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18328968 = 2332741887
BaseRepresentation
bin100010111101…
…0110110001000
31021111012121200
41011322312020
514143011333
61452504200
7311536140
oct105726610
937435550
1018328968
11a389909
12617b060
133a49958
142611920
151920c13
hex117ad88

18328968 has 96 divisors (see below), whose sum is σ = 58181760. Its totient is φ = 5103360.

The previous prime is 18328951. The next prime is 18328969. The reversal of 18328968 is 86982381.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (18328969) 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, 20221 + ... + 21107.

It is an arithmetic number, because the mean of its divisors is an integer number (606060).

Almost surely, 218328968 is an apocalyptic number.

18328968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18328968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29090880).

18328968 is an abundant number, since it is smaller than the sum of its proper divisors (39852792).

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

18328968 is a wasteful number, since it uses less digits than its factorization.

18328968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 940 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 18328968 is about 4281.2344014314. The cubic root of 18328968 is about 263.6610664274.

The spelling of 18328968 in words is "eighteen million, three hundred twenty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 41 42 56 63 72 82 84 123 126 164 168 246 252 287 328 369 492 504 574 738 861 887 984 1148 1476 1722 1774 2296 2583 2661 2952 3444 3548 5166 5322 6209 6888 7096 7983 10332 10644 12418 15966 18627 20664 21288 24836 31932 36367 37254 49672 55881 63864 72734 74508 109101 111762 145468 149016 218202 223524 254569 290936 327303 436404 447048 509138 654606 763707 872808 1018276 1309212 1527414 2036552 2291121 2618424 3054828 4582242 6109656 9164484 18328968