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13036338 = 2327157659
BaseRepresentation
bin110001101110…
…101100110010
3220112022111100
4301232230302
511314130323
61143225230
7215543550
oct61565462
926468440
1013036338
1173a4437
124448216
132915913
141a34bd0
151227943
hexc6eb32

13036338 has 48 divisors (see below), whose sum is σ = 32535360. Its totient is φ = 3695328.

The previous prime is 13036327. The next prime is 13036339. The reversal of 13036338 is 83363031.

It is a super-2 number, since 2×130363382 = 339892216900488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13036339) 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 23 ways as a sum of consecutive naturals, for example, 19453 + ... + 20111.

It is an arithmetic number, because the mean of its divisors is an integer number (677820).

Almost surely, 213036338 is an apocalyptic number.

13036338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13036338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16267680).

13036338 is an abundant number, since it is smaller than the sum of its proper divisors (19499022).

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

13036338 is a wasteful number, since it uses less digits than its factorization.

13036338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 13036338 is about 3610.5869328961. The cubic root of 13036338 is about 235.3523490605.

Adding to 13036338 its reverse (83363031), we get a palindrome (96399369).

The spelling of 13036338 in words is "thirteen million, thirty-six thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 157 314 471 659 942 1099 1318 1413 1977 2198 2826 3297 3954 4613 5931 6594 9226 9891 11862 13839 19782 27678 41517 83034 103463 206926 310389 620778 724241 931167 1448482 1862334 2172723 4345446 6518169 13036338