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5368 = 231161
BaseRepresentation
bin1010011111000
321100211
41103320
5132433
640504
721436
oct12370
97324
105368
114040
123134
13259c
141d56
1518cd
hex14f8

5368 has 16 divisors (see below), whose sum is σ = 11160. Its totient is φ = 2400.

The previous prime is 5351. The next prime is 5381. The reversal of 5368 is 8635.

5368 is nontrivially palindromic in base 6.

It is a Harshad number since it is a multiple of its sum of digits (22).

5368 is an undulating number in base 11.

It is a plaindrome in base 13 and base 15.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 58 + ... + 118.

25368 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 5368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5580).

5368 is an abundant number, since it is smaller than the sum of its proper divisors (5792).

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

5368 is a wasteful number, since it uses less digits than its factorization.

With its successor (5369) it forms an eRAP, since the sums of their prime factors are consecutive (78 and 79).

5368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 74 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 5368 is about 73.2666363361. The cubic root of 5368 is about 17.5093827236.

It can be divided in two parts, 53 and 68, that added together give a palindrome (121).

The spelling of 5368 in words is "five thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 61 88 122 244 488 671 1342 2684 5368