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20240753 = 1329531013
BaseRepresentation
bin100110100110…
…1100101110001
31102002100002112
41031031211301
520140201003
62001455105
7334020641
oct115154561
942070075
1020240753
11104751a5
126941495
134268ba0
14298c521
151b9c3d8
hex134d971

20240753 has 16 divisors (see below), whose sum is σ = 22997520. Its totient is φ = 17681664.

The previous prime is 20240749. The next prime is 20240777. The reversal of 20240753 is 35704202.

It can be written as a sum of positive squares in 8 ways, for example, as 3659569 + 16581184 = 1913^2 + 4072^2 .

It is not a de Polignac number, because 20240753 - 22 = 20240749 is a prime.

It is a super-3 number, since 3×202407533 (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20240723) 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 15 ways as a sum of consecutive naturals, for example, 19475 + ... + 20487.

It is an arithmetic number, because the mean of its divisors is an integer number (1437345).

Almost surely, 220240753 is an apocalyptic number.

It is an amenable number.

20240753 is a deficient number, since it is larger than the sum of its proper divisors (2756767).

20240753 is a wasteful number, since it uses less digits than its factorization.

20240753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108.

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 20240753 is about 4498.9724382352. The cubic root of 20240753 is about 272.5265939312.

Adding to 20240753 its reverse (35704202), we get a palindrome (55944955).

The spelling of 20240753 in words is "twenty million, two hundred forty thousand, seven hundred fifty-three".

Divisors: 1 13 29 53 377 689 1013 1537 13169 19981 29377 53689 381901 697957 1556981 20240753