Search a number
-
+
13135434 = 2313295807
BaseRepresentation
bin110010000110…
…111001001010
3220201100102120
4302012321022
511330313214
61145312110
7216435504
oct62067112
926640376
1013135434
117461934
124495636
13294ba60
141a5cd74
151246ea9
hexc86e4a

13135434 has 32 divisors (see below), whose sum is σ = 29272320. Its totient is φ = 3901632.

The previous prime is 13135433. The next prime is 13135439. The reversal of 13135434 is 43453131.

13135434 = T52 + T53 + ... + T428.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13135433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 642 + ... + 5165.

It is an arithmetic number, because the mean of its divisors is an integer number (914760).

Almost surely, 213135434 is an apocalyptic number.

13135434 is an abundant number, since it is smaller than the sum of its proper divisors (16136886).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13135434 is a wasteful number, since it uses less digits than its factorization.

13135434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5854.

The product of its digits is 2160, while the sum is 24.

The square root of 13135434 is about 3624.2839292749. The cubic root of 13135434 is about 235.9471896580.

Adding to 13135434 its reverse (43453131), we get a palindrome (56588565).

The spelling of 13135434 in words is "thirteen million, one hundred thirty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 174 377 754 1131 2262 5807 11614 17421 34842 75491 150982 168403 226473 336806 452946 505209 1010418 2189239 4378478 6567717 13135434