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98004 = 2238167
BaseRepresentation
bin10111111011010100
311222102210
4113323110
511114004
62033420
7555504
oct277324
9158383
1098004
11676a5
1248870
13357ba
1427a04
151e089
hex17ed4

98004 has 12 divisors (see below), whose sum is σ = 228704. Its totient is φ = 32664.

The previous prime is 97987. The next prime is 98009. The reversal of 98004 is 40089.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98009) by changing a digit.

98004 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4072 + ... + 4095.

298004 is an apocalyptic number.

It is an amenable number.

98004 is an abundant number, since it is smaller than the sum of its proper divisors (130700).

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 (114352).

98004 is a wasteful number, since it uses less digits than its factorization.

98004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8174 (or 8172 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 98004 is about 313.0559055504. The cubic root of 98004 is about 46.1049901823.

The spelling of 98004 in words is "ninety-eight thousand, four".

Divisors: 1 2 3 4 6 12 8167 16334 24501 32668 49002 98004