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2075748900 = 223527197453
BaseRepresentation
bin111101110111001…
…0110101000100100
312100122212222011220
41323232112220210
513222342431100
6541550300340
7102303401031
oct17356265044
95318788156
102075748900
11975784965
1249b1b76b0
132710797b4
14159976388
15c2376aa0
hex7bb96a24

2075748900 has 72 divisors (see below), whose sum is σ = 6090485184. Its totient is φ = 545731200.

The previous prime is 2075748889. The next prime is 2075748907. The reversal of 2075748900 is 98475702.

It is not an unprimeable number, because it can be changed into a prime (2075748907) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 27427 + ... + 70026.

It is an arithmetic number, because the mean of its divisors is an integer number (84590072).

Almost surely, 22075748900 is an apocalyptic number.

2075748900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2075748900 is an abundant number, since it is smaller than the sum of its proper divisors (4014736284).

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

2075748900 is a wasteful number, since it uses less digits than its factorization.

2075748900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97541 (or 97534 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 2075748900 is about 45560.3873995821. The cubic root of 2075748900 is about 1275.6306299770.

The spelling of 2075748900 in words is "two billion, seventy-five million, seven hundred forty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 284 300 355 426 710 852 1065 1420 1775 2130 3550 4260 5325 7100 10650 21300 97453 194906 292359 389812 487265 584718 974530 1169436 1461795 1949060 2436325 2923590 4872650 5847180 6919163 7308975 9745300 13838326 14617950 20757489 27676652 29235900 34595815 41514978 69191630 83029956 103787445 138383260 172979075 207574890 345958150 415149780 518937225 691916300 1037874450 2075748900