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420364755 = 3353538821
BaseRepresentation
bin11001000011100…
…100000111010011
31002021222202001000
4121003210013103
51330103133010
6105413513043
713263020136
oct3103440723
91067882030
10420364755
111a6315298
12b8942783
1369121a55
143db8621d
1526d877c0
hex190e41d3

420364755 has 32 divisors (see below), whose sum is σ = 749517120. Its totient is φ = 223534080.

The previous prime is 420364751. The next prime is 420364771. The reversal of 420364755 is 557463024.

420364755 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 647 + 5 + 5 = 666.

It is not a de Polignac number, because 420364755 - 22 = 420364751 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420364751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43245 + ... + 52065.

It is an arithmetic number, because the mean of its divisors is an integer number (23422410).

Almost surely, 2420364755 is an apocalyptic number.

420364755 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

420364755 is a deficient number, since it is larger than the sum of its proper divisors (329152365).

420364755 is a wasteful number, since it uses less digits than its factorization.

420364755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9188 (or 9182 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 420364755 is about 20502.7987113955. The cubic root of 420364755 is about 749.1039699331.

The spelling of 420364755 in words is "four hundred twenty million, three hundred sixty-four thousand, seven hundred fifty-five".

Divisors: 1 3 5 9 15 27 45 135 353 1059 1765 3177 5295 8821 9531 15885 26463 44105 47655 79389 132315 238167 396945 1190835 3113813 9341439 15569065 28024317 46707195 84072951 140121585 420364755