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180418968 = 23336113693
BaseRepresentation
bin10101100000011…
…11100110011000
3110120111020022000
422300033212120
5332141401333
625523001000
74320351552
oct1260174630
9416436260
10180418968
1192929494
1250509160
132b4bc7b2
1419d664d2
1510c8c713
hexac0f998

180418968 has 64 divisors (see below), whose sum is σ = 509416800. Its totient is φ = 59149440.

The previous prime is 180418967. The next prime is 180419017. The reversal of 180418968 is 869814081.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180418967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6330 + ... + 20022.

Almost surely, 2180418968 is an apocalyptic number.

180418968 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 180418968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254708400).

180418968 is an abundant number, since it is smaller than the sum of its proper divisors (328997832).

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

180418968 is a wasteful number, since it uses less digits than its factorization.

180418968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13769 (or 13759 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 180418968 is about 13432.0128052351. The cubic root of 180418968 is about 565.0593489749.

The spelling of 180418968 in words is "one hundred eighty million, four hundred eighteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 244 366 488 549 732 1098 1464 1647 2196 3294 4392 6588 13176 13693 27386 41079 54772 82158 109544 123237 164316 246474 328632 369711 492948 739422 835273 985896 1478844 1670546 2505819 2957688 3341092 5011638 6682184 7517457 10023276 15034914 20046552 22552371 30069828 45104742 60139656 90209484 180418968