Search a number
-
+
420516536 = 231123320509
BaseRepresentation
bin11001000100001…
…001001010111000
31002022021110020112
4121010021022320
51330123012121
6105421043452
713264221506
oct3104111270
91068243215
10420516536
111a6409330
12b89b6588
1369175b6b
143dbc5676
1526db775b
hex191092b8

420516536 has 32 divisors (see below), whose sum is σ = 863881200. Its totient is φ = 190314240.

The previous prime is 420516533. The next prime is 420516557. The reversal of 420516536 is 635615024.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420516533) 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 7 ways as a sum of consecutive naturals, for example, 10250 + ... + 30758.

Almost surely, 2420516536 is an apocalyptic number.

It is an amenable number.

420516536 is an abundant number, since it is smaller than the sum of its proper divisors (443364664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420516536 is a wasteful number, since it uses less digits than its factorization.

420516536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20759 (or 20755 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 420516536 is about 20506.4998476093. The cubic root of 420516536 is about 749.1941186802.

The spelling of 420516536 in words is "four hundred twenty million, five hundred sixteen thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 22 44 88 233 466 932 1864 2563 5126 10252 20504 20509 41018 82036 164072 225599 451198 902396 1804792 4778597 9557194 19114388 38228776 52564567 105129134 210258268 420516536