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5384736 = 253272671
BaseRepresentation
bin10100100010101000100000
3101010120110200
4110202220200
52334302421
6311225200
763524640
oct24425040
911116420
105384736
1130486a5
121978200
131166c46
14a02520
15715726
hex522a20

5384736 has 72 divisors (see below), whose sum is σ = 17506944. Its totient is φ = 1537920.

The previous prime is 5384713. The next prime is 5384777. The reversal of 5384736 is 6374835.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5384736.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 681 + ... + 3351.

It is an arithmetic number, because the mean of its divisors is an integer number (243152).

Almost surely, 25384736 is an apocalyptic number.

5384736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5384736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8753472).

5384736 is an abundant number, since it is smaller than the sum of its proper divisors (12122208).

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

5384736 is a wasteful number, since it uses less digits than its factorization.

5384736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694 (or 2683 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 5384736 is about 2320.5033936627. The cubic root of 5384736 is about 175.2756038247.

Subtracting 5384736 from its reverse (6374835), we obtain a palindrome (990099).

The spelling of 5384736 in words is "five million, three hundred eighty-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 2671 5342 8013 10684 16026 18697 21368 24039 32052 37394 42736 48078 56091 64104 74788 85472 96156 112182 128208 149576 168273 192312 224364 256416 299152 336546 384624 448728 598304 673092 769248 897456 1346184 1794912 2692368 5384736