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13243136 = 28172179
BaseRepresentation
bin110010100001…
…001100000000
3220220211011112
4302201030000
511342240021
61151502452
7220364504
oct62411400
926824145
1013243136
117525845
124527a28
132988a9a
141a8a304
151268d5b
hexca1300

13243136 has 54 divisors (see below), whose sum is σ = 28237860. Its totient is φ = 6197248.

The previous prime is 13243129. The next prime is 13243141. The reversal of 13243136 is 63134231.

It is a super-2 number, since 2×132431362 = 350761302228992, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73895 + ... + 74073.

Almost surely, 213243136 is an apocalyptic number.

13243136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13243136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14118930).

13243136 is an abundant number, since it is smaller than the sum of its proper divisors (14994724).

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

13243136 is an equidigital number, since it uses as much as digits as its factorization.

13243136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 198 counting only the distinct ones).

The product of its digits is 1296, while the sum is 23.

The square root of 13243136 is about 3639.1119795906. Note that the first 3 decimals coincide. The cubic root of 13243136 is about 236.5903062076.

Adding to 13243136 its reverse (63134231), we get a palindrome (76377367).

The spelling of 13243136 in words is "thirteen million, two hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 179 256 272 289 358 544 578 716 1088 1156 1432 2176 2312 2864 3043 4352 4624 5728 6086 9248 11456 12172 18496 22912 24344 36992 45824 48688 51731 73984 97376 103462 194752 206924 389504 413848 779008 827696 1655392 3310784 6621568 13243136