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11242413 = 3272133753
BaseRepresentation
bin101010111000…
…101110101101
3210011011200200
4222320232231
510334224123
61040544113
7164362500
oct52705655
923134620
1011242413
116389656
123922039
132438220
1416c9137
15ec1143
hexab8bad

11242413 has 72 divisors (see below), whose sum is σ = 21287448. Its totient is φ = 5660928.

The previous prime is 11242381. The next prime is 11242417. The reversal of 11242413 is 31424211.

11242413 is a `hidden beast` number, since 11 + 242 + 413 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2965284 + 8277129 = 1722^2 + 2877^2 .

It is not a de Polignac number, because 11242413 - 25 = 11242381 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11242417) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 212095 + ... + 212147.

It is an arithmetic number, because the mean of its divisors is an integer number (295659).

Almost surely, 211242413 is an apocalyptic number.

11242413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11242413 is a deficient number, since it is larger than the sum of its proper divisors (10045035).

11242413 is a wasteful number, since it uses less digits than its factorization.

11242413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 113 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 11242413 is about 3352.9707723152. The cubic root of 11242413 is about 224.0198550109.

Adding to 11242413 its reverse (31424211), we get a palindrome (42666624).

The spelling of 11242413 in words is "eleven million, two hundred forty-two thousand, four hundred thirteen".

Divisors: 1 3 7 9 13 21 37 39 49 53 63 91 111 117 147 159 259 273 333 371 441 477 481 637 689 777 819 1113 1443 1813 1911 1961 2067 2331 2597 3339 3367 4329 4823 5439 5733 5883 6201 7791 10101 13727 14469 16317 17649 23373 23569 25493 30303 33761 41181 43407 70707 76479 96089 101283 123543 178451 212121 229437 288267 303849 535353 864801 1249157 1606059 3747471 11242413