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198927 = 3223312
BaseRepresentation
bin110000100100001111
3101002212200
4300210033
522331202
64132543
71455651
oct604417
9332780
10198927
11126503
1297153
136c711
14526d1
153de1c
hex3090f

198927 has 18 divisors (see below), whose sum is σ = 309816. Its totient is φ = 122760.

The previous prime is 198901. The next prime is 198929. The reversal of 198927 is 729891.

It is a happy number.

It is not a de Polignac number, because 198927 - 211 = 196879 is a prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 198891 and 198900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198929) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6402 + ... + 6432.

It is an arithmetic number, because the mean of its divisors is an integer number (17212).

2198927 is an apocalyptic number.

198927 is a deficient number, since it is larger than the sum of its proper divisors (110889).

198927 is a wasteful number, since it uses less digits than its factorization.

198927 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 57 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 198927 is about 446.0123316681. The cubic root of 198927 is about 58.3755848089.

Subtracting from 198927 its sum of digits (36), we obtain a palindrome (198891).

It can be divided in two parts, 1989 and 27, that added together give a triangular number (2016 = T63).

The spelling of 198927 in words is "one hundred ninety-eight thousand, nine hundred twenty-seven".

Divisors: 1 3 9 23 31 69 93 207 279 713 961 2139 2883 6417 8649 22103 66309 198927