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242042020 = 225119071213
BaseRepresentation
bin11100110110101…
…00010010100100
3121212110000020021
432123110102210
5443430321040
640003444524
75666215603
oct1633242244
9555400207
10242042020
11114698830
1269086744
133b1b743c
1424207a3a
15163b124a
hexe6d44a4

242042020 has 48 divisors (see below), whose sum is σ = 555565248. Its totient is φ = 87845760.

The previous prime is 242042011. The next prime is 242042071. The reversal of 242042020 is 20240242.

It is a junction number, because it is equal to n+sod(n) for n = 242041985 and 242042003.

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 15 ways as a sum of consecutive naturals, for example, 198934 + ... + 200146.

It is an arithmetic number, because the mean of its divisors is an integer number (11574276).

Almost surely, 2242042020 is an apocalyptic number.

242042020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242042020 is an abundant number, since it is smaller than the sum of its proper divisors (313523228).

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

242042020 is a wasteful number, since it uses less digits than its factorization.

242042020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2138 counting only the distinct ones).

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

The square root of 242042020 is about 15557.6997014340. The cubic root of 242042020 is about 623.2040345563.

Adding to 242042020 its reverse (20240242), we get a palindrome (262282262).

The spelling of 242042020 in words is "two hundred forty-two million, forty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 907 1213 1814 2426 3628 4535 4852 6065 9070 9977 12130 13343 18140 19954 24260 26686 39908 49885 53372 66715 99770 133430 199540 266860 1100191 2200382 4400764 5500955 11001910 12102101 22003820 24204202 48408404 60510505 121021010 242042020