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18136305 = 355112359
BaseRepresentation
bin100010100101…
…1110011110001
31021010102100000
41011023303301
514120330210
61444420213
7310104345
oct105136361
937112300
1018136305
11a268090
1260a7669
1339b0055
1425a1625
1518d3ac0
hex114bcf1

18136305 has 96 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 8268480.

The previous prime is 18136277. The next prime is 18136319. The reversal of 18136305 is 50363181.

18136305 is a `hidden beast` number, since 18 + 13 + 630 + 5 = 666.

It is not a de Polignac number, because 18136305 - 25 = 18136273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 307366 + ... + 307424.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 218136305 is an apocalyptic number.

18136305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18136305 is an abundant number, since it is smaller than the sum of its proper divisors (19603215).

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

18136305 is a wasteful number, since it uses less digits than its factorization.

18136305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 18136305 is about 4258.6740894321. The cubic root of 18136305 is about 262.7339954335.

Adding to 18136305 its reverse (50363181), we get a palindrome (68499486).

It can be divided in two parts, 1813 and 6305, that added together give a palindrome (8118).

The spelling of 18136305 in words is "eighteen million, one hundred thirty-six thousand, three hundred five".

Divisors: 1 3 5 9 11 15 23 27 33 45 55 59 69 81 99 115 135 165 177 207 243 253 295 297 345 405 495 531 621 649 759 885 891 1035 1215 1265 1357 1485 1593 1863 1947 2277 2655 2673 3105 3245 3795 4071 4455 4779 5589 5841 6785 6831 7965 9315 9735 11385 12213 13365 14337 14927 17523 20355 20493 23895 27945 29205 34155 36639 44781 52569 61065 61479 71685 74635 87615 102465 109917 134343 157707 183195 223905 262845 307395 329751 403029 549585 671715 788535 1209087 1648755 2015145 3627261 6045435 18136305