Search a number
-
+
5135871 = 3131929239
BaseRepresentation
bin10011100101110111111111
3100122221002110
4103211313333
52303321441
6302025103
761440246
oct23456777
910587073
105135871
112998724
121878193
1310aa8a0
1497995d
156b6b16
hex4e5dff

5135871 has 32 divisors (see below), whose sum is σ = 8064000. Its totient is φ = 2878848.

The previous prime is 5135839. The next prime is 5135873. The reversal of 5135871 is 1785315.

5135871 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5135871 - 25 = 5135839 is a prime.

It is a plaindrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5135873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21370 + ... + 21608.

It is an arithmetic number, because the mean of its divisors is an integer number (252000).

Almost surely, 25135871 is an apocalyptic number.

5135871 is a deficient number, since it is larger than the sum of its proper divisors (2928129).

5135871 is a wasteful number, since it uses less digits than its factorization.

5135871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303.

The product of its digits is 4200, while the sum is 30.

The square root of 5135871 is about 2266.2460148889. The cubic root of 5135871 is about 172.5326802187.

It can be divided in two parts, 5135 and 871, that added together give a palindrome (6006).

The spelling of 5135871 in words is "five million, one hundred thirty-five thousand, eight hundred seventy-one".

Divisors: 1 3 13 19 29 39 57 87 239 247 377 551 717 741 1131 1653 3107 4541 6931 7163 9321 13623 20793 21489 59033 90103 131689 177099 270309 395067 1711957 5135871