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5360832 = 263241227
BaseRepresentation
bin10100011100110011000000
3101002100200100
4110130303000
52333021312
6310522400
763365151
oct24346300
911070610
105360832
113031744
121966400
1311590b9
149d7928
1570d5dc
hex51ccc0

5360832 has 84 divisors (see below), whose sum is σ = 15809976. Its totient is φ = 1735680.

The previous prime is 5360827. The next prime is 5360837. The reversal of 5360832 is 2380635.

5360832 = 283 + 293 + ... + 683.

5360832 is a `hidden beast` number, since 53 + 608 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5360827) and next prime (5360837).

It is a junction number, because it is equal to n+sod(n) for n = 5360796 and 5360805.

It is not an unprimeable number, because it can be changed into a prime (5360837) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23503 + ... + 23729.

It is an arithmetic number, because the mean of its divisors is an integer number (188214).

Almost surely, 25360832 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 5360832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7904988).

5360832 is an abundant number, since it is smaller than the sum of its proper divisors (10449144).

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

5360832 is a wasteful number, since it uses less digits than its factorization.

5360832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5360832 is about 2315.3470582183. The cubic root of 5360832 is about 175.0158570665.

The spelling of 5360832 in words is "five million, three hundred sixty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 144 164 192 227 246 288 328 369 454 492 576 656 681 738 908 984 1312 1362 1476 1816 1968 2043 2624 2724 2952 3632 3936 4086 5448 5904 7264 7872 8172 9307 10896 11808 14528 16344 18614 21792 23616 27921 32688 37228 43584 55842 65376 74456 83763 111684 130752 148912 167526 223368 297824 335052 446736 595648 670104 893472 1340208 1786944 2680416 5360832