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420502401 = 33111415833
BaseRepresentation
bin11001000100000…
…101101110000001
31002022020201212000
4121010011232001
51330122034101
6105420454213
713264132344
oct3104055601
91068221760
10420502401
111a63a9750
12b89aa369
136916c5b7
143dbc045b
1526db3486
hex19105b81

420502401 has 16 divisors (see below), whose sum is σ = 679600320. Its totient is φ = 254849760.

The previous prime is 420502393. The next prime is 420502427. The reversal of 420502401 is 104205024.

420502401 is a `hidden beast` number, since 420 + 5 + 0 + 240 + 1 = 666.

It is not a de Polignac number, because 420502401 - 23 = 420502393 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (420502441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 707620 + ... + 708213.

It is an arithmetic number, because the mean of its divisors is an integer number (42475020).

Almost surely, 2420502401 is an apocalyptic number.

It is an amenable number.

420502401 is a deficient number, since it is larger than the sum of its proper divisors (259097919).

420502401 is a wasteful number, since it uses less digits than its factorization.

420502401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415853 (or 1415847 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 420502401 is about 20506.1551978912. The cubic root of 420502401 is about 749.1857242600.

Adding to 420502401 its reverse (104205024), we get a palindrome (524707425).

It can be divided in two parts, 420502 and 401, that added together give a triangular number (420903 = T917).

The spelling of 420502401 in words is "four hundred twenty million, five hundred two thousand, four hundred one".

Divisors: 1 3 9 11 27 33 99 297 1415833 4247499 12742497 15574163 38227491 46722489 140167467 420502401