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2105530000 = 2454724297
BaseRepresentation
bin111110101111111…
…1101011010010000
312102201221000011121
41331133331122100
513303003430000
6544532452024
7103114465300
oct17537753220
95381830147
102105530000
11990575942
124a917a014
132772a5c52
1415d8c9600
15c4caab1a
hex7d7fd690

2105530000 has 150 divisors (see below), whose sum is σ = 5931356046. Its totient is φ = 721728000.

The previous prime is 2105529929. The next prime is 2105530027. The reversal of 2105530000 is 355012.

It can be written as a sum of positive squares in 5 ways, for example, as 788711056 + 1316818944 = 28084^2 + 36288^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 487852 + ... + 492148.

Almost surely, 22105530000 is an apocalyptic number.

2105530000 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 2105530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2965678023).

2105530000 is an abundant number, since it is smaller than the sum of its proper divisors (3825826046).

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

2105530000 is an equidigital number, since it uses as much as digits as its factorization.

2105530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4339 (or 4311 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 2105530000 is about 45886.0545264027. The cubic root of 2105530000 is about 1281.7022436838.

Adding to 2105530000 its reverse (355012), we get a palindrome (2105885012).

The spelling of 2105530000 in words is "two billion, one hundred five million, five hundred thirty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 350 392 400 490 500 560 625 700 784 875 980 1000 1225 1250 1400 1750 1960 2000 2450 2500 2800 3500 3920 4297 4375 4900 5000 6125 7000 8594 8750 9800 10000 12250 14000 17188 17500 19600 21485 24500 30079 30625 34376 35000 42970 49000 60158 61250 68752 70000 85940 98000 107425 120316 122500 150395 171880 210553 214850 240632 245000 300790 343760 421106 429700 481264 490000 537125 601580 751975 842212 859400 1052765 1074250 1203160 1503950 1684424 1718800 2105530 2148500 2406320 2685625 3007900 3368848 3759875 4211060 4297000 5263825 5371250 6015800 7519750 8422120 8594000 10527650 10742500 12031600 15039500 16844240 18799375 21055300 21485000 26319125 30079000 37598750 42110600 42970000 52638250 60158000 75197500 84221200 105276500 131595625 150395000 210553000 263191250 300790000 421106000 526382500 1052765000 2105530000