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18189045 = 3257273113
BaseRepresentation
bin100010101100…
…0101011110101
31021020002200100
41011120223311
514124022140
61445504313
7310414200
oct105305365
937202610
1018189045
11a2a3776
126112099
1339cb064
1425b6937
1518e4530
hex1158af5

18189045 has 72 divisors (see below), whose sum is σ = 37506456. Its totient is φ = 8128512.

The previous prime is 18189013. The next prime is 18189077. The reversal of 18189045 is 54098181.

It is an interprime number because it is at equal distance from previous prime (18189013) and next prime (18189077).

It can be written as a sum of positive squares in 4 ways, for example, as 15876 + 18173169 = 126^2 + 4263^2 .

It is not a de Polignac number, because 18189045 - 25 = 18189013 is a prime.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 160909 + ... + 161021.

It is an arithmetic number, because the mean of its divisors is an integer number (520923).

Almost surely, 218189045 is an apocalyptic number.

18189045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18189045 is an abundant number, since it is smaller than the sum of its proper divisors (19317411).

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

18189045 is a wasteful number, since it uses less digits than its factorization.

18189045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 18189045 is about 4264.8616624693. The cubic root of 18189045 is about 262.9884239774.

The spelling of 18189045 in words is "eighteen million, one hundred eighty-nine thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 73 105 113 147 219 245 315 339 365 441 511 565 657 735 791 1017 1095 1533 1695 2205 2373 2555 3285 3577 3955 4599 5085 5537 7119 7665 8249 10731 11865 16611 17885 22995 24747 27685 32193 35595 41245 49833 53655 57743 74241 83055 123735 160965 173229 249165 288715 371205 404201 519687 866145 1212603 2021005 2598435 3637809 6063015 18189045