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240585073 = 2953157997
BaseRepresentation
bin11100101011100…
…00100101110001
3121202200222200021
432111300211301
5443042210243
635512323441
75650640131
oct1625604561
9552628607
10240585073
11113893143
12686a3581
133aac7241
1423d48ac1
15161c46ed
hexe570971

240585073 has 16 divisors (see below), whose sum is σ = 255448080. Its totient is φ = 226227456.

The previous prime is 240585047. The next prime is 240585077. The reversal of 240585073 is 370585042.

It is a happy number.

240585073 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 8 ways, for example, as 11607649 + 228977424 = 3407^2 + 15132^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-240585073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (240585077) 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, 240811 + ... + 241807.

It is an arithmetic number, because the mean of its divisors is an integer number (15965505).

Almost surely, 2240585073 is an apocalyptic number.

It is an amenable number.

240585073 is a deficient number, since it is larger than the sum of its proper divisors (14863007).

240585073 is a wasteful number, since it uses less digits than its factorization.

240585073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236.

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 240585073 is about 15510.8050403582. The cubic root of 240585073 is about 621.9510796814.

It can be divided in two parts, 2405 and 85073, that added together give a palindrome (87478).

The spelling of 240585073 in words is "two hundred forty million, five hundred eighty-five thousand, seventy-three".

Divisors: 1 29 53 157 997 1537 4553 8321 28913 52841 156529 241309 1532389 4539341 8296037 240585073