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11316438 = 23271929163
BaseRepresentation
bin101011001010…
…110011010110
3210021221020100
4223022303112
510344111223
61042314530
7165121350
oct53126326
923257210
1011316438
11642a231
123958a46
132462b23
1417080d0
15ed8043
hexacacd6

11316438 has 96 divisors (see below), whose sum is σ = 30700800. Its totient is φ = 2939328.

The previous prime is 11316379. The next prime is 11316443. The reversal of 11316438 is 83461311.

11316438 is a `hidden beast` number, since 1 + 13 + 1 + 643 + 8 = 666.

It is a Curzon number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 69345 + ... + 69507.

It is an arithmetic number, because the mean of its divisors is an integer number (319800).

Almost surely, 211316438 is an apocalyptic number.

11316438 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 11316438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15350400).

11316438 is an abundant number, since it is smaller than the sum of its proper divisors (19384362).

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

11316438 is a wasteful number, since it uses less digits than its factorization.

11316438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 223 counting only the distinct ones).

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

The square root of 11316438 is about 3363.9913792993. The cubic root of 11316438 is about 224.5104615968.

Adding to 11316438 its reverse (83461311), we get a palindrome (94777749).

It can be divided in two parts, 1131 and 6438, that added together give a square (7569 = 872).

The spelling of 11316438 in words is "eleven million, three hundred sixteen thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 29 38 42 57 58 63 87 114 126 133 163 171 174 203 261 266 326 342 399 406 489 522 551 609 798 978 1102 1141 1197 1218 1467 1653 1827 2282 2394 2934 3097 3306 3423 3654 3857 4727 4959 6194 6846 7714 9291 9454 9918 10269 11571 14181 18582 20538 21679 23142 27873 28362 33089 34713 42543 43358 55746 65037 66178 69426 85086 89813 99267 130074 179626 195111 198534 269439 297801 390222 538878 595602 628691 808317 1257382 1616634 1886073 3772146 5658219 11316438