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6505993 = 132137281
BaseRepresentation
bin11000110100011000001001
3110020112112201
4120310120021
53131142433
6351240201
7106204624
oct30643011
913215481
106505993
11374405a
122219061
13146a400
14c14dbb
15887a7d
hex634609

6505993 has 12 divisors (see below), whose sum is σ = 7121628. Its totient is φ = 5940480.

The previous prime is 6505991. The next prime is 6505997. The reversal of 6505993 is 3995056.

It can be written as a sum of positive squares in 6 ways, for example, as 419904 + 6086089 = 648^2 + 2467^2 .

It is not a de Polignac number, because 6505993 - 21 = 6505991 is a prime.

It is a Duffinian number.

6505993 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (6505991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23013 + ... + 23293.

It is an arithmetic number, because the mean of its divisors is an integer number (593469).

Almost surely, 26505993 is an apocalyptic number.

It is an amenable number.

6505993 is a deficient number, since it is larger than the sum of its proper divisors (615635).

6505993 is a wasteful number, since it uses less digits than its factorization.

6505993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 37.

The square root of 6505993 is about 2550.6848100069. The cubic root of 6505993 is about 186.6828964772.

The spelling of 6505993 in words is "six million, five hundred five thousand, nine hundred ninety-three".

Divisors: 1 13 137 169 281 1781 3653 23153 38497 47489 500461 6505993