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6420928 = 26412447
BaseRepresentation
bin11000011111100111000000
3110002012212011
4120133213000
53120432203
6345342304
7105401623
oct30374700
913065764
106420928
113696158
122197994
13143a787
14bd1dba
1586c76d
hex61f9c0

6420928 has 28 divisors (see below), whose sum is σ = 13057632. Its totient is φ = 3130880.

The previous prime is 6420913. The next prime is 6420959. The reversal of 6420928 is 8290246.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 6420928.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1401 + ... + 3847.

It is an arithmetic number, because the mean of its divisors is an integer number (466344).

Almost surely, 26420928 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 6420928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6528816).

6420928 is an abundant number, since it is smaller than the sum of its proper divisors (6636704).

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

6420928 is a wasteful number, since it uses less digits than its factorization.

6420928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 6420928 is about 2533.9550114396. The cubic root of 6420928 is about 185.8657064307.

The spelling of 6420928 in words is "six million, four hundred twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 2447 2624 4894 9788 19576 39152 78304 100327 156608 200654 401308 802616 1605232 3210464 6420928