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20381526 = 23211791303
BaseRepresentation
bin100110110111…
…1111101010110
31102100111012100
41031233331112
520204202101
62004502530
7335145234
oct115577526
942314170
1020381526
1110560a40
1269aaa46
1342b7c99
1429c7954
151bc8e86
hex136ff56

20381526 has 48 divisors (see below), whose sum is σ = 48821760. Its totient is φ = 6093360.

The previous prime is 20381489. The next prime is 20381549. The reversal of 20381526 is 62518302.

It is a self number, because there is not a number n which added to its sum of digits gives 20381526.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14991 + ... + 16293.

It is an arithmetic number, because the mean of its divisors is an integer number (1017120).

Almost surely, 220381526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20381526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24410880).

20381526 is an abundant number, since it is smaller than the sum of its proper divisors (28440234).

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

20381526 is a wasteful number, since it uses less digits than its factorization.

20381526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 20381526 is about 4514.5903468643. The cubic root of 20381526 is about 273.1569358911.

Adding to 20381526 its reverse (62518302), we get a palindrome (82899828).

It can be divided in two parts, 203815 and 26, that added together give a triangular number (203841 = T638).

The spelling of 20381526 in words is "twenty million, three hundred eighty-one thousand, five hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 79 99 158 198 237 474 711 869 1303 1422 1738 2606 2607 3909 5214 7818 7821 11727 14333 15642 23454 28666 42999 85998 102937 128997 205874 257994 308811 617622 926433 1132307 1852866 2264614 3396921 6793842 10190763 20381526