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13812568 = 23711171319
BaseRepresentation
bin110100101100…
…001101011000
3221222202021121
4310230031120
512014000233
61212015024
7225255610
oct64541530
927882247
1013812568
117884650
124761474
132b28023
141b97a40
15132c92d
hexd2c358

13812568 has 64 divisors (see below), whose sum is σ = 34214400. Its totient is φ = 5061120.

The previous prime is 13812521. The next prime is 13812571. The reversal of 13812568 is 86521831.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 9813 + ... + 11131.

It is an arithmetic number, because the mean of its divisors is an integer number (534600).

Almost surely, 213812568 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 13812568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17107200).

13812568 is an abundant number, since it is smaller than the sum of its proper divisors (20401832).

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

13812568 is a wasteful number, since it uses less digits than its factorization.

13812568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1356 counting only the distinct ones).

The product of its digits is 11520, while the sum is 34.

The square root of 13812568 is about 3716.5263351684. The cubic root of 13812568 is about 239.9338243475.

The spelling of 13812568 in words is "thirteen million, eight hundred twelve thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 77 88 119 136 154 187 238 308 374 476 616 748 952 1309 1319 1496 2618 2638 5236 5276 9233 10472 10552 14509 18466 22423 29018 36932 44846 58036 73864 89692 101563 116072 156961 179384 203126 246653 313922 406252 493306 627844 812504 986612 1255688 1726571 1973224 3453142 6906284 13812568