Search a number
-
+
18240714 = 2341091033
BaseRepresentation
bin100010110010…
…1010011001010
31021022201120000
41011211103022
514132200324
61450543430
7311020632
oct105452312
937281500
1018240714
11a329578
126137b76
133a1872b
1425cb6c2
1519049c9
hex11654ca

18240714 has 40 divisors (see below), whose sum is σ = 41287620. Its totient is φ = 6018624.

The previous prime is 18240713. The next prime is 18240743. The reversal of 18240714 is 41704281.

It can be written as a sum of positive squares in 2 ways, for example, as 15468489 + 2772225 = 3933^2 + 1665^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (18240713) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 17142 + ... + 18174.

Almost surely, 218240714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18240714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20643810).

18240714 is an abundant number, since it is smaller than the sum of its proper divisors (23046906).

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

18240714 is a wasteful number, since it uses less digits than its factorization.

18240714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 18240714 is about 4270.9148902782. The cubic root of 18240714 is about 263.2372093038.

Adding to 18240714 its reverse (41704281), we get a palindrome (59944995).

The spelling of 18240714 in words is "eighteen million, two hundred forty thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 109 162 218 327 654 981 1033 1962 2066 2943 3099 5886 6198 8829 9297 17658 18594 27891 55782 83673 112597 167346 225194 337791 675582 1013373 2026746 3040119 6080238 9120357 18240714