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2105241620 = 225315364067
BaseRepresentation
bin111110101111011…
…0111000000010100
312102201101100120212
41331132313000110
513302420212440
6544522344552
7103112154446
oct17536670024
95381340525
102105241620
11990399209
124a905b158
13277204901
1415d852496
15c4c50465
hex7d7b7014

2105241620 has 48 divisors (see below), whose sum is σ = 4649799168. Its totient is φ = 799543680.

The previous prime is 2105241583. The next prime is 2105241683. The reversal of 2105241620 is 261425012.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 827 + ... + 64893.

It is an arithmetic number, because the mean of its divisors is an integer number (96870816).

Almost surely, 22105241620 is an apocalyptic number.

2105241620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105241620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324899584).

2105241620 is an abundant number, since it is smaller than the sum of its proper divisors (2544557548).

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

2105241620 is a wasteful number, since it uses less digits than its factorization.

2105241620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64160 (or 64158 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 2105241620 is about 45882.9120697455. The cubic root of 2105241620 is about 1281.6437256909.

Adding to 2105241620 its reverse (261425012), we get a palindrome (2366666632).

The spelling of 2105241620 in words is "two billion, one hundred five million, two hundred forty-one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 31 53 62 106 124 155 212 265 310 530 620 1060 1643 3286 6572 8215 16430 32860 64067 128134 256268 320335 640670 1281340 1986077 3395551 3972154 6791102 7944308 9930385 13582204 16977755 19860770 33955510 39721540 67911020 105262081 210524162 421048324 526310405 1052620810 2105241620