Search a number
-
+
5137405 = 572131613
BaseRepresentation
bin10011100110001111111101
3100200000012021
4103212033331
52303344110
6302040141
761444600
oct23461775
910600167
105137405
112999899
121879051
1310ab4b0
1497a337
156b72da
hex4e63fd

5137405 has 24 divisors (see below), whose sum is σ = 7727832. Its totient is φ = 3249792.

The previous prime is 5137403. The next prime is 5137453. The reversal of 5137405 is 5047315.

It can be written as a sum of positive squares in 4 ways, for example, as 182329 + 4955076 = 427^2 + 2226^2 .

It is not a de Polignac number, because 5137405 - 21 = 5137403 is a prime.

5137405 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 5137405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5137403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2379 + ... + 3991.

It is an arithmetic number, because the mean of its divisors is an integer number (321993).

Almost surely, 25137405 is an apocalyptic number.

It is an amenable number.

5137405 is a deficient number, since it is larger than the sum of its proper divisors (2590427).

5137405 is a wasteful number, since it uses less digits than its factorization.

5137405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 5137405 is about 2266.5844347829. The cubic root of 5137405 is about 172.5498560646.

The spelling of 5137405 in words is "five million, one hundred thirty-seven thousand, four hundred five".

Divisors: 1 5 7 13 35 49 65 91 245 455 637 1613 3185 8065 11291 20969 56455 79037 104845 146783 395185 733915 1027481 5137405