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6705664 = 2971871
BaseRepresentation
bin11001100101001000000000
3110121200102221
4121211020000
53204040124
6355420424
7110666020
oct31451000
913550387
106705664
113870079
1222b4714
13150a264
14c67a80
158c6ce4
hex665200

6705664 has 40 divisors (see below), whose sum is σ = 15320448. Its totient is φ = 2872320.

The previous prime is 6705661. The next prime is 6705697. The reversal of 6705664 is 4665076.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (6705661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2649 + ... + 4519.

Almost surely, 26705664 is an apocalyptic number.

6705664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6705664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7660224).

6705664 is an abundant number, since it is smaller than the sum of its proper divisors (8614784).

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

6705664 is an equidigital number, since it uses as much as digits as its factorization.

6705664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 6705664 is about 2589.5296870281. The cubic root of 6705664 is about 188.5734714895.

The spelling of 6705664 in words is "six million, seven hundred five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 1871 3584 3742 7484 13097 14968 26194 29936 52388 59872 104776 119744 209552 239488 419104 478976 838208 957952 1676416 3352832 6705664