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242240420 = 225101119921
BaseRepresentation
bin11100111000001…
…00101110100100
3121212211002101102
432130010232210
5444003143140
640012015232
76001003202
oct1634045644
9555732342
10242240420
111148138a4
1269161518
133b256836
142425a072
15163eee15
hexe704ba4

242240420 has 24 divisors (see below), whose sum is σ = 513745848. Its totient is φ = 95936000.

The previous prime is 242240419. The next prime is 242240437. The reversal of 242240420 is 24042242.

It can be written as a sum of positive squares in 4 ways, for example, as 58583716 + 183656704 = 7654^2 + 13552^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 242240392 and 242240401.

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 7 ways as a sum of consecutive naturals, for example, 57941 + ... + 61980.

It is an arithmetic number, because the mean of its divisors is an integer number (21406077).

Almost surely, 2242240420 is an apocalyptic number.

242240420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242240420 is an abundant number, since it is smaller than the sum of its proper divisors (271505428).

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

242240420 is a wasteful number, since it uses less digits than its factorization.

242240420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120031 (or 120029 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 242240420 is about 15564.0746592915. The cubic root of 242240420 is about 623.3742665853.

Adding to 242240420 its reverse (24042242), we get a palindrome (266282662).

The spelling of 242240420 in words is "two hundred forty-two million, two hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 119921 239842 479684 599605 1199210 2398420 12112021 24224042 48448084 60560105 121120210 242240420