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104928 = 2531093
BaseRepresentation
bin11001100111100000
312022221020
4121213200
511324203
62125440
7614625
oct314740
9168836
10104928
117191a
1250880
13389b5
142a34c
1521153
hex199e0

104928 has 24 divisors (see below), whose sum is σ = 275688. Its totient is φ = 34944.

The previous prime is 104917. The next prime is 104933. The reversal of 104928 is 829401.

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

It is a super-2 number, since 2×1049282 = 22019770368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 104898 and 104907.

It is a congruent number.

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, 451 + ... + 642.

It is an arithmetic number, because the mean of its divisors is an integer number (11487).

2104928 is an apocalyptic number.

It is an amenable number.

104928 is an abundant number, since it is smaller than the sum of its proper divisors (170760).

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

104928 is a wasteful number, since it uses less digits than its factorization.

104928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 104928 is about 323.9259174564. The cubic root of 104928 is about 47.1661540369.

The spelling of 104928 in words is "one hundred four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1093 2186 3279 4372 6558 8744 13116 17488 26232 34976 52464 104928