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20506524 = 22323191389
BaseRepresentation
bin100111000111…
…0011110011100
31102120211122220
41032032132130
520222202044
62011305340
7336205533
oct116163634
942524586
1020506524
1110636945
126a4b250
13432cb4c
142a1b31a
151c01019
hex138e79c

20506524 has 48 divisors (see below), whose sum is σ = 50319360. Its totient is φ = 6487360.

The previous prime is 20506517. The next prime is 20506543. The reversal of 20506524 is 42560502.

It is a junction number, because it is equal to n+sod(n) for n = 20506494 and 20506503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52522 + ... + 52910.

It is an arithmetic number, because the mean of its divisors is an integer number (1048320).

Almost surely, 220506524 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 20506524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25159680).

20506524 is an abundant number, since it is smaller than the sum of its proper divisors (29812836).

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

20506524 is a wasteful number, since it uses less digits than its factorization.

20506524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 20506524 is about 4528.4129670338. The cubic root of 20506524 is about 273.7142135409.

The spelling of 20506524 in words is "twenty million, five hundred six thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 191 276 382 389 573 764 778 1146 1167 1556 2292 2334 4393 4668 8786 8947 13179 17572 17894 26358 26841 35788 52716 53682 74299 107364 148598 222897 297196 445794 891588 1708877 3417754 5126631 6835508 10253262 20506524