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198957 = 3116029
BaseRepresentation
bin110000100100101101
3101002220210
4300210231
522331312
64133033
71456023
oct604455
9332823
10198957
11126530
1297179
136c735
1452713
153de3c
hex3092d

198957 has 8 divisors (see below), whose sum is σ = 289440. Its totient is φ = 120560.

The previous prime is 198953. The next prime is 198959. The reversal of 198957 is 759891.

It is a happy number.

198957 is nontrivially palindromic in base 12.

198957 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 198957 - 22 = 198953 is a prime.

198957 is strictly pandigital in base 7.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 198957.

It is not an unprimeable number, because it can be changed into a prime (198953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2982 + ... + 3047.

It is an arithmetic number, because the mean of its divisors is an integer number (36180).

2198957 is an apocalyptic number.

It is an amenable number.

198957 is a deficient number, since it is larger than the sum of its proper divisors (90483).

198957 is a wasteful number, since it uses less digits than its factorization.

198957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6043.

The product of its digits is 22680, while the sum is 39.

The square root of 198957 is about 446.0459617573. The cubic root of 198957 is about 58.3785191844.

The spelling of 198957 in words is "one hundred ninety-eight thousand, nine hundred fifty-seven".

Divisors: 1 3 11 33 6029 18087 66319 198957