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1006420025 = 521319349467
BaseRepresentation
bin111011111111001…
…100000000111001
32121010202102201202
4323333030000321
54030120420100
6243511023545
733640300112
oct7377140071
92533672652
101006420025
11477109296
1224106abb5
13130677410
149793d209
155d54d7d5
hex3bfcc039

1006420025 has 48 divisors (see below), whose sum is σ = 1421784000. Its totient is φ = 700565760.

The previous prime is 1006420001. The next prime is 1006420049. The reversal of 1006420025 is 5200246001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1006420001) and next prime (1006420049).

It is not a de Polignac number, because 1006420025 - 224 = 989642809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1006419979 and 1006420006.

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 47 ways as a sum of consecutive naturals, for example, 2154842 + ... + 2155308.

It is an arithmetic number, because the mean of its divisors is an integer number (29620500).

Almost surely, 21006420025 is an apocalyptic number.

It is an amenable number.

1006420025 is a deficient number, since it is larger than the sum of its proper divisors (415363975).

1006420025 is a wasteful number, since it uses less digits than its factorization.

1006420025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1006420025 is about 31724.1237073619. The cubic root of 1006420025 is about 1002.1354449622.

Adding to 1006420025 its reverse (5200246001), we get a palindrome (6206666026).

The spelling of 1006420025 in words is "one billion, six million, four hundred twenty thousand, twenty-five".

Divisors: 1 5 13 19 25 65 95 247 325 349 467 475 1235 1745 2335 4537 6071 6175 6631 8725 8873 11675 22685 30355 33155 44365 86203 113425 115349 151775 162983 165775 221825 431015 576745 814915 2118779 2155075 2883725 3096677 4074575 10593895 15483385 40256801 52969475 77416925 201284005 1006420025