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420580689 = 33121131291
BaseRepresentation
bin11001000100011…
…000110101010001
31002022101201020120
4121010120311101
51330132040224
6105422300453
713264606524
oct3104306521
91068351216
10420580689
111a6452551
12b8a27729
1369199119
143dc00bbb
1526dcb779
hex19118d51

420580689 has 24 divisors (see below), whose sum is σ = 585027936. Its totient is φ = 268732800.

The previous prime is 420580639. The next prime is 420580703. The reversal of 420580689 is 986085024.

It is not a de Polignac number, because 420580689 - 216 = 420515153 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 420580689.

It is not an unprimeable number, because it can be changed into a prime (420580639) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325134 + ... + 326424.

It is an arithmetic number, because the mean of its divisors is an integer number (24376164).

Almost surely, 2420580689 is an apocalyptic number.

It is an amenable number.

420580689 is a deficient number, since it is larger than the sum of its proper divisors (164447247).

420580689 is a wasteful number, since it uses less digits than its factorization.

420580689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 420580689 is about 20508.0639993150. The cubic root of 420580689 is about 749.2322151657.

The spelling of 420580689 in words is "four hundred twenty million, five hundred eighty thousand, six hundred eighty-nine".

Divisors: 1 3 31 93 113 339 961 1291 2883 3503 3873 10509 40021 108593 120063 145883 325779 437649 1240651 3721953 4522373 13567119 140193563 420580689