Search a number
-
+
105283941 = 3717417193
BaseRepresentation
bin1100100011010…
…00000101100101
321100002222102020
412101220011211
5203423041231
614240333353
72415620160
oct621500545
9240088366
10105283941
1154480424
122b314259
1318a738b9
14dda8ad7
15939a396
hex6468165

105283941 has 32 divisors (see below), whose sum is σ = 174037248. Its totient is φ = 55234560.

The previous prime is 105283933. The next prime is 105283957. The reversal of 105283941 is 149382501.

It is not a de Polignac number, because 105283941 - 23 = 105283933 is a prime.

It is a super-2 number, since 2×1052839412 = 22169416464982962, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105283931) 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 31 ways as a sum of consecutive naturals, for example, 11041 + ... + 18233.

It is an arithmetic number, because the mean of its divisors is an integer number (5438664).

Almost surely, 2105283941 is an apocalyptic number.

It is an amenable number.

105283941 is a deficient number, since it is larger than the sum of its proper divisors (68753307).

105283941 is a wasteful number, since it uses less digits than its factorization.

105283941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7261.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 105283941 is about 10260.7963141269. The cubic root of 105283941 is about 472.1942682189.

The spelling of 105283941 in words is "one hundred five million, two hundred eighty-three thousand, nine hundred forty-one".

Divisors: 1 3 7 17 21 41 51 119 123 287 357 697 861 2091 4879 7193 14637 21579 50351 122281 151053 294913 366843 855967 884739 2064391 2567901 5013521 6193173 15040563 35094647 105283941