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13054536 = 23321153311
BaseRepresentation
bin110001110011…
…001001001000
3220120020110100
4301303021020
511320221121
61143445400
7215650605
oct61631110
926506410
1013054536
117407080
124456860
132920ca1
141a3b6ac
15122d026
hexc73248

13054536 has 96 divisors (see below), whose sum is σ = 39424320. Its totient is φ = 3868800.

The previous prime is 13054511. The next prime is 13054537. The reversal of 13054536 is 63545031.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13054537) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41821 + ... + 42131.

It is an arithmetic number, because the mean of its divisors is an integer number (410670).

Almost surely, 213054536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13054536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19712160).

13054536 is an abundant number, since it is smaller than the sum of its proper divisors (26369784).

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

13054536 is a wasteful number, since it uses less digits than its factorization.

13054536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 13054536 is about 3613.1061429191. The cubic root of 13054536 is about 235.4618110551.

Adding to 13054536 its reverse (63545031), we get a palindrome (76599567).

The spelling of 13054536 in words is "thirteen million, fifty-four thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 53 66 72 88 99 106 132 159 198 212 264 311 318 396 424 477 583 622 636 792 933 954 1166 1244 1272 1749 1866 1908 2332 2488 2799 3421 3498 3732 3816 4664 5247 5598 6842 6996 7464 10263 10494 11196 13684 13992 16483 20526 20988 22392 27368 30789 32966 41052 41976 49449 61578 65932 82104 98898 123156 131864 148347 181313 197796 246312 296694 362626 395592 543939 593388 725252 1087878 1186776 1450504 1631817 2175756 3263634 4351512 6527268 13054536