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18945090 = 2345191231
BaseRepresentation
bin100100001000…
…1010001000010
31022122111210000
41020101101002
514322220330
61514020430
7320013333
oct110212102
938574700
1018945090
11a76a7aa
126417716
133c04218
14273228a
1519e3560
hex1211442

18945090 has 80 divisors (see below), whose sum is σ = 53665920. Its totient is φ = 4782240.

The previous prime is 18945083. The next prime is 18945103. The reversal of 18945090 is 9054981.

18945090 is a nontrivial binomial coefficient, being equal to C(6156, 2).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

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 39 ways as a sum of consecutive naturals, for example, 14775 + ... + 16005.

It is an arithmetic number, because the mean of its divisors is an integer number (670824).

Almost surely, 218945090 is an apocalyptic number.

18945090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18945090 is the 6155-th triangular number and also the 3078-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18945090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26832960).

18945090 is an abundant number, since it is smaller than the sum of its proper divisors (34720830).

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

18945090 is a wasteful number, since it uses less digits than its factorization.

18945090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1260 counting only the distinct ones).

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

The square root of 18945090 is about 4352.5957772345. The cubic root of 18945090 is about 266.5828608177.

The spelling of 18945090 in words is "eighteen million, nine hundred forty-five thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 405 513 570 810 855 1026 1231 1539 1710 2462 2565 3078 3693 5130 6155 7386 7695 11079 12310 15390 18465 22158 23389 33237 36930 46778 55395 66474 70167 99711 110790 116945 140334 166185 199422 210501 233890 332370 350835 421002 498555 631503 701670 997110 1052505 1263006 1894509 2105010 3157515 3789018 6315030 9472545 18945090