Search a number
-
+
2105884077 = 311190133569
BaseRepresentation
bin111110110000101…
…0011110110101101
312102202120222212120
41331201103312231
513303101242302
6544544223153
7103120501503
oct17541236655
95382528776
102105884077
11990797970
124a930aab9
1327739b16b
1415d97c673
15c4d2a9bc
hex7d853dad

2105884077 has 16 divisors (see below), whose sum is σ = 3064806720. Its totient is φ = 1275584000.

The previous prime is 2105884073. The next prime is 2105884093. The reversal of 2105884077 is 7704885012.

It is a cyclic number.

It is not a de Polignac number, because 2105884077 - 22 = 2105884073 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105884073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45949 + ... + 79517.

It is an arithmetic number, because the mean of its divisors is an integer number (191550420).

Almost surely, 22105884077 is an apocalyptic number.

It is an amenable number.

2105884077 is a deficient number, since it is larger than the sum of its proper divisors (958922643).

2105884077 is a wasteful number, since it uses less digits than its factorization.

2105884077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35484.

The product of its (nonzero) digits is 125440, while the sum is 42.

The square root of 2105884077 is about 45889.9125843578. The cubic root of 2105884077 is about 1281.7740855872.

The spelling of 2105884077 in words is "two billion, one hundred five million, eight hundred eighty-four thousand, seventy-seven".

Divisors: 1 3 11 33 1901 5703 20911 33569 62733 100707 369259 1107777 63814669 191444007 701961359 2105884077