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4115104 = 25718371
BaseRepresentation
bin1111101100101010100000
321202001212021
433230222200
52023140404
6224111224
746656250
oct17545240
97661767
104115104
112360814
121465514
13b11096
14791960
15564454
hex3ecaa0

4115104 has 24 divisors (see below), whose sum is σ = 9259488. Its totient is φ = 1763520.

The previous prime is 4115101. The next prime is 4115117. The reversal of 4115104 is 4015114.

4115104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (4115101) by changing a digit.

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, 8962 + ... + 9409.

It is an arithmetic number, because the mean of its divisors is an integer number (385812).

Almost surely, 24115104 is an apocalyptic number.

It is an amenable number.

4115104 is an abundant number, since it is smaller than the sum of its proper divisors (5144384).

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

4115104 is a wasteful number, since it uses less digits than its factorization.

4115104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18388 (or 18380 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 4115104 is about 2028.5719114688. The cubic root of 4115104 is about 160.2483642704.

The spelling of 4115104 in words is "four million, one hundred fifteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 18371 36742 73484 128597 146968 257194 293936 514388 587872 1028776 2057552 4115104