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18430038 = 23311192371
BaseRepresentation
bin100011001001…
…1100001010110
31021200100021000
41012103201112
514204230123
61455004130
7312436614
oct106234126
937610230
1018430038
11a448840
126209646
133a83963
14263a6b4
151940b43
hex1193856

18430038 has 128 divisors (see below), whose sum is σ = 49766400. Its totient is φ = 4989600.

The previous prime is 18430037. The next prime is 18430043. The reversal of 18430038 is 83003481.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 18429993 and 18430020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18430037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 259543 + ... + 259613.

It is an arithmetic number, because the mean of its divisors is an integer number (388800).

Almost surely, 218430038 is an apocalyptic number.

18430038 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 18430038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24883200).

18430038 is an abundant number, since it is smaller than the sum of its proper divisors (31336362).

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

18430038 is a wasteful number, since it uses less digits than its factorization.

18430038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 18430038 is about 4293.0220125222. The cubic root of 18430038 is about 264.1448069209.

The spelling of 18430038 in words is "eighteen million, four hundred thirty thousand, thirty-eight".

Divisors: 1 2 3 6 9 11 18 19 22 23 27 33 38 46 54 57 66 69 71 99 114 138 142 171 198 207 209 213 253 297 342 414 418 426 437 506 513 594 621 627 639 759 781 874 1026 1242 1254 1278 1311 1349 1518 1562 1633 1881 1917 2277 2343 2622 2698 3266 3762 3834 3933 4047 4554 4686 4807 4899 5643 6831 7029 7866 8094 9614 9798 11286 11799 12141 13662 14058 14421 14697 14839 17963 21087 23598 24282 28842 29394 29678 31027 35926 36423 42174 43263 44091 44517 53889 62054 72846 86526 88182 89034 93081 107778 129789 133551 161667 186162 259578 267102 279243 323334 341297 400653 485001 558486 682594 801306 837729 970002 1023891 1675458 2047782 3071673 6143346 9215019 18430038