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13362426 = 23271131311
BaseRepresentation
bin110010111110…
…010011111010
3221010212210200
4302332103322
511410044201
61154223030
7221402340
oct62762372
927125720
1013362426
1175a7430
124584a76
1329cb17c
141abb990
15128e386
hexcbe4fa

13362426 has 96 divisors (see below), whose sum is σ = 37380096. Its totient is φ = 3348000.

The previous prime is 13362421. The next prime is 13362449. The reversal of 13362426 is 62426331.

13362426 is a `hidden beast` number, since 1 + 33 + 624 + 2 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13362426.

It is not an unprimeable number, because it can be changed into a prime (13362421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42811 + ... + 43121.

It is an arithmetic number, because the mean of its divisors is an integer number (389376).

Almost surely, 213362426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13362426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18690048).

13362426 is an abundant number, since it is smaller than the sum of its proper divisors (24017670).

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

13362426 is a wasteful number, since it uses less digits than its factorization.

13362426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 365 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 13362426 is about 3655.4652234702. The cubic root of 13362426 is about 237.2985608660.

Adding to 13362426 its reverse (62426331), we get a palindrome (75788757).

The spelling of 13362426 in words is "thirteen million, three hundred sixty-two thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 31 33 42 62 63 66 77 93 99 126 154 186 198 217 231 279 311 341 434 462 558 622 651 682 693 933 1023 1302 1386 1866 1953 2046 2177 2387 2799 3069 3421 3906 4354 4774 5598 6138 6531 6842 7161 9641 10263 13062 14322 19282 19593 20526 21483 23947 28923 30789 39186 42966 47894 57846 61578 67487 71841 86769 106051 134974 143682 173538 202461 212102 215523 318153 404922 431046 607383 636306 742357 954459 1214766 1484714 1908918 2227071 4454142 6681213 13362426