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18235140 = 22357113947
BaseRepresentation
bin100010110001…
…1111100000100
31021022102220120
41011203330010
514132011030
61450501540
7310665450
oct105437404
937272816
1018235140
11a325370
1261348b0
133a16031
1425c9660
151903010
hex1163f04

18235140 has 96 divisors (see below), whose sum is σ = 63673344. Its totient is φ = 3788160.

The previous prime is 18235123. The next prime is 18235141. The reversal of 18235140 is 4153281.

It is a self number, because there is not a number n which added to its sum of digits gives 18235140.

It is not an unprimeable number, because it can be changed into a prime (18235141) 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 31 ways as a sum of consecutive naturals, for example, 2647 + ... + 6593.

It is an arithmetic number, because the mean of its divisors is an integer number (663264).

Almost surely, 218235140 is an apocalyptic number.

18235140 is a gapful number since it is divisible by the number (10) 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 18235140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31836672).

18235140 is an abundant number, since it is smaller than the sum of its proper divisors (45438204).

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

18235140 is a wasteful number, since it uses less digits than its factorization.

18235140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3977 (or 3975 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 18235140 is about 4270.2622870264. The cubic root of 18235140 is about 263.2103932174.

The spelling of 18235140 in words is "eighteen million, two hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 3947 4620 7894 11841 15788 19735 23682 27629 39470 43417 47364 55258 59205 78940 82887 86834 110516 118410 130251 138145 165774 173668 217085 236820 260502 276290 303919 331548 414435 434170 521004 552580 607838 651255 828870 868340 911757 1215676 1302510 1519595 1657740 1823514 2605020 3039190 3647028 4558785 6078380 9117570 18235140