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2006502020 = 225917310937
BaseRepresentation
bin111011110011000…
…1100101010000100
312011211120212022122
41313212030222010
513102131031040
6531034145112
7100502662055
oct16746145204
95154525278
102006502020
1193a688736
1247bb82198
1325c912a03
141506ac72c
15bb2491b5
hex7798ca84

2006502020 has 24 divisors (see below), whose sum is σ = 4214498904. Its totient is φ = 802439936.

The previous prime is 2006502013. The next prime is 2006502053. The reversal of 2006502020 is 202056002.

It can be written as a sum of positive squares in 4 ways, for example, as 172607044 + 1833894976 = 13138^2 + 42824^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2006502020.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177992 + ... + 188928.

It is an arithmetic number, because the mean of its divisors is an integer number (175604121).

Almost surely, 22006502020 is an apocalyptic number.

2006502020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006502020 is an abundant number, since it is smaller than the sum of its proper divisors (2207996884).

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

2006502020 is a wasteful number, since it uses less digits than its factorization.

2006502020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20119 (or 20117 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2006502020 is about 44793.9953565207. The cubic root of 2006502020 is about 1261.2849116290.

Adding to 2006502020 its reverse (202056002), we get a palindrome (2208558022).

The spelling of 2006502020 in words is "two billion, six million, five hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 9173 10937 18346 21874 36692 43748 45865 54685 91730 109370 183460 218740 100325101 200650202 401300404 501625505 1003251010 2006502020