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240404420 = 22512020221
BaseRepresentation
bin11100101010001…
…00011111000100
3121202100210212102
432111010133010
5443020420140
635504411232
75646255344
oct1625043704
9552323772
10240404420
1111377a443
1268616b18
133aa62c49
1423cdcd24
151618ae15
hexe5447c4

240404420 has 12 divisors (see below), whose sum is σ = 504849324. Its totient is φ = 96161760.

The previous prime is 240404413. The next prime is 240404447. The reversal of 240404420 is 24404042.

It can be written as a sum of positive squares in 2 ways, for example, as 82047364 + 158357056 = 9058^2 + 12584^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 12020221 = 240404420 / (2 + 4 + 0 + 4 + 0 + 4 + 4 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 240404392 and 240404401.

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 3 ways as a sum of consecutive naturals, for example, 6010091 + ... + 6010130.

It is an arithmetic number, because the mean of its divisors is an integer number (42070777).

Almost surely, 2240404420 is an apocalyptic number.

240404420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240404420 is an abundant number, since it is smaller than the sum of its proper divisors (264444904).

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

240404420 is a wasteful number, since it uses less digits than its factorization.

240404420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12020230 (or 12020228 counting only the distinct ones).

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

The square root of 240404420 is about 15504.9804901522. The cubic root of 240404420 is about 621.7953683546.

Adding to 240404420 its reverse (24404042), we get a palindrome (264808462).

The spelling of 240404420 in words is "two hundred forty million, four hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 12020221 24040442 48080884 60101105 120202210 240404420