Search a number
-
+
420520220 = 2254371297
BaseRepresentation
bin11001000100001…
…010000100011100
31002022021122021222
4121010022010130
51330123121340
6105421112512
713264235321
oct3104120434
91068248258
10420520220
111a641107a
12b89b8738
1369177743
143dbc6b48
1526db88b5
hex1910a11c

420520220 has 72 divisors (see below), whose sum is σ = 925984752. Its totient is φ = 160312320.

The previous prime is 420520187. The next prime is 420520237. The reversal of 420520220 is 22025024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4335212 + ... + 4335308.

Almost surely, 2420520220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420520220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462992376).

420520220 is an abundant number, since it is smaller than the sum of its proper divisors (505464532).

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

420520220 is a wasteful number, since it uses less digits than its factorization.

420520220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 420520220 is about 20506.5896725906. The cubic root of 420520220 is about 749.1963064840.

Adding to 420520220 its reverse (22025024), we get a palindrome (442545244).

The spelling of 420520220 in words is "four hundred twenty million, five hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 71 86 97 142 172 194 215 284 355 388 430 485 710 860 970 1420 1940 3053 4171 5041 6106 6887 8342 10082 12212 13774 15265 16684 20164 20855 25205 27548 30530 34435 41710 50410 61060 68870 83420 100820 137740 216763 296141 433526 488977 592282 867052 977954 1083815 1184564 1480705 1955908 2167630 2444885 2961410 4335260 4889770 5922820 9779540 21026011 42052022 84104044 105130055 210260110 420520220