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20505384 = 2332319187
BaseRepresentation
bin100111000111…
…0001100101000
31102120210002200
41032032030220
520222133014
62011300200
7336202314
oct116161450
942523080
1020505384
1110635aa9
126a4a660
13432c483
142a1ab44
151c00a09
hex138e328

20505384 has 48 divisors (see below), whose sum is σ = 57333120. Its totient is φ = 6613920.

The previous prime is 20505379. The next prime is 20505409. The reversal of 20505384 is 48350502.

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 11 ways as a sum of consecutive naturals, for example, 2362 + ... + 6825.

It is an arithmetic number, because the mean of its divisors is an integer number (1194440).

Almost surely, 220505384 is an apocalyptic number.

20505384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20505384 is an abundant number, since it is smaller than the sum of its proper divisors (36827736).

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

20505384 is a wasteful number, since it uses less digits than its factorization.

20505384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9230 (or 9223 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 20505384 is about 4528.2870933721. The cubic root of 20505384 is about 273.7091413342.

Adding to 20505384 its reverse (48350502), we get a palindrome (68855886).

The spelling of 20505384 in words is "twenty million, five hundred five thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 9187 18374 27561 36748 55122 73496 82683 110244 165366 220488 284797 330732 569594 661464 854391 1139188 1708782 2278376 2563173 3417564 5126346 6835128 10252692 20505384