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18130640 = 2451121873
BaseRepresentation
bin100010100101…
…0011011010000
31021010010120012
41011022123100
514120140030
61444334052
7310052003
oct105123320
937103505
1018130640
11a263900
1260a4328
1339aa5b8
14259d53a
1518d2095
hex114a6d0

18130640 has 60 divisors (see below), whose sum is σ = 46359012. Its totient is φ = 6589440.

The previous prime is 18130627. The next prime is 18130657. The reversal of 18130640 is 4603181.

It can be written as a sum of positive squares in 2 ways, for example, as 2795584 + 15335056 = 1672^2 + 3916^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8744 + ... + 10616.

Almost surely, 218130640 is an apocalyptic number.

18130640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18130640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23179506).

18130640 is an abundant number, since it is smaller than the sum of its proper divisors (28228372).

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

18130640 is a wasteful number, since it uses less digits than its factorization.

18130640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 18130640 is about 4258.0089243683. The cubic root of 18130640 is about 262.7066369927.

The spelling of 18130640 in words is "eighteen million, one hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1873 1936 2420 3746 4840 7492 9365 9680 14984 18730 20603 29968 37460 41206 74920 82412 103015 149840 164824 206030 226633 329648 412060 453266 824120 906532 1133165 1648240 1813064 2266330 3626128 4532660 9065320 18130640