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20417960 = 235510449
BaseRepresentation
bin100110111100…
…0110110101000
31102102100011202
41031320312220
520211333320
62005343332
7335356403
oct115706650
942370152
1020417960
1110586352
126a07b48
1342cb744
1429d6d3a
151bd4b75
hex1378da8

20417960 has 16 divisors (see below), whose sum is σ = 45940500. Its totient is φ = 8167168.

The previous prime is 20417939. The next prime is 20417963. The reversal of 20417960 is 6971402.

It can be written as a sum of positive squares in 2 ways, for example, as 20124196 + 293764 = 4486^2 + 542^2 .

It is not an unprimeable number, because it can be changed into a prime (20417963) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 255185 + ... + 255264.

Almost surely, 220417960 is an apocalyptic number.

20417960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20417960 is an abundant number, since it is smaller than the sum of its proper divisors (25522540).

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

20417960 is a wasteful number, since it uses less digits than its factorization.

20417960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510460 (or 510456 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 20417960 is about 4518.6236842649. The cubic root of 20417960 is about 273.3196040430.

It can be divided in two parts, 2041 and 7960, that added together give a palindrome (10001).

The spelling of 20417960 in words is "twenty million, four hundred seventeen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 510449 1020898 2041796 2552245 4083592 5104490 10208980 20417960