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2105503120 = 24577095303
BaseRepresentation
bin111110101111111…
…0110110110010000
312102201212122022001
41331133312312100
513303002044440
6544532123344
7103114324030
oct17537666620
95381778261
102105503120
11990557726
124a9166554
13277296946
1415d8bd8c0
15c4ca2b9a
hex7d7f6d90

2105503120 has 80 divisors (see below), whose sum is σ = 5603569920. Its totient is φ = 720732672.

The previous prime is 2105503117. The next prime is 2105503129. The reversal of 2105503120 is 213055012.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2105503129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394389 + ... + 399691.

It is an arithmetic number, because the mean of its divisors is an integer number (70044624).

Almost surely, 22105503120 is an apocalyptic number.

2105503120 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 2105503120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2801784960).

2105503120 is an abundant number, since it is smaller than the sum of its proper divisors (3498066800).

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

2105503120 is a wasteful number, since it uses less digits than its factorization.

2105503120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6032 (or 6026 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 2105503120 is about 45885.7616260208. The cubic root of 2105503120 is about 1281.6967894272.

Adding to 2105503120 its reverse (213055012), we get a palindrome (2318558132).

The spelling of 2105503120 in words is "two billion, one hundred five million, five hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 709 1418 2836 3545 4963 5303 5672 7090 9926 10606 11344 14180 19852 21212 24815 26515 28360 37121 39704 42424 49630 53030 56720 74242 79408 84848 99260 106060 148484 185605 198520 212120 296968 371210 397040 424240 593936 742420 1484840 2969680 3759827 7519654 15039308 18799135 26318789 30078616 37598270 52637578 60157232 75196540 105275156 131593945 150393080 210550312 263187890 300786160 421100624 526375780 1052751560 2105503120