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2006682020 = 225716785829
BaseRepresentation
bin111011110011011…
…1000100110100100
312011211221000020022
41313212320212210
513102202311040
6531042054312
7100504341620
oct16746704644
95154830208
102006682020
1193a7a09a2
1248004a398
1325c976915
14150718180
15bb2826b5
hex779b89a4

2006682020 has 48 divisors (see below), whose sum is σ = 4844931840. Its totient is φ = 683877504.

The previous prime is 2006681933. The next prime is 2006682031. The reversal of 2006682020 is 202866002.

2006682020 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19535 + ... + 66294.

It is an arithmetic number, because the mean of its divisors is an integer number (100936080).

Almost surely, 22006682020 is an apocalyptic number.

2006682020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006682020 is an abundant number, since it is smaller than the sum of its proper divisors (2838249820).

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

2006682020 is a wasteful number, since it uses less digits than its factorization.

2006682020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86012 (or 86010 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 2006682020 is about 44796.0045093310. The cubic root of 2006682020 is about 1261.3226264337.

The spelling of 2006682020 in words is "two billion, six million, six hundred eighty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 167 334 668 835 1169 1670 2338 3340 4676 5845 11690 23380 85829 171658 343316 429145 600803 858290 1201606 1716580 2403212 3004015 6008030 12016060 14333443 28666886 57333772 71667215 100334101 143334430 200668202 286668860 401336404 501670505 1003341010 2006682020