Search a number
-
+
98164 = 22112397
BaseRepresentation
bin10111111101110100
311222122201
4113331310
511120124
62034244
7556123
oct277564
9158581
1098164
1167830
1248984
13358b1
1427aba
151e144
hex17f74

98164 has 24 divisors (see below), whose sum is σ = 197568. Its totient is φ = 42240.

The previous prime is 98143. The next prime is 98179. The reversal of 98164 is 46189.

98164 is nontrivially palindromic in base 12.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 964 + ... + 1060.

It is an arithmetic number, because the mean of its divisors is an integer number (8232).

298164 is an apocalyptic number.

It is an amenable number.

98164 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98784).

98164 is a wasteful number, since it uses less digits than its factorization.

98164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 133 counting only the distinct ones).

The product of its digits is 1728, while the sum is 28.

The square root of 98164 is about 313.3113467463. The cubic root of 98164 is about 46.1300666678.

It can be divided in two parts, 98 and 164, that added together give a palindrome (262).

The spelling of 98164 in words is "ninety-eight thousand, one hundred sixty-four".

Divisors: 1 2 4 11 22 23 44 46 92 97 194 253 388 506 1012 1067 2134 2231 4268 4462 8924 24541 49082 98164