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2010072640 = 2656281477
BaseRepresentation
bin111011111001111…
…0100011001000000
312012002022021021211
41313303310121000
513104034311030
6531242455504
7100545223042
oct16763643100
95162267254
102010072640
119416a7364
12481204594
13260592cc4
14150d5ba92
15bb70212a
hex77cf4640

2010072640 has 28 divisors (see below), whose sum is σ = 4786486236. Its totient is φ = 804028928.

The previous prime is 2010072569. The next prime is 2010072661. The reversal of 2010072640 is 462700102.

It can be written as a sum of positive squares in 2 ways, for example, as 1323213376 + 686859264 = 36376^2 + 26208^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3140419 + ... + 3141058.

It is an arithmetic number, because the mean of its divisors is an integer number (170945937).

Almost surely, 22010072640 is an apocalyptic number.

2010072640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010072640 is an abundant number, since it is smaller than the sum of its proper divisors (2776413596).

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

2010072640 is an equidigital number, since it uses as much as digits as its factorization.

2010072640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6281494 (or 6281484 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 2010072640 is about 44833.8336527226. The cubic root of 2010072640 is about 1262.0326308471.

Adding to 2010072640 its reverse (462700102), we get a palindrome (2472772742).

The spelling of 2010072640 in words is "two billion, ten million, seventy-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 6281477 12562954 25125908 31407385 50251816 62814770 100503632 125629540 201007264 251259080 402014528 502518160 1005036320 2010072640