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18000297 = 327617
BaseRepresentation
bin100010010101…
…0100110101001
31020212111202200
41010222212221
514102002142
61441450413
7306000000
oct104524651
936774680
1018000297
11a184987
126040a09
133963183
142567c37
1518a864c
hex112a9a9

18000297 has 42 divisors (see below), whose sum is σ = 32118138. Its totient is φ = 9680832.

The previous prime is 18000259. The next prime is 18000319. The reversal of 18000297 is 79200081.

It can be written as a sum of positive squares in only one way, i.e., 16941456 + 1058841 = 4116^2 + 1029^2 .

It is not a de Polignac number, because 18000297 - 28 = 18000041 is a prime.

18000297 is a modest number, since divided by 297 gives 18 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 18000297.

It is not an unprimeable number, because it can be changed into a prime (18000217) 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 41 ways as a sum of consecutive naturals, for example, 1058833 + ... + 1058849.

Almost surely, 218000297 is an apocalyptic number.

18000297 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

18000297 is a deficient number, since it is larger than the sum of its proper divisors (14117841).

18000297 is an frugal number, since it uses more digits than its factorization.

18000297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 18000297 is about 4242.6756887606. The cubic root of 18000297 is about 262.0755808207.

The spelling of 18000297 in words is "eighteen million, two hundred ninety-seven", and thus it is an aban number.

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 343 357 441 833 1029 1071 2401 2499 3087 5831 7203 7497 16807 17493 21609 40817 50421 52479 117649 122451 151263 285719 352947 367353 857157 1058841 2000033 2571471 6000099 18000297