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20783105 = 572412069
BaseRepresentation
bin100111101001…
…0000000000001
31110002220001122
41033102000001
520310024410
62021242025
7341440100
oct117220001
943086048
1020783105
1110805722
126b63315
1343c89c5
142a90037
151c57e55
hex13d2001

20783105 has 24 divisors (see below), whose sum is σ = 29733480. Its totient is φ = 13896960.

The previous prime is 20783089. The next prime is 20783137. The reversal of 20783105 is 50138702.

It can be written as a sum of positive squares in 4 ways, for example, as 461041 + 20322064 = 679^2 + 4508^2 .

It is not a de Polignac number, because 20783105 - 24 = 20783089 is a prime.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9011 + ... + 11079.

It is an arithmetic number, because the mean of its divisors is an integer number (1238895).

It is a Proth number, since it is equal to 2537 ⋅ 213 + 1 and 2537 < 213.

Almost surely, 220783105 is an apocalyptic number.

It is an amenable number.

20783105 is a deficient number, since it is larger than the sum of its proper divisors (8950375).

20783105 is a wasteful number, since it uses less digits than its factorization.

20783105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 20783105 is about 4558.8490872149. The cubic root of 20783105 is about 274.9392923846.

The spelling of 20783105 in words is "twenty million, seven hundred eighty-three thousand, one hundred five".

Divisors: 1 5 7 35 41 49 205 245 287 1435 2009 2069 10045 10345 14483 72415 84829 101381 424145 506905 593803 2969015 4156621 20783105