Search a number
-
+
12135935 = 572691289
BaseRepresentation
bin101110010010…
…110111111111
3211211120101002
4232102313333
511101322220
61112040515
7205103510
oct56226777
924746332
1012135935
1169399a9
12409313b
13268bb36
14187ca07
1510eac75
hexb92dff

12135935 has 16 divisors (see below), whose sum is σ = 16718400. Its totient is φ = 8284416.

The previous prime is 12135931. The next prime is 12135941. The reversal of 12135935 is 53953121.

It is not a de Polignac number, because 12135935 - 22 = 12135931 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12135898 and 12135907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12135931) 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 15 ways as a sum of consecutive naturals, for example, 8771 + ... + 10059.

It is an arithmetic number, because the mean of its divisors is an integer number (1044900).

Almost surely, 212135935 is an apocalyptic number.

12135935 is a deficient number, since it is larger than the sum of its proper divisors (4582465).

12135935 is a wasteful number, since it uses less digits than its factorization.

12135935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570.

The product of its digits is 4050, while the sum is 29.

The square root of 12135935 is about 3483.6668899308. Note that the first 3 decimals coincide. The cubic root of 12135935 is about 229.8040864768.

The spelling of 12135935 in words is "twelve million, one hundred thirty-five thousand, nine hundred thirty-five".

Divisors: 1 5 7 35 269 1289 1345 1883 6445 9023 9415 45115 346741 1733705 2427187 12135935