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5360824 = 237293301
BaseRepresentation
bin10100011100110010111000
3101002100200001
4110130302320
52333021244
6310522344
763365140
oct24346270
911070601
105360824
113031737
1219663b4
1311590b1
149d7920
1570d5d4
hex51ccb8

5360824 has 32 divisors (see below), whose sum is σ = 11887200. Its totient is φ = 2217600.

The previous prime is 5360821. The next prime is 5360827. The reversal of 5360824 is 4280635.

It is an interprime number because it is at equal distance from previous prime (5360821) and next prime (5360827).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 5360792 and 5360801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5360821) 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, 27 + ... + 3274.

It is an arithmetic number, because the mean of its divisors is an integer number (371475).

Almost surely, 25360824 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 5360824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5943600).

5360824 is an abundant number, since it is smaller than the sum of its proper divisors (6526376).

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

5360824 is a wasteful number, since it uses less digits than its factorization.

5360824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3343 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 5360824 is about 2315.3453306149. The cubic root of 5360824 is about 175.0157700074.

The spelling of 5360824 in words is "five million, three hundred sixty thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 812 1624 3301 6602 13204 23107 26408 46214 92428 95729 184856 191458 382916 670103 765832 1340206 2680412 5360824