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242130240 = 26325117643
BaseRepresentation
bin11100110111010…
…01110101000000
3121212121111020200
432123221311000
5443441131430
640005405200
76000034032
oct1633516500
9555544220
10242130240
11114749040
1269109800
133b218641
142422bc52
15163cc460
hexe6e9d40

242130240 has 168 divisors, whose sum is σ = 908657568. Its totient is φ = 58690560.

The previous prime is 242130211. The next prime is 242130241. The reversal of 242130240 is 42031242.

242130240 is a `hidden beast` number, since 2 + 421 + 3 + 0 + 240 = 666.

242130240 is digitally balanced in base 2, 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 (18).

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242130241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27859 + ... + 35501.

It is an arithmetic number, because the mean of its divisors is an integer number (5408676).

Almost surely, 2242130240 is an apocalyptic number.

242130240 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 242130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454328784).

242130240 is an abundant number, since it is smaller than the sum of its proper divisors (666527328).

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

242130240 is a wasteful number, since it uses less digits than its factorization.

242130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7677 (or 7664 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 242130240 is about 15560.5346951832. The cubic root of 242130240 is about 623.2797409448.

Adding to 242130240 its reverse (42031242), we get a palindrome (284161482).

The spelling of 242130240 in words is "two hundred forty-two million, one hundred thirty thousand, two hundred forty".