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17728965 = 325393977
BaseRepresentation
bin100001110100…
…0010111000101
31020100201120100
41003220113011
514014311330
61431554313
7303456642
oct103502705
936321510
1017728965
11a00a041
125b2b999
133899817
1424d6dc9
151853060
hex10e85c5

17728965 has 12 divisors (see below), whose sum is σ = 30730284. Its totient is φ = 9455424.

The previous prime is 17728939. The next prime is 17728967. The reversal of 17728965 is 56982771.

It can be written as a sum of positive squares in 2 ways, for example, as 11573604 + 6155361 = 3402^2 + 2481^2 .

It is not a de Polignac number, because 17728965 - 28 = 17728709 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 393977 = 17728965 / (1 + 7 + 7 + 2 + 8 + 9 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 17728965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17728967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196944 + ... + 197033.

It is an arithmetic number, because the mean of its divisors is an integer number (2560857).

Almost surely, 217728965 is an apocalyptic number.

17728965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

17728965 is a deficient number, since it is larger than the sum of its proper divisors (13001319).

17728965 is a wasteful number, since it uses less digits than its factorization.

17728965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393988 (or 393985 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 17728965 is about 4210.5777513306. The cubic root of 17728965 is about 260.7520876658.

The spelling of 17728965 in words is "seventeen million, seven hundred twenty-eight thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 45 393977 1181931 1969885 3545793 5909655 17728965