Search a number
-
+
12535137 = 321781929
BaseRepresentation
bin101111110100…
…010101100001
3212120211222100
4233310111201
511202111022
61124401013
7211355406
oct57642541
925524870
1012535137
11709191a
124246169
13279b754
1419442ad
1511791ac
hexbf4561

12535137 has 12 divisors (see below), whose sum is σ = 19171620. Its totient is φ = 7865088.

The previous prime is 12535123. The next prime is 12535141. The reversal of 12535137 is 73153521.

It can be written as a sum of positive squares in 2 ways, for example, as 6230016 + 6305121 = 2496^2 + 2511^2 .

It is not a de Polignac number, because 12535137 - 211 = 12533089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12535137.

It is not an unprimeable number, because it can be changed into a prime (12535147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40812 + ... + 41117.

It is an arithmetic number, because the mean of its divisors is an integer number (1597635).

Almost surely, 212535137 is an apocalyptic number.

12535137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12535137 is a deficient number, since it is larger than the sum of its proper divisors (6636483).

12535137 is a wasteful number, since it uses less digits than its factorization.

12535137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81952 (or 81949 counting only the distinct ones).

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

The square root of 12535137 is about 3540.4995410252. The cubic root of 12535137 is about 232.2966935879.

Adding to 12535137 its reverse (73153521), we get a palindrome (85688658).

The spelling of 12535137 in words is "twelve million, five hundred thirty-five thousand, one hundred thirty-seven".

Divisors: 1 3 9 17 51 153 81929 245787 737361 1392793 4178379 12535137