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420303680 = 2651313449
BaseRepresentation
bin11001000011010…
…101001101000000
31002021212122020222
4121003111031000
51330044204210
6105412322212
713262344106
oct3103251500
91067778228
10420303680
111a6283415
12b8913368
1369100004
143db6bc76
1526d74655
hex190d5340

420303680 has 28 divisors (see below), whose sum is σ = 1000848900. Its totient is φ = 168121344.

The previous prime is 420303677. The next prime is 420303703. The reversal of 420303680 is 86303024.

It can be written as a sum of positive squares in 2 ways, for example, as 255232576 + 165071104 = 15976^2 + 12848^2 .

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 656405 + ... + 657044.

Almost surely, 2420303680 is an apocalyptic number.

420303680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420303680 is an abundant number, since it is smaller than the sum of its proper divisors (580545220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420303680 is a wasteful number, since it uses less digits than its factorization.

420303680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313466 (or 1313456 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 420303680 is about 20501.3092264860. The cubic root of 420303680 is about 749.0676889491.

The spelling of 420303680 in words is "four hundred twenty million, three hundred three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1313449 2626898 5253796 6567245 10507592 13134490 21015184 26268980 42030368 52537960 84060736 105075920 210151840 420303680