Search a number
-
+
5105313 = 32567257
BaseRepresentation
bin10011011110011010100001
3100121101011200
4103132122201
52301332223
6301231413
761252203
oct23363241
910541150
105105313
112977774
121862569
1310999c5
1496c773
156aca43
hex4de6a1

5105313 has 6 divisors (see below), whose sum is σ = 7374354. Its totient is φ = 3403536.

The previous prime is 5105299. The next prime is 5105327. The reversal of 5105313 is 3135015.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5105299) and next prime (5105327).

It can be written as a sum of positive squares in only one way, i.e., 2634129 + 2471184 = 1623^2 + 1572^2 .

It is not a de Polignac number, because 5105313 - 210 = 5104289 is a prime.

5105313 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105393) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 283620 + ... + 283637.

It is an arithmetic number, because the mean of its divisors is an integer number (1229059).

Almost surely, 25105313 is an apocalyptic number.

It is an amenable number.

5105313 is a deficient number, since it is larger than the sum of its proper divisors (2269041).

5105313 is a wasteful number, since it uses less digits than its factorization.

5105313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567263 (or 567260 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 5105313 is about 2259.4939698968. The cubic root of 5105313 is about 172.1898143360.

The spelling of 5105313 in words is "five million, one hundred five thousand, three hundred thirteen".

Divisors: 1 3 9 567257 1701771 5105313