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5368736 = 251771139
BaseRepresentation
bin10100011110101110100000
3101002202112002
4110132232200
52333244421
6311023132
763430202
oct24365640
911082462
105368736
11303767a
12196aaa8
13115c889
149da772
15710b0b
hex51eba0

5368736 has 48 divisors (see below), whose sum is σ = 11430720. Its totient is φ = 2472960.

The previous prime is 5368703. The next prime is 5368739. The reversal of 5368736 is 6378635.

It is a d-powerful number, because it can be written as 59 + 35 + 68 + 85 + 75 + 38 + 68 .

It is a self number, because there is not a number n which added to its sum of digits gives 5368736.

It is not an unprimeable number, because it can be changed into a prime (5368739) by changing a digit.

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, 38555 + ... + 38693.

It is an arithmetic number, because the mean of its divisors is an integer number (238140).

Almost surely, 25368736 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 5368736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715360).

5368736 is an abundant number, since it is smaller than the sum of its proper divisors (6061984).

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

5368736 is a wasteful number, since it uses less digits than its factorization.

5368736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 229 counting only the distinct ones).

The product of its digits is 90720, while the sum is 38.

The square root of 5368736 is about 2317.0533010701. The cubic root of 5368736 is about 175.1018291714.

The spelling of 5368736 in words is "five million, three hundred sixty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 68 71 136 139 142 272 278 284 544 556 568 1112 1136 1207 2224 2272 2363 2414 4448 4726 4828 9452 9656 9869 18904 19312 19738 37808 38624 39476 75616 78952 157904 167773 315808 335546 671092 1342184 2684368 5368736