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6328128 = 263231433
BaseRepresentation
bin11000001000111101000000
3102220111120010
4120020331000
53110000003
6343344520
7104534232
oct30107500
912814503
106328128
113632464
122152140
131407471
14baa252
15850003
hex608f40

6328128 has 56 divisors (see below), whose sum is σ = 17483328. Its totient is φ = 2016256.

The previous prime is 6328109. The next prime is 6328141. The reversal of 6328128 is 8218236.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 6328095 and 6328104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3700 + ... + 5132.

Almost surely, 26328128 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 6328128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8741664).

6328128 is an abundant number, since it is smaller than the sum of its proper divisors (11155200).

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

6328128 is a wasteful number, since it uses less digits than its factorization.

6328128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1461 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 6328128 is about 2515.5770709720. The cubic root of 6328128 is about 184.9659348040.

The spelling of 6328128 in words is "six million, three hundred twenty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1433 1472 2208 2866 4299 4416 5732 8598 11464 17196 22928 32959 34392 45856 65918 68784 91712 98877 131836 137568 197754 263672 275136 395508 527344 791016 1054688 1582032 2109376 3164064 6328128