Search a number
-
+
242024420 = 225116171783
BaseRepresentation
bin11100110110011…
…11111111100100
3121212102010002102
432123033333210
5443424240140
640003231232
75666113361
oct1633177744
9555363072
10242024420
11114686590
1269078518
133b1ac421
1424201468
15163aae15
hexe6cffe4

242024420 has 48 divisors (see below), whose sum is σ = 555666048. Its totient is φ = 87816960.

The previous prime is 242024399. The next prime is 242024429. The reversal of 242024420 is 24420242.

242024420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 242024392 and 242024401.

It is not an unprimeable number, because it can be changed into a prime (242024429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134849 + ... + 136631.

It is an arithmetic number, because the mean of its divisors is an integer number (11576376).

Almost surely, 2242024420 is an apocalyptic number.

242024420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242024420 is an abundant number, since it is smaller than the sum of its proper divisors (313641628).

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

242024420 is a wasteful number, since it uses less digits than its factorization.

242024420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2418 counting only the distinct ones).

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

The square root of 242024420 is about 15557.1340548316. The cubic root of 242024420 is about 623.1889288364.

Adding to 242024420 its reverse (24420242), we get a palindrome (266444662).

The spelling of 242024420 in words is "two hundred forty-two million, twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 617 1234 1783 2468 3085 3566 6170 6787 7132 8915 12340 13574 17830 19613 27148 33935 35660 39226 67870 78452 98065 135740 196130 392260 1100111 2200222 4400444 5500555 11001110 12101221 22002220 24202442 48404884 60506105 121012210 242024420