Search a number
-
+
198716 = 22747151
BaseRepresentation
bin110000100000111100
3101002120212
4300200330
522324331
64131552
71455230
oct604074
9332525
10198716
11126331
1296bb8
136c5ab
14525c0
153dd2b
hex3083c

198716 has 24 divisors (see below), whose sum is σ = 408576. Its totient is φ = 82800.

The previous prime is 198701. The next prime is 198719. The reversal of 198716 is 617891.

198716 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198719) 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, 1241 + ... + 1391.

It is an arithmetic number, because the mean of its divisors is an integer number (17024).

2198716 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 198716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204288).

198716 is an abundant number, since it is smaller than the sum of its proper divisors (209860).

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

198716 is a wasteful number, since it uses less digits than its factorization.

198716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 207 counting only the distinct ones).

The product of its digits is 3024, while the sum is 32.

The square root of 198716 is about 445.7757283657. The cubic root of 198716 is about 58.3549380291.

The spelling of 198716 in words is "one hundred ninety-eight thousand, seven hundred sixteen".

Divisors: 1 2 4 7 14 28 47 94 151 188 302 329 604 658 1057 1316 2114 4228 7097 14194 28388 49679 99358 198716