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6468714 = 2337109157
BaseRepresentation
bin11000101011010001101010
3110011122102000
4120223101222
53123444324
6350351430
7105661140
oct30532152
913148360
106468714
11371904a
1221bb576
131456455
14c05590
1587b9c9
hex62b46a

6468714 has 64 divisors (see below), whose sum is σ = 16684800. Its totient is φ = 1819584.

The previous prime is 6468697. The next prime is 6468767. The reversal of 6468714 is 4178646.

6468714 is a `hidden beast` number, since 646 + 8 + 7 + 1 + 4 = 666.

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 31 ways as a sum of consecutive naturals, for example, 41124 + ... + 41280.

It is an arithmetic number, because the mean of its divisors is an integer number (260700).

Almost surely, 26468714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6468714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8342400).

6468714 is an abundant number, since it is smaller than the sum of its proper divisors (10216086).

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

6468714 is a wasteful number, since it uses less digits than its factorization.

6468714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 278 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 6468714 is about 2543.3666664482. The cubic root of 6468714 is about 186.3256521942.

The spelling of 6468714 in words is "six million, four hundred sixty-eight thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 109 126 157 189 218 314 327 378 471 654 763 942 981 1099 1413 1526 1962 2198 2289 2826 2943 3297 4239 4578 5886 6594 6867 8478 9891 13734 17113 19782 20601 29673 34226 41202 51339 59346 102678 119791 154017 239582 308034 359373 462051 718746 924102 1078119 2156238 3234357 6468714