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20507682 = 23131631613
BaseRepresentation
bin100111000111…
…0110000100010
31102120220020210
41032032300202
520222221212
62011314550
7336212106
oct116166042
942526223
1020507682
11106377a8
126a4ba56
134330530
142a1b906
151c0153c
hex138ec22

20507682 has 32 divisors (see below), whose sum is σ = 44468928. Its totient is φ = 6267456.

The previous prime is 20507653. The next prime is 20507693. The reversal of 20507682 is 28670502.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11908 + ... + 13520.

It is an arithmetic number, because the mean of its divisors is an integer number (1389654).

Almost surely, 220507682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20507682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22234464).

20507682 is an abundant number, since it is smaller than the sum of its proper divisors (23961246).

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

20507682 is a wasteful number, since it uses less digits than its factorization.

20507682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794.

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 20507682 is about 4528.5408245924. The cubic root of 20507682 is about 273.7193656427.

Subtracting 20507682 from its reverse (28670502), we obtain a triangular number (8162820 = T4040).

The spelling of 20507682 in words is "twenty million, five hundred seven thousand, six hundred eighty-two".

Divisors: 1 2 3 6 13 26 39 78 163 326 489 978 1613 2119 3226 4238 4839 6357 9678 12714 20969 41938 62907 125814 262919 525838 788757 1577514 3417947 6835894 10253841 20507682