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242011040 = 2551512569
BaseRepresentation
bin11100110110011…
…00101110100000
3121212101102201212
432123030232200
5443423323130
640003045252
75666026355
oct1633145640
9555342655
10242011040
11114677527
1269070828
133b1a62cb
14241da62c
15163a6e95
hexe6ccba0

242011040 has 24 divisors (see below), whose sum is σ = 571751460. Its totient is φ = 96804352.

The previous prime is 242011027. The next prime is 242011051. The reversal of 242011040 is 40110242.

242011040 is digitally balanced in base 2, 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 2 ways, for example, as 241989136 + 21904 = 15556^2 + 148^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 756125 + ... + 756444.

Almost surely, 2242011040 is an apocalyptic number.

242011040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242011040 is an abundant number, since it is smaller than the sum of its proper divisors (329740420).

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

242011040 is a wasteful number, since it uses less digits than its factorization.

242011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512584 (or 1512576 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 242011040 is about 15556.7040210965. The cubic root of 242011040 is about 623.1774445661.

Adding to 242011040 its reverse (40110242), we get a palindrome (282121282).

The spelling of 242011040 in words is "two hundred forty-two million, eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1512569 3025138 6050276 7562845 12100552 15125690 24201104 30251380 48402208 60502760 121005520 242011040