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20536993 is a prime number
BaseRepresentation
bin100111001010…
…1111010100001
31102122101110101
41032111322201
520224140433
62012102401
7336363421
oct116257241
942571411
1020536993
1110657824
126a64a01
134340989
142a28481
151c0a07d
hex1395ea1

20536993 has 2 divisors, whose sum is σ = 20536994. Its totient is φ = 20536992.

The previous prime is 20536951. The next prime is 20537009. The reversal of 20536993 is 39963502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20493729 + 43264 = 4527^2 + 208^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20536993 is a prime.

It is not a weakly prime, because it can be changed into another prime (20536913) 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 as a sum of consecutive naturals, namely, 10268496 + 10268497.

It is an arithmetic number, because the mean of its divisors is an integer number (10268497).

Almost surely, 220536993 is an apocalyptic number.

It is an amenable number.

20536993 is a deficient number, since it is larger than the sum of its proper divisors (1).

20536993 is an equidigital number, since it uses as much as digits as its factorization.

20536993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43740, while the sum is 37.

The square root of 20536993 is about 4531.7759212035. The cubic root of 20536993 is about 273.8497097908.

It can be divided in two parts, 205 and 36993, that multiplied together give a triangular number (7583565 = T3894).

The spelling of 20536993 in words is "twenty million, five hundred thirty-six thousand, nine hundred ninety-three".