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18137286 = 23219181293
BaseRepresentation
bin100010100110…
…0000011000110
31021010110200100
41011030003012
514120343121
61444424530
7310110246
oct105140306
937113610
1018137286
11a2688a2
1260a8146
1339b062b
1425a1b26
1518d4026
hex114c0c6

18137286 has 48 divisors (see below), whose sum is σ = 41736240. Its totient is φ = 5676480.

The previous prime is 18137281. The next prime is 18137297. The reversal of 18137286 is 68273181.

It is a super-2 number, since 2×181372862 = 657922286891592, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 18137286.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18137281) 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, 61756 + ... + 62048.

It is an arithmetic number, because the mean of its divisors is an integer number (869505).

Almost surely, 218137286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18137286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20868120).

18137286 is an abundant number, since it is smaller than the sum of its proper divisors (23598954).

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

18137286 is a wasteful number, since it uses less digits than its factorization.

18137286 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 498 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 18137286 is about 4258.7892645680. The cubic root of 18137286 is about 262.7387324771.

The spelling of 18137286 in words is "eighteen million, one hundred thirty-seven thousand, two hundred eighty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 181 293 342 362 543 586 879 1086 1629 1758 2637 3258 3439 5274 5567 6878 10317 11134 16701 20634 30951 33402 50103 53033 61902 100206 106066 159099 318198 477297 954594 1007627 2015254 3022881 6045762 9068643 18137286