Search a number
-
+
18066971 = 1317292819
BaseRepresentation
bin100010011101…
…0111000011011
31020222220020002
41010322320123
514111120341
61443123215
7306365246
oct104727033
936886202
1018066971
11a21aa8a
12607350b
133987620
14258425d
1518bd29b
hex113ae1b

18066971 has 16 divisors (see below), whose sum is σ = 21319200. Its totient is φ = 15149568.

The previous prime is 18066953. The next prime is 18066977. The reversal of 18066971 is 17966081.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-18066971 is a prime.

It is a super-2 number, since 2×180669712 = 652830882229682, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18066977) 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 15 ways as a sum of consecutive naturals, for example, 5000 + ... + 7818.

It is an arithmetic number, because the mean of its divisors is an integer number (1332450).

Almost surely, 218066971 is an apocalyptic number.

18066971 is a deficient number, since it is larger than the sum of its proper divisors (3252229).

18066971 is a wasteful number, since it uses less digits than its factorization.

18066971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878.

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 18066971 is about 4250.5259674539. The cubic root of 18066971 is about 262.3987624728.

The spelling of 18066971 in words is "eighteen million, sixty-six thousand, nine hundred seventy-one".

Divisors: 1 13 17 29 221 377 493 2819 6409 36647 47923 81751 622999 1062763 1389767 18066971