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99168 = 2531033
BaseRepresentation
bin11000001101100000
312001000220
4120031200
511133133
62043040
7562056
oct301540
9161026
1099168
1168563
1249480
13361a4
14281d6
151e5b3
hex18360

99168 has 24 divisors (see below), whose sum is σ = 260568. Its totient is φ = 33024.

The previous prime is 99149. The next prime is 99173. The reversal of 99168 is 86199.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

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 99168.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 421 + ... + 612.

It is an arithmetic number, because the mean of its divisors is an integer number (10857).

299168 is an apocalyptic number.

It is an amenable number.

99168 is an abundant number, since it is smaller than the sum of its proper divisors (161400).

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 (130284).

99168 is a wasteful number, since it uses less digits than its factorization.

99168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1038 counting only the distinct ones).

The product of its digits is 3888, while the sum is 33.

The square root of 99168 is about 314.9095108122. The cubic root of 99168 is about 46.2868029443.

The spelling of 99168 in words is "ninety-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1033 2066 3099 4132 6198 8264 12396 16528 24792 33056 49584 99168