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6413712 = 243413259
BaseRepresentation
bin11000011101110110010000
3110001211221220
4120131312100
53120214322
6345245040
7105341604
oct30356620
913054856
106413712
113690798
122193780
1314373c6
14bcd504
1586a55c
hex61dd90

6413712 has 40 divisors (see below), whose sum is σ = 16978080. Its totient is φ = 2085120.

The previous prime is 6413699. The next prime is 6413741. The reversal of 6413712 is 2173146.

It is a super-2 number, since 2×64137122 = 82271403237888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 62 + 48 + 1 + 310 + 78 + 1 + 219 .

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 7 ways as a sum of consecutive naturals, for example, 339 + ... + 3597.

It is an arithmetic number, because the mean of its divisors is an integer number (424452).

Almost surely, 26413712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6413712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8489040).

6413712 is an abundant number, since it is smaller than the sum of its proper divisors (10564368).

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

6413712 is a wasteful number, since it uses less digits than its factorization.

6413712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3311 (or 3305 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 6413712 is about 2532.5307500601. The cubic root of 6413712 is about 185.7960534833.

Adding to 6413712 its reverse (2173146), we get a palindrome (8586858).

The spelling of 6413712 in words is "six million, four hundred thirteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 3259 6518 9777 13036 19554 26072 39108 52144 78216 133619 156432 267238 400857 534476 801714 1068952 1603428 2137904 3206856 6413712