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20105901 = 34892789
BaseRepresentation
bin100110010110…
…0101010101101
31101211111010000
41030230222231
520121342101
61554534513
7332616534
oct114545255
941744100
1020105901
1110392952
126897439
13421c6aa
14295531b
151b72486
hex132caad

20105901 has 20 divisors (see below), whose sum is σ = 30383100. Its totient is φ = 13248576.

The previous prime is 20105873. The next prime is 20105927. The reversal of 20105901 is 10950102.

It can be written as a sum of positive squares in 2 ways, for example, as 8037225 + 12068676 = 2835^2 + 3474^2 .

It is not a de Polignac number, because 20105901 - 27 = 20105773 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20105201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5815 + ... + 8603.

It is an arithmetic number, because the mean of its divisors is an integer number (1519155).

Almost surely, 220105901 is an apocalyptic number.

It is an amenable number.

20105901 is a deficient number, since it is larger than the sum of its proper divisors (10277199).

20105901 is an equidigital number, since it uses as much as digits as its factorization.

20105901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 20105901 is about 4483.9604146335. The cubic root of 20105901 is about 271.9200177535.

The spelling of 20105901 in words is "twenty million, one hundred five thousand, nine hundred one".

Divisors: 1 3 9 27 81 89 267 801 2403 2789 7209 8367 25101 75303 225909 248221 744663 2233989 6701967 20105901