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98364 = 22371171
BaseRepresentation
bin11000000000111100
311222221010
4120000330
511121424
62035220
7556530
oct300074
9158833
1098364
11679a2
1248b10
1335a06
1427bc0
151e229
hex1803c

98364 has 24 divisors (see below), whose sum is σ = 262528. Its totient is φ = 28080.

The previous prime is 98347. The next prime is 98369. The reversal of 98364 is 46389.

It is a zygodrome in base 2.

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 98364.

It is not an unprimeable number, because it can be changed into a prime (98369) 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, 502 + ... + 669.

298364 is an apocalyptic number.

98364 is the 168-th nonagonal number.

It is an amenable number.

98364 is an abundant number, since it is smaller than the sum of its proper divisors (164164).

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 (131264).

98364 is a wasteful number, since it uses less digits than its factorization.

98364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1183 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 98364 is about 313.6303556737. The cubic root of 98364 is about 46.1613739858.

The spelling of 98364 in words is "ninety-eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1171 2342 3513 4684 7026 8197 14052 16394 24591 32788 49182 98364