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241068240 = 24325726833
BaseRepresentation
bin11100101111001…
…10100011010000
3121210121112110100
432113212203100
5443203140430
635530532400
75655021600
oct1627464320
9553545410
10241068240
11114093156
1268897100
133ac3613a
1424032c00
151626c960
hexe5e68d0

241068240 has 180 divisors, whose sum is σ = 941902884. Its totient is φ = 55093248.

The previous prime is 241068227. The next prime is 241068259. The reversal of 241068240 is 42860142.

241068240 is a `hidden beast` number, since 2 + 410 + 6 + 8 + 240 = 666.

241068240 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 55890576 + 185177664 = 7476^2 + 13608^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×2410682402 = 116227792673395200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31864 + ... + 38696.

Almost surely, 2241068240 is an apocalyptic number.

241068240 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 241068240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470951442).

241068240 is an abundant number, since it is smaller than the sum of its proper divisors (700834644).

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

241068240 is a wasteful number, since it uses less digits than its factorization.

241068240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6866 (or 6850 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 241068240 is about 15526.3724031082. The cubic root of 241068240 is about 622.3671560528.

The spelling of 241068240 in words is "two hundred forty-one million, sixty-eight thousand, two hundred forty".