Search a number
-
+
13313652 = 22311172349
BaseRepresentation
bin110010110010…
…011001110100
3221001101220020
4302302121310
511402014102
61153205140
7221110212
oct62623164
927041806
1013313652
117573820
1245607b0
1329b1c01
141aa7cb2
15127ebbc
hexcb2674

13313652 has 72 divisors (see below), whose sum is σ = 36103200. Its totient is φ = 3786240.

The previous prime is 13313647. The next prime is 13313681. The reversal of 13313652 is 25631331.

It is a happy number.

13313652 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37974 + ... + 38322.

Almost surely, 213313652 is an apocalyptic number.

13313652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13313652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18051600).

13313652 is an abundant number, since it is smaller than the sum of its proper divisors (22789548).

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

13313652 is a wasteful number, since it uses less digits than its factorization.

13313652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 382 counting only the distinct ones).

The product of its digits is 1620, while the sum is 24.

The square root of 13313652 is about 3648.7877438952. The cubic root of 13313652 is about 237.0094888401.

Adding to 13313652 its reverse (25631331), we get a palindrome (38944983).

The spelling of 13313652 in words is "thirteen million, three hundred thirteen thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 289 349 374 561 578 698 748 867 1047 1122 1156 1396 1734 2094 2244 3179 3468 3839 4188 5933 6358 7678 9537 11517 11866 12716 15356 17799 19074 23034 23732 35598 38148 46068 65263 71196 100861 130526 195789 201722 261052 302583 391578 403444 605166 783156 1109471 1210332 2218942 3328413 4437884 6656826 13313652