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198996 = 223723103
BaseRepresentation
bin110000100101010100
3101002222020
4300211110
522331441
64133140
71456110
oct604524
9332866
10198996
11126566
12971b0
136c765
1452740
153de66
hex30954

198996 has 48 divisors (see below), whose sum is σ = 559104. Its totient is φ = 53856.

The previous prime is 198977. The next prime is 198997. The reversal of 198996 is 699891.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198997) by changing a digit.

198996 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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1881 + ... + 1983.

It is an arithmetic number, because the mean of its divisors is an integer number (11648).

2198996 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 198996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279552).

198996 is an abundant number, since it is smaller than the sum of its proper divisors (360108).

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

198996 is a wasteful number, since it uses less digits than its factorization.

198996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 138 counting only the distinct ones).

The product of its digits is 34992, while the sum is 42.

The square root of 198996 is about 446.0896770830. The cubic root of 198996 is about 58.3823334315.

The spelling of 198996 in words is "one hundred ninety-eight thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 103 138 161 206 276 309 322 412 483 618 644 721 966 1236 1442 1932 2163 2369 2884 4326 4738 7107 8652 9476 14214 16583 28428 33166 49749 66332 99498 198996