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420984531 = 321121932003
BaseRepresentation
bin11001000101111…
…011011011010011
31002100011020012200
4121011323123103
51330233001111
6105435054243
713301211102
oct3105733323
91070136180
10420984531
111a66a8a00
12b8ba1383
13692aab96
143dca8039
1526e5b256
hex1917b6d3

420984531 has 36 divisors (see below), whose sum is σ = 672193704. Its totient is φ = 253693440.

The previous prime is 420984523. The next prime is 420984541. The reversal of 420984531 is 135489024.

420984531 is a `hidden beast` number, since 42 + 0 + 9 + 84 + 531 = 666.

It is not a de Polignac number, because 420984531 - 23 = 420984523 is a prime.

It is a super-2 number, since 2×4209845312 = 354455950682579922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (420984511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 209176 + ... + 211178.

Almost surely, 2420984531 is an apocalyptic number.

420984531 is a deficient number, since it is larger than the sum of its proper divisors (251209173).

420984531 is a wasteful number, since it uses less digits than its factorization.

420984531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 420984531 is about 20517.9075687556. The cubic root of 420984531 is about 749.4719429616.

The spelling of 420984531 in words is "four hundred twenty million, nine hundred eighty-four thousand, five hundred thirty-one".

Divisors: 1 3 9 11 33 99 121 193 363 579 1089 1737 2003 2123 6009 6369 18027 19107 22033 23353 66099 70059 198297 210177 242363 386579 727089 1159737 2181267 3479211 4252369 12757107 38271321 46776059 140328177 420984531