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242003140 = 22543439641
BaseRepresentation
bin11100110110010…
…10110011000100
3121212101000220021
432123022303010
5443423100030
640002544524
75665664341
oct1633126304
9555330807
10242003140
111146715a5
1269068144
133b1a2832
14241d77c8
15163a497a
hexe6cacc4

242003140 has 48 divisors (see below), whose sum is σ = 522023040. Its totient is φ = 94187520.

The previous prime is 242003137. The next prime is 242003147. The reversal of 242003140 is 41300242.

242003140 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (242003147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377220 + ... + 377860.

It is an arithmetic number, because the mean of its divisors is an integer number (10875480).

Almost surely, 2242003140 is an apocalyptic number.

242003140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242003140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261011520).

242003140 is an abundant number, since it is smaller than the sum of its proper divisors (280019900).

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

242003140 is a wasteful number, since it uses less digits than its factorization.

242003140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 242003140 is about 15556.4501091991. The cubic root of 242003140 is about 623.1706636697.

Adding to 242003140 its reverse (41300242), we get a palindrome (283303382).

The spelling of 242003140 in words is "two hundred forty-two million, three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 439 641 860 878 1282 1756 2195 2564 3205 4390 6410 8780 12820 18877 27563 37754 55126 75508 94385 110252 137815 188770 275630 281399 377540 551260 562798 1125596 1406995 2813990 5627980 12100157 24200314 48400628 60500785 121001570 242003140