5130 has 32 divisors (see below), whose sum is σ = 14400. Its totient is φ = 1296.

The previous prime is 5119. The next prime is 5147. The reversal of 5130 is 315.

5130 = 30^{2} + 31^{2} + ... + 34^{2}.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a plaindrome in base 13.

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261 + ... + 279.

It is an arithmetic number, because the mean of its divisors is an integer number (450).

2^{5130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7200).

5130 is an abundant number, since it is smaller than the sum of its proper divisors (9270).

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

5130 is a wasteful number, since it uses less digits than its factorization.

5130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 5130 is about 71.6240183179. The cubic root of 5130 is about 17.2466912368.

Subtracting from 5130 its product of nonzero digits (15), we obtain a palindrome (5115).

Adding to 5130 its reverse (315), we get a palindrome (5445).

It can be divided in two parts, 51 and 30, that added together give a 4-th power (81 = 3^{4}).

The spelling of 5130 in words is "five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 5130

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