Search a number
-
+
18001141 = 29472281
BaseRepresentation
bin100010010101…
…0110011110101
31020212112220221
41010222303311
514102014031
61441454341
7306002314
oct104526365
936775827
1018001141
11a185584
1260413b1
133963682
14256827b
1518a8a11
hex112acf5

18001141 has 12 divisors (see below), whose sum is σ = 19094220. Its totient is φ = 16950080.

The previous prime is 18001121. The next prime is 18001153. The reversal of 18001141 is 14110081.

It can be written as a sum of positive squares in 2 ways, for example, as 10824100 + 7177041 = 3290^2 + 2679^2 .

It is not a de Polignac number, because 18001141 - 29 = 18000629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18001121) 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 11 ways as a sum of consecutive naturals, for example, 63921 + ... + 64201.

It is an arithmetic number, because the mean of its divisors is an integer number (1591185).

Almost surely, 218001141 is an apocalyptic number.

It is an amenable number.

18001141 is a deficient number, since it is larger than the sum of its proper divisors (1093079).

18001141 is an equidigital number, since it uses as much as digits as its factorization.

18001141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

The square root of 18001141 is about 4242.7751531280. The cubic root of 18001141 is about 262.0796768334.

The spelling of 18001141 in words is "eighteen million, one thousand, one hundred forty-one".

Divisors: 1 29 47 281 1363 2209 8149 13207 64061 383003 620729 18001141