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420146163 = 33431013583
BaseRepresentation
bin11001000010101…
…110101111110011
31002021120122012000
4121002232233303
51330024134123
6105405105043
713261116633
oct3102565763
91067518160
10420146163
111a6186038
12b8858183
13690763c8
143db2a6c3
1526d42b43
hex190aebf3

420146163 has 32 divisors (see below), whose sum is σ = 643399680. Its totient is φ = 270799200.

The previous prime is 420146141. The next prime is 420146179. The reversal of 420146163 is 361641024.

420146163 is a `hidden beast` number, since 42 + 0 + 1 + 4 + 616 + 3 = 666.

It is not a de Polignac number, because 420146163 - 216 = 420080627 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (420146863) 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 31 ways as a sum of consecutive naturals, for example, 115470 + ... + 119052.

It is an arithmetic number, because the mean of its divisors is an integer number (20106240).

Almost surely, 2420146163 is an apocalyptic number.

420146163 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

420146163 is a deficient number, since it is larger than the sum of its proper divisors (223253517).

420146163 is a wasteful number, since it uses less digits than its factorization.

420146163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3736 (or 3730 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 420146163 is about 20497.4672337828. The cubic root of 420146163 is about 748.9741013491.

Adding to 420146163 its reverse (361641024), we get a palindrome (781787187).

The spelling of 420146163 in words is "four hundred twenty million, one hundred forty-six thousand, one hundred sixty-three".

Divisors: 1 3 9 27 43 101 129 303 387 909 1161 2727 3583 4343 10749 13029 32247 39087 96741 117261 154069 361883 462207 1085649 1386621 3256947 4159863 9770841 15560969 46682907 140048721 420146163