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5820768 = 25336737
BaseRepresentation
bin10110001101000101100000
3101221201121000
4112031011200
52442231033
6324432000
7100322112
oct26150540
911851530
105820768
113316258
121b48600
13128a555
14ab73b2
1579ea13
hex58d160

5820768 has 48 divisors (see below), whose sum is σ = 16979760. Its totient is φ = 1939968.

The previous prime is 5820761. The next prime is 5820769. The reversal of 5820768 is 8670285.

5820768 is a `hidden beast` number, since 582 + 0 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5820761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2505 + ... + 4232.

It is an arithmetic number, because the mean of its divisors is an integer number (353745).

Almost surely, 25820768 is an apocalyptic number.

It is an amenable number.

5820768 is an abundant number, since it is smaller than the sum of its proper divisors (11158992).

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

5820768 is a wasteful number, since it uses less digits than its factorization.

5820768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6756 (or 6742 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5820768 is about 2412.6267842333. The cubic root of 5820768 is about 179.8843701812.

The spelling of 5820768 in words is "five million, eight hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 6737 13474 20211 26948 40422 53896 60633 80844 107792 121266 161688 181899 215584 242532 323376 363798 485064 646752 727596 970128 1455192 1940256 2910384 5820768