Search a number
-
+
5368608 = 253272663
BaseRepresentation
bin10100011110101100100000
3101002202100100
4110132230200
52333243413
6311022400
763426630
oct24365440
911082310
105368608
113037573
12196aa00
13115c7bb
149da6c0
15710a73
hex51eb20

5368608 has 72 divisors (see below), whose sum is σ = 17454528. Its totient is φ = 1533312.

The previous prime is 5368607. The next prime is 5368609. The reversal of 5368608 is 8068635.

It is an interprime number because it is at equal distance from previous prime (5368607) and next prime (5368609).

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 not an unprimeable number, because it can be changed into a prime (5368607) 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, 685 + ... + 3347.

It is an arithmetic number, because the mean of its divisors is an integer number (242424).

Almost surely, 25368608 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 5368608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8727264).

5368608 is an abundant number, since it is smaller than the sum of its proper divisors (12085920).

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

5368608 is a wasteful number, since it uses less digits than its factorization.

5368608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5368608 is about 2317.0256796160. The cubic root of 5368608 is about 175.1004375830.

The spelling of 5368608 in words is "five million, three hundred sixty-eight thousand, six hundred eight".

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 2663 5326 7989 10652 15978 18641 21304 23967 31956 37282 42608 47934 55923 63912 74564 85216 95868 111846 127824 149128 167769 191736 223692 255648 298256 335538 383472 447384 596512 671076 766944 894768 1342152 1789536 2684304 5368608