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420000399 = 32713512821
BaseRepresentation
bin11001000010001…
…011001010001111
31002021022020020100
4121002023022033
51330010003044
6105402022143
713256641650
oct3102131217
91067266210
10420000399
111a6096575
12b87a7953
1369024c60
143dacd527
1526d14869
hex1908b28f

420000399 has 24 divisors (see below), whose sum is σ = 746668832. Its totient is φ = 221538240.

The previous prime is 420000391. The next prime is 420000403. The reversal of 420000399 is 993000024.

It is not a de Polignac number, because 420000399 - 23 = 420000391 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420000391) 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 23 ways as a sum of consecutive naturals, for example, 255592 + ... + 257229.

Almost surely, 2420000399 is an apocalyptic number.

420000399 is a deficient number, since it is larger than the sum of its proper divisors (326668433).

420000399 is a wasteful number, since it uses less digits than its factorization.

420000399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512847 (or 512844 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 420000399 is about 20493.9112665201. The cubic root of 420000399 is about 748.8874758694.

The spelling of 420000399 in words is "four hundred twenty million, three hundred ninety-nine", and thus it is an aban number.

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 512821 1538463 3589747 4615389 6666673 10769241 20000019 32307723 46666711 60000057 140000133 420000399