Search a number
-
+
18045720 = 23335721131
BaseRepresentation
bin100010011010…
…1101100011000
31020221211002000
41010311230120
514104430340
61442441000
7306246300
oct104655430
936854060
1018045720
11a206020
126063160
13397aa54
14257a600
1518b6d30
hex1135b18

18045720 has 384 divisors, whose sum is σ = 78796800. Its totient is φ = 3628800.

The previous prime is 18045679. The next prime is 18045739. The reversal of 18045720 is 2754081.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 582105 + ... + 582135.

It is an arithmetic number, because the mean of its divisors is an integer number (205200).

Almost surely, 218045720 is an apocalyptic number.

18045720 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 18045720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39398400).

18045720 is an abundant number, since it is smaller than the sum of its proper divisors (60751080).

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

18045720 is a wasteful number, since it uses less digits than its factorization.

18045720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 18045720 is about 4248.0254236527. The cubic root of 18045720 is about 262.2958412572.

The spelling of 18045720 in words is "eighteen million, forty-five thousand, seven hundred twenty".