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20505324 = 2237243811
BaseRepresentation
bin100111000111…
…0001011101100
31102120210000110
41032032023230
520222132244
62011300020
7336202200
oct116161354
942523013
1020505324
1110635a54
126a4a610
13432c438
142a1ab00
151c009b9
hex138e2ec

20505324 has 72 divisors (see below), whose sum is σ = 57021888. Its totient is φ = 5715360.

The previous prime is 20505307. The next prime is 20505341. The reversal of 20505324 is 42350502.

It is an interprime number because it is at equal distance from previous prime (20505307) and next prime (20505341).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 20505324.

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 23 ways as a sum of consecutive naturals, for example, 24879 + ... + 25689.

Almost surely, 220505324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20505324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28510944).

20505324 is an abundant number, since it is smaller than the sum of its proper divisors (36516564).

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

20505324 is a wasteful number, since it uses less digits than its factorization.

20505324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 20505324 is about 4528.2804683456. The cubic root of 20505324 is about 273.7088743708.

Adding to 20505324 its reverse (42350502), we get a palindrome (62855826).

The spelling of 20505324 in words is "twenty million, five hundred five thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 84 86 98 129 147 172 196 258 294 301 516 588 602 811 903 1204 1622 1806 2107 2433 3244 3612 4214 4866 5677 6321 8428 9732 11354 12642 17031 22708 25284 34062 34873 39739 68124 69746 79478 104619 119217 139492 158956 209238 238434 244111 418476 476868 488222 732333 976444 1464666 1708777 2929332 3417554 5126331 6835108 10252662 20505324