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20513033 = 172322281
BaseRepresentation
bin100111001000…
…0000100001001
31102121011120222
41032100010021
520222404113
62011355425
7336233522
oct116200411
942534528
1020513033
1110640822
126a52b75
134332ab8
142a1d849
151c02e08
hex1390109

20513033 has 12 divisors (see below), whose sum is σ = 22715028. Its totient is φ = 18458880.

The previous prime is 20513029. The next prime is 20513039. The reversal of 20513033 is 33031502.

It can be written as a sum of positive squares in 2 ways, for example, as 14227984 + 6285049 = 3772^2 + 2507^2 .

It is not a de Polignac number, because 20513033 - 22 = 20513029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20513039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7853 + ... + 10133.

It is an arithmetic number, because the mean of its divisors is an integer number (1892919).

Almost surely, 220513033 is an apocalyptic number.

20513033 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

20513033 is a deficient number, since it is larger than the sum of its proper divisors (2201995).

20513033 is a wasteful number, since it uses less digits than its factorization.

20513033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 17.

The square root of 20513033 is about 4529.1315944671. The cubic root of 20513033 is about 273.7431704613.

Adding to 20513033 its reverse (33031502), we get a palindrome (53544535).

The spelling of 20513033 in words is "twenty million, five hundred thirteen thousand, thirty-three".

Divisors: 1 17 23 391 529 2281 8993 38777 52463 891871 1206649 20513033