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420673786 = 21321498353
BaseRepresentation
bin11001000100101…
…111100011111010
31002022120102221121
4121010233203322
51330143030121
6105424255454
713265445121
oct3104574372
91068512847
10420673786
111a6506495
12b8a7158a
13691cc600
143dc26ab8
1526de9141
hex1912f8fa

420673786 has 24 divisors (see below), whose sum is σ = 687951900. Its totient is φ = 192830976.

The previous prime is 420673783. The next prime is 420673819. The reversal of 420673786 is 687376024.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 27405225 + 393268561 = 5235^2 + 19831^2 .

It is a super-3 number, since 3×4206737863 (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (420673783) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46186 + ... + 54538.

Almost surely, 2420673786 is an apocalyptic number.

420673786 is a deficient number, since it is larger than the sum of its proper divisors (267278114).

420673786 is a wasteful number, since it uses less digits than its factorization.

420673786 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8530 (or 8517 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 43.

The square root of 420673786 is about 20510.3336394121. Note that the first 3 decimals coincide. The cubic root of 420673786 is about 749.2874928072.

The spelling of 420673786 in words is "four hundred twenty million, six hundred seventy-three thousand, seven hundred eighty-six".

Divisors: 1 2 13 26 149 169 298 338 1937 3874 8353 16706 25181 50362 108589 217178 1244597 1411657 2489194 2823314 16179761 32359522 210336893 420673786