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4107136 = 27112917
BaseRepresentation
bin1111101010101110000000
321201122221011
433222232000
52022412021
6224010304
746624105
oct17525600
97648834
104107136
112355830
121460994
13b0a577
1478caac
15561de1
hex3eab80

4107136 has 32 divisors (see below), whose sum is σ = 8929080. Its totient is φ = 1866240.

The previous prime is 4107127. The next prime is 4107143. The reversal of 4107136 is 6317014.

4107136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×41071362 = 33737132244992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable 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, 51 + ... + 2866.

Almost surely, 24107136 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 4107136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464540).

4107136 is an abundant number, since it is smaller than the sum of its proper divisors (4821944).

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

4107136 is a wasteful number, since it uses less digits than its factorization.

4107136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2942 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 4107136 is about 2026.6070166660. The cubic root of 4107136 is about 160.1448687919.

The spelling of 4107136 in words is "four million, one hundred seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 2917 5834 11668 23336 32087 46672 64174 93344 128348 186688 256696 373376 513392 1026784 2053568 4107136