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13290264 = 2333134733
BaseRepresentation
bin110010101100…
…101100011000
3221000012211000
4302230230120
511400242024
61152505000
7220652061
oct62545430
927005730
1013290264
117558199
12454b160
1329a4380
141a9d568
151277cc9
hexcacb18

13290264 has 64 divisors (see below), whose sum is σ = 39765600. Its totient is φ = 4088448.

The previous prime is 13290239. The next prime is 13290283. The reversal of 13290264 is 46209231.

It is a super-2 number, since 2×132902642 = 353262234379392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442 + ... + 5174.

Almost surely, 213290264 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 13290264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19882800).

13290264 is an abundant number, since it is smaller than the sum of its proper divisors (26475336).

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

13290264 is a wasteful number, since it uses less digits than its factorization.

13290264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761 (or 4751 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 13290264 is about 3645.5814351074. The cubic root of 13290264 is about 236.8706231859.

Adding to 13290264 its reverse (46209231), we get a palindrome (59499495).

The spelling of 13290264 in words is "thirteen million, two hundred ninety thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 4733 9466 14199 18932 28398 37864 42597 56796 61529 85194 113592 123058 127791 170388 184587 246116 255582 340776 369174 492232 511164 553761 738348 1022328 1107522 1476696 1661283 2215044 3322566 4430088 6645132 13290264