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18082968 = 23317234147
BaseRepresentation
bin100010011111…
…0110010011000
31021000201011120
41010332302120
514112123333
61443325240
7306463011
oct104766230
937021146
1018082968
11a231002
126080820
1339919a7
14258a008
1518c2db3
hex113ec98

18082968 has 128 divisors (see below), whose sum is σ = 52254720. Its totient is φ = 5181440.

The previous prime is 18082963. The next prime is 18082993. The reversal of 18082968 is 86928081.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18082963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384721 + ... + 384767.

It is an arithmetic number, because the mean of its divisors is an integer number (408240).

Almost surely, 218082968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18082968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26127360).

18082968 is an abundant number, since it is smaller than the sum of its proper divisors (34171752).

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

18082968 is a wasteful number, since it uses less digits than its factorization.

18082968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 18082968 is about 4252.4073182140. The cubic root of 18082968 is about 262.4761846875.

The spelling of 18082968 in words is "eighteen million, eighty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 41 46 47 51 68 69 82 92 94 102 123 136 138 141 164 184 188 204 246 276 282 328 376 391 408 492 552 564 697 782 799 943 984 1081 1128 1173 1394 1564 1598 1886 1927 2091 2162 2346 2397 2788 2829 3128 3196 3243 3772 3854 4182 4324 4692 4794 5576 5658 5781 6392 6486 7544 7708 8364 8648 9384 9588 11316 11562 12972 15416 16031 16728 18377 19176 22632 23124 25944 32062 32759 36754 44321 46248 48093 55131 64124 65518 73508 88642 96186 98277 110262 128248 131036 132963 147016 177284 192372 196554 220524 262072 265926 354568 384744 393108 441048 531852 753457 786216 1063704 1506914 2260371 3013828 4520742 6027656 9041484 18082968