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20827485 = 3257371787
BaseRepresentation
bin100111101110…
…0110101011101
31110012010221100
41033130311131
520312434420
62022223313
7342013350
oct117346535
943163840
1020827485
1110835aa8
126b84b39
134412c73
142aa2297
151c66190
hex13dcd5d

20827485 has 48 divisors (see below), whose sum is σ = 42397056. Its totient is φ = 9258624.

The previous prime is 20827453. The next prime is 20827487. The reversal of 20827485 is 58472802.

It is a happy number.

It is not a de Polignac number, because 20827485 - 25 = 20827453 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20827487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10762 + ... + 12548.

It is an arithmetic number, because the mean of its divisors is an integer number (883272).

Almost surely, 220827485 is an apocalyptic number.

It is an amenable number.

20827485 is an abundant number, since it is smaller than the sum of its proper divisors (21569571).

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

20827485 is a wasteful number, since it uses less digits than its factorization.

20827485 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 20827485 is about 4563.7139480910. The cubic root of 20827485 is about 275.1348539700.

It can be divided in two parts, 20827 and 485, that added together give a palindrome (21312).

The spelling of 20827485 in words is "twenty million, eight hundred twenty-seven thousand, four hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 37 45 63 105 111 185 259 315 333 555 777 1295 1665 1787 2331 3885 5361 8935 11655 12509 16083 26805 37527 62545 66119 80415 112581 187635 198357 330595 462833 562905 595071 991785 1388499 2314165 2975355 4165497 6942495 20827485