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6406240 = 25540039
BaseRepresentation
bin11000011100000001100000
3110001110201011
4120130001200
53114444430
6345150304
7105311041
oct30340140
913043634
106406240
113686115
12218b394
131433b99
14bca8c8
1586822a
hex61c060

6406240 has 24 divisors (see below), whose sum is σ = 15135120. Its totient is φ = 2562432.

The previous prime is 6406219. The next prime is 6406247. The reversal of 6406240 is 426046.

It is a d-powerful number, because it can be written as 65 + 44 + 0 + 68 + 219 + 411 + 0 .

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6406247) by changing a digit.

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, 19860 + ... + 20179.

It is an arithmetic number, because the mean of its divisors is an integer number (630630).

Almost surely, 26406240 is an apocalyptic number.

It is an amenable number.

6406240 is an abundant number, since it is smaller than the sum of its proper divisors (8728880).

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

6406240 is a wasteful number, since it uses less digits than its factorization.

6406240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40054 (or 40046 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 6406240 is about 2531.0551159546. The cubic root of 6406240 is about 185.7238743993.

The spelling of 6406240 in words is "six million, four hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 40039 80078 160156 200195 320312 400390 640624 800780 1281248 1601560 3203120 6406240