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5340 = 223589
BaseRepresentation
bin1010011011100
321022210
41103130
5132330
640420
721366
oct12334
97283
105340
114015
123110
13257a
141d36
1518b0
hex14dc

5340 has 24 divisors (see below), whose sum is σ = 15120. Its totient is φ = 1408.

The previous prime is 5333. The next prime is 5347. The reversal of 5340 is 435.

It is an interprime number because it is at equal distance from previous prime (5333) and next prime (5347).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a plaindrome in base 8 and base 13.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5347) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 16 + ... + 104.

It is an arithmetic number, because the mean of its divisors is an integer number (630).

25340 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 5340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7560).

5340 is an abundant number, since it is smaller than the sum of its proper divisors (9780).

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

5340 is a wasteful number, since it uses less digits than its factorization.

5340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 5340 is about 73.0753036258. The cubic root of 5340 is about 17.4788861008.

Multiplying 5340 by its product of nonzero digits (60), we get a triangular number (320400 = T800).

Adding to 5340 its reverse (435), we get a palindrome (5775).

The spelling of 5340 in words is "five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 445 534 890 1068 1335 1780 2670 5340