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2006000620 = 2251319406073
BaseRepresentation
bin111011110010001…
…0010001111101100
312011210122101112021
41313210102033230
513102014004440
6531015315524
7100465503211
oct16744221754
95153571467
102006000620
1193a375a58
1247b97bba4
1325c798720
141505bbb08
15bb19a84a
hex779123ec

2006000620 has 48 divisors (see below), whose sum is σ = 4775430240. Its totient is φ = 701692416.

The previous prime is 2006000597. The next prime is 2006000681. The reversal of 2006000620 is 260006002.

It is a junction number, because it is equal to n+sod(n) for n = 2006000594 and 2006000603.

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, 198097 + ... + 207976.

It is an arithmetic number, because the mean of its divisors is an integer number (99488130).

Almost surely, 22006000620 is an apocalyptic number.

2006000620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006000620 is an abundant number, since it is smaller than the sum of its proper divisors (2769429620).

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

2006000620 is a wasteful number, since it uses less digits than its factorization.

2006000620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406114 (or 406112 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2006000620 is about 44788.3982745532. The cubic root of 2006000620 is about 1261.1798430515.

Adding to 2006000620 its reverse (260006002), we get a palindrome (2266006622).

The spelling of 2006000620 in words is "two billion, six million, six hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 494 988 1235 2470 4940 406073 812146 1624292 2030365 4060730 5278949 7715387 8121460 10557898 15430774 21115796 26394745 30861548 38576935 52789490 77153870 100300031 105578980 154307740 200600062 401200124 501500155 1003000310 2006000620