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20557712 = 247312191
BaseRepresentation
bin100111001101…
…0111110010000
31102200102212202
41032122332100
520230321322
62012342332
7336511010
oct116327620
942612782
1020557712
111067134a
126a749a8
13434a236
142a31c40
151c11292
hex139af90

20557712 has 60 divisors (see below), whose sum is σ = 47282688. Its totient is φ = 8481600.

The previous prime is 20557711. The next prime is 20557721. The reversal of 20557712 is 21775502.

It is not an unprimeable number, because it can be changed into a prime (20557711) 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 11 ways as a sum of consecutive naturals, for example, 107537 + ... + 107727.

Almost surely, 220557712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20557712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23641344).

20557712 is an abundant number, since it is smaller than the sum of its proper divisors (26724976).

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

20557712 is a wasteful number, since it uses less digits than its factorization.

20557712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 29.

The square root of 20557712 is about 4534.0613140980. The cubic root of 20557712 is about 273.9417710636.

The spelling of 20557712 in words is "twenty million, five hundred fifty-seven thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 191 217 248 382 434 496 764 868 961 1337 1528 1736 1922 2674 3056 3472 3844 5348 5921 6727 7688 10696 11842 13454 15376 21392 23684 26908 41447 47368 53816 82894 94736 107632 165788 183551 331576 367102 663152 734204 1284857 1468408 2569714 2936816 5139428 10278856 20557712