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4115136 = 26321433
BaseRepresentation
bin1111101100101011000000
321202001220110
433230223000
52023141021
6224111320
746656324
oct17545300
97661813
104115136
112360843
121465540
13b110bc
14791984
15564476
hex3ecac0

4115136 has 28 divisors (see below), whose sum is σ = 10888472. Its totient is φ = 1371648.

The previous prime is 4115131. The next prime is 4115141. The reversal of 4115136 is 6315114.

4115136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4115131) and next prime (4115141).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4115131) 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, 10525 + ... + 10908.

It is an arithmetic number, because the mean of its divisors is an integer number (388874).

Almost surely, 24115136 is an apocalyptic number.

It is an amenable number.

4115136 is an abundant number, since it is smaller than the sum of its proper divisors (6773336).

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

4115136 is a wasteful number, since it uses less digits than its factorization.

4115136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21448 (or 21438 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 4115136 is about 2028.5797987755. The cubic root of 4115136 is about 160.2487796455.

The spelling of 4115136 in words is "four million, one hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 21433 42866 64299 85732 128598 171464 257196 342928 514392 685856 1028784 1371712 2057568 4115136