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20405151 = 32131710259
BaseRepresentation
bin100110111010…
…1101110011111
31102101200121100
41031311232133
520210431101
62005204143
7335304144
oct115655637
942350540
1020405151
1110577768
126a00653
1342c5970
1429d23cb
151bd0e86
hex1375b9f

20405151 has 24 divisors (see below), whose sum is σ = 33611760. Its totient is φ = 11817216.

The previous prime is 20405141. The next prime is 20405153. The reversal of 20405151 is 15150402.

It is not a de Polignac number, because 20405151 - 210 = 20404127 is a prime.

20405151 is a modest number, since divided by 5151 gives 2040 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20405153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3141 + ... + 7118.

It is an arithmetic number, because the mean of its divisors is an integer number (1400490).

Almost surely, 220405151 is an apocalyptic number.

20405151 is a deficient number, since it is larger than the sum of its proper divisors (13206609).

20405151 is a wasteful number, since it uses less digits than its factorization.

20405151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10295 (or 10292 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 20405151 is about 4517.2061055480. The cubic root of 20405151 is about 273.2624373271.

Adding to 20405151 its reverse (15150402), we get a palindrome (35555553).

The spelling of 20405151 in words is "twenty million, four hundred five thousand, one hundred fifty-one".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 10259 30777 92331 133367 174403 400101 523209 1200303 1569627 2267239 6801717 20405151