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2305055060 = 2257211213827
BaseRepresentation
bin1000100101100100…
…0101100101010100
312221122100221002122
42021121011211110
514210043230220
61020421155112
7111056434100
oct21131054524
95848327078
102305055060
11a83163a90
12543b5ba98
132a9725009
1417c1c6900
15d756e425
hex89645954

2305055060 has 72 divisors (see below), whose sum is σ = 6142850784. Its totient is φ = 718455360.

The previous prime is 2305055059. The next prime is 2305055087. The reversal of 2305055060 is 605505032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96134 + ... + 117693.

It is an arithmetic number, because the mean of its divisors is an integer number (85317372).

Almost surely, 22305055060 is an apocalyptic number.

2305055060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2305055060 is an abundant number, since it is smaller than the sum of its proper divisors (3837795724).

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

2305055060 is a wasteful number, since it uses less digits than its factorization.

2305055060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213861 (or 213852 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 2305055060 is about 48010.9889504476. The cubic root of 2305055060 is about 1320.9724736166.

The spelling of 2305055060 in words is "two billion, three hundred five million, fifty-five thousand, sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2695 5390 10780 213827 427654 855308 1069135 1496789 2138270 2352097 2993578 4276540 4704194 5987156 7483945 9408388 10477523 11760485 14967890 16464679 20955046 23520970 29935780 32929358 41910092 47041940 52387615 65858716 82323395 104775230 115252753 164646790 209550460 230505506 329293580 461011012 576263765 1152527530 2305055060