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20505740 = 22517411471
BaseRepresentation
bin100111000111…
…0010010001100
31102120210120212
41032032102030
520222140430
62011301552
7336203333
oct116162214
942523525
1020505740
11106362a2
126a4a8b8
13432c698
142a1ad1a
151c00b95
hex138e48c

20505740 has 48 divisors (see below), whose sum is σ = 46738944. Its totient is φ = 7526400.

The previous prime is 20505713. The next prime is 20505761. The reversal of 20505740 is 4750502.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13205 + ... + 14675.

It is an arithmetic number, because the mean of its divisors is an integer number (973728).

Almost surely, 220505740 is an apocalyptic number.

20505740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20505740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23369472).

20505740 is an abundant number, since it is smaller than the sum of its proper divisors (26233204).

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

20505740 is a wasteful number, since it uses less digits than its factorization.

20505740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 23.

The square root of 20505740 is about 4528.3264016632. The cubic root of 20505740 is about 273.7107253067.

The spelling of 20505740 in words is "twenty million, five hundred five thousand, seven hundred forty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 340 410 697 820 1394 1471 2788 2942 3485 5884 6970 7355 13940 14710 25007 29420 50014 60311 100028 120622 125035 241244 250070 301555 500140 603110 1025287 1206220 2050574 4101148 5126435 10252870 20505740