Search a number
-
+
4113681 = 3111343223
BaseRepresentation
bin1111101100010100010001
321201222220120
433230110101
52023114211
6224100453
746652145
oct17542421
97658816
104113681
11235a740
121464729
13b10540
14791225
15563d06
hex3ec511

4113681 has 32 divisors (see below), whose sum is σ = 6623232. Its totient is φ = 2237760.

The previous prime is 4113667. The next prime is 4113691. The reversal of 4113681 is 1863114.

4113681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4113681 - 27 = 4113553 is a prime.

It is a super-2 number, since 2×41136812 = 33844742739522, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4113601) 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 31 ways as a sum of consecutive naturals, for example, 18336 + ... + 18558.

It is an arithmetic number, because the mean of its divisors is an integer number (206976).

Almost surely, 24113681 is an apocalyptic number.

It is an amenable number.

4113681 is a deficient number, since it is larger than the sum of its proper divisors (2509551).

4113681 is a wasteful number, since it uses less digits than its factorization.

4113681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293.

The product of its digits is 576, while the sum is 24.

The square root of 4113681 is about 2028.2211417890. The cubic root of 4113681 is about 160.2298908846.

Adding to 4113681 its reverse (1863114), we get a palindrome (5976795).

The spelling of 4113681 in words is "four million, one hundred thirteen thousand, six hundred eighty-one".

Divisors: 1 3 11 13 33 39 43 129 143 223 429 473 559 669 1419 1677 2453 2899 6149 7359 8697 9589 18447 28767 31889 95667 105479 124657 316437 373971 1371227 4113681