Search a number
-
+
13081464 = 23321183199
BaseRepresentation
bin110001111001…
…101101111000
3220121121101200
4301321231320
511322101324
61144214200
7216122244
oct61715570
926547350
1013081464
117425330
12446a360
132930316
141a47424
151235ec9
hexc79b78

13081464 has 96 divisors (see below), whose sum is σ = 39312000. Its totient is φ = 3896640.

The previous prime is 13081447. The next prime is 13081477. The reversal of 13081464 is 46418031.

It is a super-2 number, since 2×130814642 = 342249400766592, which contains 22 as substring.

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, 65637 + ... + 65835.

It is an arithmetic number, because the mean of its divisors is an integer number (409500).

Almost surely, 213081464 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 13081464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656000).

13081464 is an abundant number, since it is smaller than the sum of its proper divisors (26230536).

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

13081464 is a wasteful number, since it uses less digits than its factorization.

13081464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13081464 is about 3616.8306568044. The cubic root of 13081464 is about 235.6235980141.

Adding to 13081464 its reverse (46418031), we get a palindrome (59499495).

It can be divided in two parts, 1308 and 1464, that added together give a palindrome (2772).

The spelling of 13081464 in words is "thirteen million, eighty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 83 88 99 132 166 198 199 249 264 332 396 398 498 597 664 747 792 796 913 996 1194 1494 1592 1791 1826 1992 2189 2388 2739 2988 3582 3652 4378 4776 5478 5976 6567 7164 7304 8217 8756 10956 13134 14328 16434 16517 17512 19701 21912 26268 32868 33034 39402 49551 52536 65736 66068 78804 99102 132136 148653 157608 181687 198204 297306 363374 396408 545061 594612 726748 1090122 1189224 1453496 1635183 2180244 3270366 4360488 6540732 13081464