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13004264 = 2371317863
BaseRepresentation
bin110001100110…
…110111101000
3220110200111102
4301212313220
511312114024
61142420532
7215351210
oct61466750
926420442
1013004264
117382329
124431748
132904140
141a27240
15121d1ae
hexc66de8

13004264 has 32 divisors (see below), whose sum is σ = 30011520. Its totient is φ = 5144256.

The previous prime is 13004263. The next prime is 13004297. The reversal of 13004264 is 46240031.

It is a happy number.

It is a super-2 number, since 2×130042642 = 338221764363392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13004261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8204 + ... + 9659.

It is an arithmetic number, because the mean of its divisors is an integer number (937860).

Almost surely, 213004264 is an apocalyptic number.

13004264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13004264 is an abundant number, since it is smaller than the sum of its proper divisors (17007256).

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

13004264 is a wasteful number, since it uses less digits than its factorization.

13004264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17889 (or 17885 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 13004264 is about 3606.1425373937. The cubic root of 13004264 is about 235.1591738878.

Adding to 13004264 its reverse (46240031), we get a palindrome (59244295).

The spelling of 13004264 in words is "thirteen million, four thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 17863 35726 71452 125041 142904 232219 250082 464438 500164 928876 1000328 1625533 1857752 3251066 6502132 13004264