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241641040 = 2453020513
BaseRepresentation
bin11100110011100…
…10011001010000
3121211200122012011
432121302121100
5443330003130
635551112304
75662625554
oct1631623120
9554618164
10241641040
11114444543
1268b12694
133b0a6a84
1424141864
151633252a
hexe672650

241641040 has 20 divisors (see below), whose sum is σ = 561815604. Its totient is φ = 96656384.

The previous prime is 241641017. The next prime is 241641041. The reversal of 241641040 is 40146142.

It can be written as a sum of positive squares in 2 ways, for example, as 40908816 + 200732224 = 6396^2 + 14168^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241641041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1510177 + ... + 1510336.

Almost surely, 2241641040 is an apocalyptic number.

241641040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241641040 is an abundant number, since it is smaller than the sum of its proper divisors (320174564).

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

241641040 is a wasteful number, since it uses less digits than its factorization.

241641040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020526 (or 3020520 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 241641040 is about 15544.8074931792. The cubic root of 241641040 is about 622.8596997502.

Adding to 241641040 its reverse (40146142), we get a palindrome (281787182).

The spelling of 241641040 in words is "two hundred forty-one million, six hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3020513 6041026 12082052 15102565 24164104 30205130 48328208 60410260 120820520 241641040