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240202420 = 22543327737
BaseRepresentation
bin11100101000100…
…11001010110100
3121201222112202221
432110103022310
5442442434140
635500212124
75644454413
oct1624231264
9551875687
10240202420
111136516a7
126853a044
133a9c2013
1423c8947a
151614b14a
hexe5132b4

240202420 has 24 divisors (see below), whose sum is σ = 505608264. Its totient is φ = 95855616.

The previous prime is 240202387. The next prime is 240202463. The reversal of 240202420 is 24202042.

It can be written as a sum of positive squares in 4 ways, for example, as 23406244 + 216796176 = 4838^2 + 14724^2 .

It is a junction number, because it is equal to n+sod(n) for n = 240202394 and 240202403.

It is a congruent number.

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, 5209 + ... + 22528.

It is an arithmetic number, because the mean of its divisors is an integer number (21067011).

Almost surely, 2240202420 is an apocalyptic number.

240202420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240202420 is an abundant number, since it is smaller than the sum of its proper divisors (265405844).

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

240202420 is a wasteful number, since it uses less digits than its factorization.

240202420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28179 (or 28177 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 240202420 is about 15498.4650852915. The cubic root of 240202420 is about 621.6211648741.

Adding to 240202420 its reverse (24202042), we get a palindrome (264404462).

The spelling of 240202420 in words is "two hundred forty million, two hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 433 866 1732 2165 4330 8660 27737 55474 110948 138685 277370 554740 12010121 24020242 48040484 60050605 120101210 240202420