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20817012 = 22329411459
BaseRepresentation
bin100111101101…
…0010001110100
31110011121120110
41033122101310
520312121022
62022103020
7341640666
oct117322164
943147513
1020817012
1110829147
126b7aa70
13440b278
142a9c536
151c6300c
hex13da474

20817012 has 48 divisors (see below), whose sum is σ = 51508800. Its totient is φ = 6531840.

The previous prime is 20816953. The next prime is 20817037. The reversal of 20817012 is 21071802.

It is a self number, because there is not a number n which added to its sum of digits gives 20817012.

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 15 ways as a sum of consecutive naturals, for example, 13539 + ... + 14997.

It is an arithmetic number, because the mean of its divisors is an integer number (1073100).

Almost surely, 220817012 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 20817012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25754400).

20817012 is an abundant number, since it is smaller than the sum of its proper divisors (30691788).

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

20817012 is a wasteful number, since it uses less digits than its factorization.

20817012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 20817012 is about 4562.5663830787. The cubic root of 20817012 is about 275.0887294948.

Adding to 20817012 its reverse (21071802), we get a palindrome (41888814).

The spelling of 20817012 in words is "twenty million, eight hundred seventeen thousand, twelve".

Divisors: 1 2 3 4 6 12 29 41 58 82 87 116 123 164 174 246 348 492 1189 1459 2378 2918 3567 4377 4756 5836 7134 8754 14268 17508 42311 59819 84622 119638 126933 169244 179457 239276 253866 358914 507732 717828 1734751 3469502 5204253 6939004 10408506 20817012