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13218540 = 22351511459
BaseRepresentation
bin110010011011…
…001011101100
3220212120102120
4302123023230
511340443130
61151152540
7220233006
oct62331354
926776376
1013218540
117509315
124515750
13297a82a
141a81376
151261910
hexc9b2ec

13218540 has 48 divisors (see below), whose sum is σ = 37282560. Its totient is φ = 3499200.

The previous prime is 13218533. The next prime is 13218559. The reversal of 13218540 is 4581231.

It is a self number, because there is not a number n which added to its sum of digits gives 13218540.

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 15 ways as a sum of consecutive naturals, for example, 8331 + ... + 9789.

It is an arithmetic number, because the mean of its divisors is an integer number (776720).

Almost surely, 213218540 is an apocalyptic number.

13218540 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 13218540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18641280).

13218540 is an abundant number, since it is smaller than the sum of its proper divisors (24064020).

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

13218540 is a wasteful number, since it uses less digits than its factorization.

13218540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 13218540 is about 3635.7310131527. The cubic root of 13218540 is about 236.4437452149.

Adding to 13218540 its reverse (4581231), we get a palindrome (17799771).

The spelling of 13218540 in words is "thirteen million, two hundred eighteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 302 453 604 755 906 1459 1510 1812 2265 2918 3020 4377 4530 5836 7295 8754 9060 14590 17508 21885 29180 43770 87540 220309 440618 660927 881236 1101545 1321854 2203090 2643708 3304635 4406180 6609270 13218540