Search a number
-
+
420324200 = 23522101621
BaseRepresentation
bin11001000011011…
…010001101101000
31002021220200101222
4121003122031220
51330100333300
6105413001212
713262460662
oct3103321550
91067820358
10420324200
111a629787a
12b8923208
136910945a
143db75532
1526d7a785
hex190da368

420324200 has 24 divisors (see below), whose sum is σ = 977254230. Its totient is φ = 168129600.

The previous prime is 420324199. The next prime is 420324211. The reversal of 420324200 is 2423024.

It can be written as a sum of positive squares in 3 ways, for example, as 344250916 + 76073284 = 18554^2 + 8722^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1050611 + ... + 1051010.

Almost surely, 2420324200 is an apocalyptic number.

420324200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420324200 is an abundant number, since it is smaller than the sum of its proper divisors (556930030).

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

420324200 is a wasteful number, since it uses less digits than its factorization.

420324200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101637 (or 2101628 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 420324200 is about 20501.8096762213. The cubic root of 420324200 is about 749.0798790389.

Adding to 420324200 its reverse (2423024), we get a palindrome (422747224).

The spelling of 420324200 in words is "four hundred twenty million, three hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2101621 4203242 8406484 10508105 16812968 21016210 42032420 52540525 84064840 105081050 210162100 420324200