Search a number
-
+
240042020 = 22597123733
BaseRepresentation
bin11100100111011…
…00000000100100
3121201200101202012
432103230000210
5442422321040
635452533352
75643215651
oct1623540044
9551611665
10240042020
11113552139
1268481258
133a966cca
1423c46c28
1516118865
hexe4ec024

240042020 has 24 divisors (see below), whose sum is σ = 509289144. Its totient is φ = 95026176.

The previous prime is 240042017. The next prime is 240042073. The reversal of 240042020 is 20240042.

It is a happy number.

240042020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 48330304 + 191711716 = 6952^2 + 13846^2 .

It is a junction number, because it is equal to n+sod(n) for n = 240041986 and 240042004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59927 + ... + 63806.

It is an arithmetic number, because the mean of its divisors is an integer number (21220381).

Almost surely, 2240042020 is an apocalyptic number.

240042020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240042020 is an abundant number, since it is smaller than the sum of its proper divisors (269247124).

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

240042020 is a wasteful number, since it uses less digits than its factorization.

240042020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123839 (or 123837 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 240042020 is about 15493.2895151417. The cubic root of 240042020 is about 621.4827673826.

Adding to 240042020 its reverse (20240042), we get a palindrome (260282062).

The spelling of 240042020 in words is "two hundred forty million, forty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 97 194 388 485 970 1940 123733 247466 494932 618665 1237330 2474660 12002101 24004202 48008404 60010505 120021010 240042020