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6705728 = 26293613
BaseRepresentation
bin11001100101001001000000
3110121200112022
4121211021000
53204040403
6355421012
7110666141
oct31451100
913550468
106705728
113870127
1222b4768
13150a2b3
14c67ac8
158c6d38
hex665240

6705728 has 28 divisors (see below), whose sum is σ = 13769340. Its totient is φ = 3236352.

The previous prime is 6705697. The next prime is 6705731. The reversal of 6705728 is 8275076.

It can be written as a sum of positive squares in 2 ways, for example, as 1098304 + 5607424 = 1048^2 + 2368^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50 + ... + 3662.

Almost surely, 26705728 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 6705728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6884670).

6705728 is an abundant number, since it is smaller than the sum of its proper divisors (7063612).

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

6705728 is a wasteful number, since it uses less digits than its factorization.

6705728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3654 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 6705728 is about 2589.5420444550. The cubic root of 6705728 is about 188.5740714134.

The spelling of 6705728 in words is "six million, seven hundred five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1856 3613 7226 14452 28904 57808 104777 115616 209554 231232 419108 838216 1676432 3352864 6705728