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2105421140 = 225105271057
BaseRepresentation
bin111110101111110…
…0010110101010100
312102201201110211202
41331133202311110
513302441434030
6544530252032
7103113533024
oct17537426524
95381643752
102105421140
11990501079
124a9127018
13277268534
1415d89ba84
15c4c88745
hex7d7e2d54

2105421140 has 12 divisors (see below), whose sum is σ = 4421384436. Its totient is φ = 842168448.

The previous prime is 2105421139. The next prime is 2105421163. The reversal of 2105421140 is 411245012.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1518037444 + 587383696 = 38962^2 + 24236^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 105271057 = 2105421140 / (2 + 1 + 0 + 5 + 4 + 2 + 1 + 1 + 4 + 0).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 52635509 + ... + 52635548.

It is an arithmetic number, because the mean of its divisors is an integer number (368448703).

Almost surely, 22105421140 is an apocalyptic number.

2105421140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2105421140 is an abundant number, since it is smaller than the sum of its proper divisors (2315963296).

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

2105421140 is a wasteful number, since it uses less digits than its factorization.

2105421140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105271066 (or 105271064 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2105421140 is about 45884.8683118956. The cubic root of 2105421140 is about 1281.6801544694.

Adding to 2105421140 its reverse (411245012), we get a palindrome (2516666152).

The spelling of 2105421140 in words is "two billion, one hundred five million, four hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 105271057 210542114 421084228 526355285 1052710570 2105421140