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5360 = 24567
BaseRepresentation
bin1010011110000
321100112
41103300
5132420
640452
721425
oct12360
97315
105360
114033
123128
132594
141d4c
1518c5
hex14f0

5360 has 20 divisors (see below), whose sum is σ = 12648. Its totient is φ = 2112.

The previous prime is 5351. The next prime is 5381. The reversal of 5360 is 635.

Adding to 5360 its reverse (635), we get a palindrome (5995).

It is a happy number.

5360 is nontrivially palindromic in base 3.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5360.

It is an unprimeable number.

5360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47 + ... + 113.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6324).

5360 is an abundant number, since it is smaller than the sum of its proper divisors (7288).

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

5360 is a wasteful number, since it uses less digits than its factorization.

5360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 5360 is about 73.2120208709. The cubic root of 5360 is about 17.5006802457.

The spelling of 5360 in words is "five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 5360