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420065262 = 2321910112161
BaseRepresentation
bin11001000010011…
…010111111101110
31002021102112012200
4121002122333232
51330014042022
6105403242330
713260332031
oct3102327756
91067375180
10420065262
111a6130281
12b88193a6
1369048636
143db09018
1526d28bac
hex1909afee

420065262 has 48 divisors (see below), whose sum is σ = 967608720. Its totient is φ = 131328000.

The previous prime is 420065251. The next prime is 420065263. The reversal of 420065262 is 262560024.

420065262 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 652 + 6 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420065263) 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 23 ways as a sum of consecutive naturals, for example, 28462 + ... + 40622.

It is an arithmetic number, because the mean of its divisors is an integer number (20158515).

Almost surely, 2420065262 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420065262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483804360).

420065262 is an abundant number, since it is smaller than the sum of its proper divisors (547543458).

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

420065262 is a wasteful number, since it uses less digits than its factorization.

420065262 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12289 (or 12286 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 420065262 is about 20495.4936998356. The cubic root of 420065262 is about 748.9260255058.

The spelling of 420065262 in words is "four hundred twenty million, sixty-five thousand, two hundred sixty-two".

Divisors: 1 2 3 6 9 18 19 38 57 101 114 171 202 303 342 606 909 1818 1919 3838 5757 11514 12161 17271 24322 34542 36483 72966 109449 218898 231059 462118 693177 1228261 1386354 2079531 2456522 3684783 4159062 7369566 11054349 22108698 23336959 46673918 70010877 140021754 210032631 420065262