Search a number
-
+
18073440 = 25325711163
BaseRepresentation
bin100010011110…
…0011101100000
31021000020002200
41010330131200
514111322230
61443213200
7306423150
oct104743540
937006080
1018073440
11a224930
126077200
13398a558
142586760
1518c0160
hex113c760

18073440 has 288 divisors, whose sum is σ = 77366016. Its totient is φ = 3732480.

The previous prime is 18073439. The next prime is 18073463. The reversal of 18073440 is 4437081.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 110799 + ... + 110961.

It is an arithmetic number, because the mean of its divisors is an integer number (268632).

Almost surely, 218073440 is an apocalyptic number.

18073440 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 18073440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38683008).

18073440 is an abundant number, since it is smaller than the sum of its proper divisors (59292576).

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

18073440 is a wasteful number, since it uses less digits than its factorization.

18073440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 18073440 is about 4251.2868639978. The cubic root of 18073440 is about 262.4300766139.

The spelling of 18073440 in words is "eighteen million, seventy-three thousand, four hundred forty".