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6904064 = 28149181
BaseRepresentation
bin11010010101100100000000
3110222202121002
4122111210000
53231412224
6403551132
7112453316
oct32254400
913882532
106904064
113996142
12238b4a8
13157965b
14cba0b6
159159ae
hex695900

6904064 has 36 divisors (see below), whose sum is σ = 13950300. Its totient is φ = 3409920.

The previous prime is 6904063. The next prime is 6904067. The reversal of 6904064 is 4604096.

It can be written as a sum of positive squares in 2 ways, for example, as 350464 + 6553600 = 592^2 + 2560^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (6904063) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38054 + ... + 38234.

Almost surely, 26904064 is an apocalyptic number.

6904064 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 6904064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6975150).

6904064 is an abundant number, since it is smaller than the sum of its proper divisors (7046236).

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

6904064 is a wasteful number, since it uses less digits than its factorization.

6904064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 6904064 is about 2627.5585626204. The cubic root of 6904064 is about 190.4151954542.

Subtracting from 6904064 its reverse (4604096), we obtain a cube (2299968 = 1323).

The spelling of 6904064 in words is "six million, nine hundred four thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 149 181 256 298 362 596 724 1192 1448 2384 2896 4768 5792 9536 11584 19072 23168 26969 38144 46336 53938 107876 215752 431504 863008 1726016 3452032 6904064