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13362528 = 2531091277
BaseRepresentation
bin110010111110…
…010101100000
3221010212221110
4302332111200
511410100103
61154223320
7221402544
oct62762540
927125843
1013362528
1175a7513
124584b40
1329cb22a
141abba24
15128e403
hexcbe560

13362528 has 48 divisors (see below), whose sum is σ = 35426160. Its totient is φ = 4409856.

The previous prime is 13362521. The next prime is 13362541. The reversal of 13362528 is 82526331.

13362528 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 13362495 and 13362504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13362521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9826 + ... + 11102.

It is an arithmetic number, because the mean of its divisors is an integer number (738045).

Almost surely, 213362528 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 13362528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17713080).

13362528 is an abundant number, since it is smaller than the sum of its proper divisors (22063632).

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

13362528 is a wasteful number, since it uses less digits than its factorization.

13362528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1391 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 13362528 is about 3655.4791751561. The cubic root of 13362528 is about 237.2991646584.

Adding to 13362528 its reverse (82526331), we get a palindrome (95888859).

The spelling of 13362528 in words is "thirteen million, three hundred sixty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 218 327 436 654 872 1277 1308 1744 2554 2616 3488 3831 5108 5232 7662 10216 10464 15324 20432 30648 40864 61296 122592 139193 278386 417579 556772 835158 1113544 1670316 2227088 3340632 4454176 6681264 13362528