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13006308 = 2237672311
BaseRepresentation
bin110001100111…
…010111100100
3220110210022010
4301213113210
511312200213
61142434220
7215360160
oct61472744
926423263
1013006308
117383917
124432970
132905053
141a27ca0
15121dac3
hexc675e4

13006308 has 48 divisors (see below), whose sum is σ = 35216384. Its totient is φ = 3659040.

The previous prime is 13006291. The next prime is 13006321. The reversal of 13006308 is 80360031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4473 + ... + 6783.

Almost surely, 213006308 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 13006308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17608192).

13006308 is an abundant number, since it is smaller than the sum of its proper divisors (22210076).

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

13006308 is a wasteful number, since it uses less digits than its factorization.

13006308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 13006308 is about 3606.4259315838. The cubic root of 13006308 is about 235.1714939537.

Adding to 13006308 its reverse (80360031), we get a palindrome (93366339).

The spelling of 13006308 in words is "thirteen million, six thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 134 201 268 402 469 804 938 1407 1876 2311 2814 4622 5628 6933 9244 13866 16177 27732 32354 48531 64708 97062 154837 194124 309674 464511 619348 929022 1083859 1858044 2167718 3251577 4335436 6503154 13006308