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420476505 = 35145919213
BaseRepresentation
bin11001000011111…
…111011001011001
31002022012102022220
4121003333121121
51330120222010
6105420134253
713263664011
oct3103773131
91068172286
10420476505
111a6391249
12b8997389
1369160887
143dbb4c41
1526daa970
hex190ff659

420476505 has 16 divisors (see below), whose sum is σ = 673258560. Its totient is φ = 224088768.

The previous prime is 420476471. The next prime is 420476531. The reversal of 420476505 is 505674024.

420476505 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-420476505 is a prime.

It is a super-3 number, since 3×4204765053 (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

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, 12279 + ... + 31491.

It is an arithmetic number, because the mean of its divisors is an integer number (42078660).

Almost surely, 2420476505 is an apocalyptic number.

It is an amenable number.

420476505 is a deficient number, since it is larger than the sum of its proper divisors (252782055).

420476505 is a wasteful number, since it uses less digits than its factorization.

420476505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20680.

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 420476505 is about 20505.5237679997. The cubic root of 420476505 is about 749.1703447903.

The spelling of 420476505 in words is "four hundred twenty million, four hundred seventy-six thousand, five hundred five".

Divisors: 1 3 5 15 1459 4377 7295 19213 21885 57639 96065 288195 28031767 84095301 140158835 420476505