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18235072 = 26714013
BaseRepresentation
bin100010110001…
…1111011000000
31021022102211001
41011203323000
514132010242
61450501344
7310665322
oct105437300
937272731
1018235072
11a325309
126134854
133a15cab
1425c9612
151902eb7
hex1163ec0

18235072 has 28 divisors (see below), whose sum is σ = 36704016. Its totient is φ = 8986880.

The previous prime is 18235057. The next prime is 18235073. The reversal of 18235072 is 27053281.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 18235072.

It is not an unprimeable number, because it can be changed into a prime (18235073) 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 3 ways as a sum of consecutive naturals, for example, 2538 + ... + 6550.

Almost surely, 218235072 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 18235072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18352008).

18235072 is an abundant number, since it is smaller than the sum of its proper divisors (18468944).

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

18235072 is an equidigital number, since it uses as much as digits as its factorization.

18235072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4096 (or 4086 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 18235072 is about 4270.2543249788. The cubic root of 18235072 is about 263.2100660409.

The spelling of 18235072 in words is "eighteen million, two hundred thirty-five thousand, seventy-two".

Divisors: 1 2 4 8 16 32 64 71 142 284 568 1136 2272 4013 4544 8026 16052 32104 64208 128416 256832 284923 569846 1139692 2279384 4558768 9117536 18235072