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4107064 = 23131723101
BaseRepresentation
bin1111101010101100111000
321201122211111
433222230320
52022411224
6224010104
746623643
oct17525470
97648744
104107064
112355775
121460934
13b0a520
1478ca5a
15561d94
hex3eab38

4107064 has 64 divisors (see below), whose sum is σ = 9253440. Its totient is φ = 1689600.

The previous prime is 4107029. The next prime is 4107101. The reversal of 4107064 is 4607014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40614 + ... + 40714.

It is an arithmetic number, because the mean of its divisors is an integer number (144585).

Almost surely, 24107064 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 4107064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4626720).

4107064 is an abundant number, since it is smaller than the sum of its proper divisors (5146376).

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

4107064 is a wasteful number, since it uses less digits than its factorization.

4107064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 4107064 is about 2026.5892529075. The cubic root of 4107064 is about 160.1439329818.

The spelling of 4107064 in words is "four million, one hundred seven thousand, sixty-four".

Divisors: 1 2 4 8 13 17 23 26 34 46 52 68 92 101 104 136 184 202 221 299 391 404 442 598 782 808 884 1196 1313 1564 1717 1768 2323 2392 2626 3128 3434 4646 5083 5252 6868 9292 10166 10504 13736 18584 20332 22321 30199 39491 40664 44642 60398 78982 89284 120796 157964 178568 241592 315928 513383 1026766 2053532 4107064