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20105541 = 3237173349
BaseRepresentation
bin100110010110…
…0100101000101
31101211110121200
41030230211011
520121334131
61554533113
7332615511
oct114544505
941743550
1020105541
1110392655
126897199
13421c491
142955141
151b722e6
hex132c945

20105541 has 24 divisors (see below), whose sum is σ = 30084600. Its totient is φ = 12928896.

The previous prime is 20105521. The next prime is 20105549. The reversal of 20105541 is 14550102.

20105541 is a `hidden beast` number, since 20 + 105 + 541 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13905441 + 6200100 = 3729^2 + 2490^2 .

It is not a de Polignac number, because 20105541 - 211 = 20103493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20105549) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 57435 + ... + 57783.

It is an arithmetic number, because the mean of its divisors is an integer number (1253525).

Almost surely, 220105541 is an apocalyptic number.

It is an amenable number.

20105541 is a deficient number, since it is larger than the sum of its proper divisors (9979059).

20105541 is a wasteful number, since it uses less digits than its factorization.

20105541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 20105541 is about 4483.9202713697. The cubic root of 20105541 is about 271.9183948172.

Adding to 20105541 its reverse (14550102), we get a palindrome (34655643).

The spelling of 20105541 in words is "twenty million, one hundred five thousand, five hundred forty-one".

Divisors: 1 3 9 37 111 173 333 349 519 1047 1557 3141 6401 12913 19203 38739 57609 60377 116217 181131 543393 2233949 6701847 20105541