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420000427 = 71122923819
BaseRepresentation
bin11001000010001…
…011001010101011
31002021022020021101
4121002023022223
51330010003202
6105402022231
713256642020
oct3102131253
91067266241
10420000427
111a60965a0
12b87a7977
1369024c82
143dacd547
1526d14887
hex1908b2ab

420000427 has 16 divisors (see below), whose sum is σ = 525945600. Its totient is φ = 325830240.

The previous prime is 420000403. The next prime is 420000439. The reversal of 420000427 is 724000024.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-420000427 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420000457) 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 15 ways as a sum of consecutive naturals, for example, 5724 + ... + 29542.

It is an arithmetic number, because the mean of its divisors is an integer number (32871600).

Almost surely, 2420000427 is an apocalyptic number.

420000427 is a deficient number, since it is larger than the sum of its proper divisors (105945173).

420000427 is a wasteful number, since it uses less digits than its factorization.

420000427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24066.

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 420000427 is about 20493.9119496498. The cubic root of 420000427 is about 748.8874925113.

The spelling of 420000427 in words is "four hundred twenty million, four hundred twenty-seven", and thus it is an aban number.

Divisors: 1 7 11 77 229 1603 2519 17633 23819 166733 262009 1834063 5454551 38181857 60000061 420000427