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6493840 = 24581173
BaseRepresentation
bin11000110001011010010000
3110012220212121
4120301122100
53130300330
6351104024
7106124323
oct30613220
913186777
106493840
113735a11
122212014
131464a12
14c107ba
1588417a
hex631690

6493840 has 20 divisors (see below), whose sum is σ = 15098364. Its totient is φ = 2597504.

The previous prime is 6493831. The next prime is 6493853. The reversal of 6493840 is 483946.

It can be written as a sum of positive squares in 2 ways, for example, as 1982464 + 4511376 = 1408^2 + 2124^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 6493796 and 6493805.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40507 + ... + 40666.

Almost surely, 26493840 is an apocalyptic number.

It is an amenable number.

6493840 is an abundant number, since it is smaller than the sum of its proper divisors (8604524).

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

6493840 is a wasteful number, since it uses less digits than its factorization.

6493840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81186 (or 81180 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 6493840 is about 2548.3013950473. The cubic root of 6493840 is about 186.5665846723.

It can be divided in two parts, 649 and 3840, that added together give a square (4489 = 672).

The spelling of 6493840 in words is "six million, four hundred ninety-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 81173 162346 324692 405865 649384 811730 1298768 1623460 3246920 6493840