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20728008 = 2333713709
BaseRepresentation
bin100111100010…
…0100011001000
31110000002111000
41033010203020
520301244013
62020135000
7341120340
oct117044310
943002430
1020728008
1110778294
126b37460
1343a98c2
142a77d20
151c46973
hex13c48c8

20728008 has 64 divisors (see below), whose sum is σ = 65808000. Its totient is φ = 5921856.

The previous prime is 20727989. The next prime is 20728009. The reversal of 20728008 is 80082702.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20728009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5343 + ... + 8366.

It is an arithmetic number, because the mean of its divisors is an integer number (1028250).

Almost surely, 220728008 is an apocalyptic number.

20728008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20728008 is an abundant number, since it is smaller than the sum of its proper divisors (45079992).

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

20728008 is a wasteful number, since it uses less digits than its factorization.

20728008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13731 (or 13721 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 20728008 is about 4552.8022140216. The cubic root of 20728008 is about 274.6961183215.

The spelling of 20728008 in words is "twenty million, seven hundred twenty-eight thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 13709 27418 41127 54836 82254 95963 109672 123381 164508 191926 246762 287889 329016 370143 383852 493524 575778 740286 767704 863667 987048 1151556 1480572 1727334 2303112 2591001 2961144 3454668 5182002 6909336 10364004 20728008