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20505330 = 2325415557
BaseRepresentation
bin100111000111…
…0001011110010
31102120210000200
41032032023302
520222132310
62011300030
7336202206
oct116161362
942523020
1020505330
1110635a5a
126a4a616
13432c441
142a1ab06
151c009c0
hex138e2f2

20505330 has 48 divisors (see below), whose sum is σ = 54624024. Its totient is φ = 5333760.

The previous prime is 20505307. The next prime is 20505341. The reversal of 20505330 is 3350502.

It can be written as a sum of positive squares in 4 ways, for example, as 16232841 + 4272489 = 4029^2 + 2067^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 912 + ... + 6468.

Almost surely, 220505330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20505330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27312012).

20505330 is an abundant number, since it is smaller than the sum of its proper divisors (34118694).

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

20505330 is a wasteful number, since it uses less digits than its factorization.

20505330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5611 (or 5608 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 20505330 is about 4528.2811308487. The cubic root of 20505330 is about 273.7089010671.

Adding to 20505330 its reverse (3350502), we get a palindrome (23855832).

The spelling of 20505330 in words is "twenty million, five hundred five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 5557 11114 16671 27785 33342 50013 55570 83355 100026 166710 227837 250065 455674 500130 683511 1139185 1367022 2050533 2278370 3417555 4101066 6835110 10252665 20505330