseRepresentation
bin110000011100100100
3101002012111
4300130210
522322221
64130404
71454350
oct603444
9332174
10198436
111260a7
1296a04
136c424
1452460
153dbe1
hex30724

198436 has 24 divisors (see below), whose sum is σ = 418880. Its totient is φ = 80352.

The previous prime is 198427. The next prime is 198437. The reversal of 198436 is 634891.

It is a junction number, because it is equal to n+sod(n) for n = 198398 and 198407.

It is not an unprimeable number, because it can be changed into a prime (198437) 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, 346 + ... + 718.

2198436 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 198436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209440).

198436 is an abundant number, since it is smaller than the sum of its proper divisors (220444).

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

198436 is a wasteful number, since it uses less digits than its factorization.

198436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 401 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The square root of 198436 is about 445.4615583864. The cubic root of 198436 is about 58.3275168804.

Multiplying 198436 by its sum of digits (31), we get a palindrome (6151516).

The spelling of 198436 in words is "one hundred ninety-eight thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 373 532 746 1492 2611 5222 7087 10444 14174 28348 49609 99218 198436