Search a number
-
+
18096516 = 22327092
BaseRepresentation
bin100010100001…
…0000110000100
31021001101202100
41011002012010
514113042031
61443512100
7306550344
oct105020604
937041670
1018096516
11a2401a9
126088630
133997bc9
142590d24
1518c6de6
hex1142184

18096516 has 27 divisors (see below), whose sum is σ = 45808581. Its totient is φ = 6023664.

The previous prime is 18096503. The next prime is 18096541. The reversal of 18096516 is 61569081.

The square root of 18096516 is 4254.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2414916 + 15681600 = 1554^2 + 3960^2 .

It is a super-3 number, since 3×180965163 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25170 + ... + 25878.

Almost surely, 218096516 is an apocalyptic number.

18096516 is the 4254-th square number.

It is an amenable number.

18096516 is an abundant number, since it is smaller than the sum of its proper divisors (27712065).

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

18096516 is an equidigital number, since it uses as much as digits as its factorization.

18096516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The cubic root of 18096516 is about 262.5417185395.

Multiplying 18096516 by its sum of digits (36), we get a square (651474576 = 255242).

18096516 divided by its sum of digits (36) gives a square (502681 = 7092).

The spelling of 18096516 in words is "eighteen million, ninety-six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 709 1418 2127 2836 4254 6381 8508 12762 25524 502681 1005362 1508043 2010724 3016086 4524129 6032172 9048258 18096516