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420481935 = 3451038227
BaseRepresentation
bin11001000100000…
…000101110001111
31002022012200210000
4121010000232033
51330120410220
6105420215343
713264015566
oct3104005617
91068180700
10420481935
111a6395335
12b899a553
13691631a3
143dbb6bdd
1526dac390
hex19100b8f

420481935 has 20 divisors (see below), whose sum is σ = 753753528. Its totient is φ = 224256816.

The previous prime is 420481931. The next prime is 420481939. The reversal of 420481935 is 539184024.

420481935 is a `hidden beast` number, since 420 + 48 + 193 + 5 = 666.

420481935 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (420481931) and next prime (420481939).

It is not a de Polignac number, because 420481935 - 22 = 420481931 is a prime.

It is a super-2 number, since 2×4204819352 = 353610115322688450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 420481935.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420481931) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 518709 + ... + 519518.

Almost surely, 2420481935 is an apocalyptic number.

420481935 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

420481935 is a deficient number, since it is larger than the sum of its proper divisors (333271593).

420481935 is a wasteful number, since it uses less digits than its factorization.

420481935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038244 (or 1038235 counting only the distinct ones).

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

The square root of 420481935 is about 20505.6561709203. The cubic root of 420481935 is about 749.1735696851.

The spelling of 420481935 in words is "four hundred twenty million, four hundred eighty-one thousand, nine hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 1038227 3114681 5191135 9344043 15573405 28032129 46720215 84096387 140160645 420481935