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6420224 = 2831809
BaseRepresentation
bin11000011111011100000000
3110002011220002
4120133130000
53120421344
6345335132
7105366566
oct30373400
913064802
106420224
113695678
1221974a8
13143a365
14bd1a36
1586c44e
hex61f700

6420224 has 36 divisors (see below), whose sum is σ = 13245120. Its totient is φ = 3102720.

The previous prime is 6420221. The next prime is 6420259. The reversal of 6420224 is 4220246.

It is a junction number, because it is equal to n+sod(n) for n = 6420196 and 6420205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6420221) 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, 7532 + ... + 8340.

It is an arithmetic number, because the mean of its divisors is an integer number (367920).

Almost surely, 26420224 is an apocalyptic number.

6420224 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 6420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6622560).

6420224 is an abundant number, since it is smaller than the sum of its proper divisors (6824896).

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

6420224 is an equidigital number, since it uses as much as digits as its factorization.

6420224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 6420224 is about 2533.8160943525. The cubic root of 6420224 is about 185.8589133191.

The spelling of 6420224 in words is "six million, four hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 809 992 1618 1984 3236 3968 6472 7936 12944 25079 25888 50158 51776 100316 103552 200632 207104 401264 802528 1605056 3210112 6420224