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13318038 = 2321771613
BaseRepresentation
bin110010110011…
…011110010110
3221001121220200
4302303132112
511402134123
61153241330
7221126046
oct62633626
927047820
1013318038
117577048
124563246
1329b3bc6
141aa9726
151281143
hexcb3796

13318038 has 48 divisors (see below), whose sum is σ = 31034016. Its totient is φ = 4112640.

The previous prime is 13318033. The next prime is 13318043. The reversal of 13318038 is 83081331.

13318038 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (13318033) and next prime (13318043).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13318033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21420 + ... + 22032.

It is an arithmetic number, because the mean of its divisors is an integer number (646542).

Almost surely, 213318038 is an apocalyptic number.

13318038 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 13318038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15517008).

13318038 is an abundant number, since it is smaller than the sum of its proper divisors (17715978).

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

13318038 is a wasteful number, since it uses less digits than its factorization.

13318038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13318038 is about 3649.3887159359. The cubic root of 13318038 is about 237.0355124908.

Adding to 13318038 its reverse (83081331), we get a palindrome (96399369).

The spelling of 13318038 in words is "thirteen million, three hundred eighteen thousand, thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 71 102 142 153 213 306 426 613 639 1207 1226 1278 1839 2414 3621 3678 5517 7242 10421 10863 11034 20842 21726 31263 43523 62526 87046 93789 130569 187578 261138 391707 739891 783414 1479782 2219673 4439346 6659019 13318038