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99904 = 267223
BaseRepresentation
bin11000011001000000
312002001011
4120121000
511144104
62050304
7564160
oct303100
9162034
1099904
1169072
1249994
133661c
14285a0
151e904
hex18640

99904 has 28 divisors (see below), whose sum is σ = 227584. Its totient is φ = 42624.

The previous prime is 99901. The next prime is 99907. The reversal of 99904 is 40999.

99904 is nontrivially palindromic in base 12.

It is an interprime number because it is at equal distance from previous prime (99901) and next prime (99907).

It is a tau number, because it is divible by the number of its divisors (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 337 + ... + 559.

It is an arithmetic number, because the mean of its divisors is an integer number (8128).

299904 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 99904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113792).

99904 is an abundant number, since it is smaller than the sum of its proper divisors (127680).

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

99904 is a wasteful number, since it uses less digits than its factorization.

99904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 31.

The square root of 99904 is about 316.0759402422. The cubic root of 99904 is about 46.4010304963.

The spelling of 99904 in words is "ninety-nine thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 223 224 446 448 892 1561 1784 3122 3568 6244 7136 12488 14272 24976 49952 99904