Search a number
-
+
18013827 = 3132292017
BaseRepresentation
bin100010010110…
…1111010000011
31020220012022210
41010231322003
514102420302
61442033203
7306054306
oct104557203
936805283
1018013827
11a194067
126048803
133969390
14256cb3d
1518ac66c
hex112de83

18013827 has 16 divisors (see below), whose sum is σ = 25991840. Its totient is φ = 11031552.

The previous prime is 18013823. The next prime is 18013841. The reversal of 18013827 is 72831081.

It is a happy number.

It is not a de Polignac number, because 18013827 - 22 = 18013823 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 18013794 and 18013803.

It is not an unprimeable number, because it can be changed into a prime (18013823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7923 + ... + 9939.

It is an arithmetic number, because the mean of its divisors is an integer number (1624490).

Almost surely, 218013827 is an apocalyptic number.

18013827 is a deficient number, since it is larger than the sum of its proper divisors (7978013).

18013827 is a wasteful number, since it uses less digits than its factorization.

18013827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262.

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 18013827 is about 4244.2699018795. The cubic root of 18013827 is about 262.1412277848.

The spelling of 18013827 in words is "eighteen million, thirteen thousand, eight hundred twenty-seven".

Divisors: 1 3 13 39 229 687 2017 2977 6051 8931 26221 78663 461893 1385679 6004609 18013827