Search a number
-
+
12355137 = 3211171229
BaseRepresentation
bin101111001000…
…011001000001
3212020201001200
4233020121001
511130331022
61120451413
7210005544
oct57103101
925221050
1012355137
116a79663
124179b69
132737842
1418d885b
151140bac
hexbc8641

12355137 has 12 divisors (see below), whose sum is σ = 17876820. Its totient is φ = 8222688.

The previous prime is 12355129. The next prime is 12355139. The reversal of 12355137 is 73155321.

It can be written as a sum of positive squares in 2 ways, for example, as 6780816 + 5574321 = 2604^2 + 2361^2 .

It is not a de Polignac number, because 12355137 - 23 = 12355129 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12355137.

It is not an unprimeable number, because it can be changed into a prime (12355139) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9439 + ... + 10667.

It is an arithmetic number, because the mean of its divisors is an integer number (1489735).

Almost surely, 212355137 is an apocalyptic number.

It is an amenable number.

12355137 is a deficient number, since it is larger than the sum of its proper divisors (5521683).

12355137 is a wasteful number, since it uses less digits than its factorization.

12355137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2352 (or 2349 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 12355137 is about 3514.9874821968. The cubic root of 12355137 is about 231.1794299396.

The spelling of 12355137 in words is "twelve million, three hundred fifty-five thousand, one hundred thirty-seven".

Divisors: 1 3 9 1117 1229 3351 3687 10053 11061 1372793 4118379 12355137