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3860064 = 2532131031
BaseRepresentation
bin1110101110011001100000
321021010000100
432232121200
51442010224
6214422400
744544555
oct16563140
97233010
103860064
1121a713a
121361a00
13a51c80
14726a2c
15513ac9
hex3ae660

3860064 has 72 divisors (see below), whose sum is σ = 11832912. Its totient is φ = 1186560.

The previous prime is 3860041. The next prime is 3860083. The reversal of 3860064 is 4600683.

3860064 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 (72).

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 11 ways as a sum of consecutive naturals, for example, 3229 + ... + 4259.

It is an arithmetic number, because the mean of its divisors is an integer number (164346).

Almost surely, 23860064 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 3860064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5916456).

3860064 is an abundant number, since it is smaller than the sum of its proper divisors (7972848).

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

3860064 is a wasteful number, since it uses less digits than its factorization.

3860064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3860064 is about 1964.7045579425. The cubic root of 3860064 is about 156.8669677850.

The spelling of 3860064 in words is "three million, eight hundred sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1031 1248 1872 2062 3093 3744 4124 6186 8248 9279 12372 13403 16496 18558 24744 26806 32992 37116 40209 49488 53612 74232 80418 98976 107224 120627 148464 160836 214448 241254 296928 321672 428896 482508 643344 965016 1286688 1930032 3860064