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420680745 = 3259348461
BaseRepresentation
bin11001000100110…
…001010000101001
31002022120210111100
4121010301100221
51330143240440
6105424352013
713265504322
oct3104612051
91068523440
10420680745
111a6510741
12b8a75609
1369202824
143dc29449
1526deb230
hex19131429

420680745 has 12 divisors (see below), whose sum is σ = 729180036. Its totient is φ = 224363040.

The previous prime is 420680719. The next prime is 420680753. The reversal of 420680745 is 547086024.

420680745 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 79281216 + 341399529 = 8904^2 + 18477^2 .

It is not a de Polignac number, because 420680745 - 28 = 420680489 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4674186 + ... + 4674275.

It is an arithmetic number, because the mean of its divisors is an integer number (60765003).

Almost surely, 2420680745 is an apocalyptic number.

420680745 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420680745 is a deficient number, since it is larger than the sum of its proper divisors (308499291).

420680745 is a wasteful number, since it uses less digits than its factorization.

420680745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9348472 (or 9348469 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 420680745 is about 20510.5032849026. The cubic root of 420680745 is about 749.2916244828.

The spelling of 420680745 in words is "four hundred twenty million, six hundred eighty thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 45 9348461 28045383 46742305 84136149 140226915 420680745