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6400064 = 26119091
BaseRepresentation
bin11000011010100001000000
3110001011020102
4120122201000
53114300224
6345101532
7105254036
oct30324100
913034212
106400064
113681510
1221878a8
131431128
14bc8556
158664ae
hex61a840

6400064 has 28 divisors (see below), whose sum is σ = 13856208. Its totient is φ = 2908800.

The previous prime is 6400033. The next prime is 6400091. The reversal of 6400064 is 4600046.

6400064 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 3842 + ... + 5249.

Almost surely, 26400064 is an apocalyptic number.

6400064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6400064 is an abundant number, since it is smaller than the sum of its proper divisors (7456144).

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

6400064 is a wasteful number, since it uses less digits than its factorization.

6400064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9114 (or 9104 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 6400064 is about 2529.8347772137. The cubic root of 6400064 is about 185.6641722210.

It can be divided in two parts, 64000 and 64, that multiplied together give a cube (4096000 = 1603).

The spelling of 6400064 in words is "six million, four hundred thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 9091 18182 36364 72728 100001 145456 200002 290912 400004 581824 800008 1600016 3200032 6400064