Search a number
-
+
18943236 = 223213172381
BaseRepresentation
bin100100001000…
…0110100000100
31022122102020100
41020100310010
514322140421
61514004100
7320005044
oct110206404
938572210
1018943236
11a769374
126416630
133c03420
142731724
1519e2c26
hex1210d04

18943236 has 72 divisors (see below), whose sum is σ = 54624024. Its totient is φ = 5483520.

The previous prime is 18943231. The next prime is 18943241. The reversal of 18943236 is 63234981.

It is an interprime number because it is at equal distance from previous prime (18943231) and next prime (18943241).

It can be written as a sum of positive squares in 4 ways, for example, as 20736 + 18922500 = 144^2 + 4350^2 .

It is a super-3 number, since 3×189432363 (a number of 23 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 18943236.

It is not an unprimeable number, because it can be changed into a prime (18943231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6766 + ... + 9146.

It is an arithmetic number, because the mean of its divisors is an integer number (758667).

Almost surely, 218943236 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 18943236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27312012).

18943236 is an abundant number, since it is smaller than the sum of its proper divisors (35680788).

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

18943236 is a wasteful number, since it uses less digits than its factorization.

18943236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421 (or 2416 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 18943236 is about 4352.3827956649. The cubic root of 18943236 is about 266.5741644440.

The spelling of 18943236 in words is "eighteen million, nine hundred forty-three thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2381 2652 3978 4762 7143 7956 9524 14286 21429 28572 30953 40477 42858 61906 80954 85716 92859 121431 123812 161908 185718 242862 278577 364293 371436 485724 526201 557154 728586 1052402 1114308 1457172 1578603 2104804 3157206 4735809 6314412 9471618 18943236