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19728060 = 22351171421
BaseRepresentation
bin100101101000…
…0011010111100
31101010021210220
41023100122330
520022244220
61542501340
7326454132
oct113203274
941107726
1019728060
1110154a90
126734850
134119711
142897752
151aea540
hex12d06bc

19728060 has 96 divisors (see below), whose sum is σ = 61254144. Its totient is φ = 4704000.

The previous prime is 19728017. The next prime is 19728073. The reversal of 19728060 is 6082791.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46650 + ... + 47070.

It is an arithmetic number, because the mean of its divisors is an integer number (638064).

Almost surely, 219728060 is an apocalyptic number.

19728060 is a gapful number since it is divisible by the number (10) 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 19728060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30627072).

19728060 is an abundant number, since it is smaller than the sum of its proper divisors (41526084).

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

19728060 is a wasteful number, since it uses less digits than its factorization.

19728060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 19728060 is about 4441.6280798824. The cubic root of 19728060 is about 270.2058786402.

The spelling of 19728060 in words is "nineteen million, seven hundred twenty-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 71 110 132 142 165 213 220 284 330 355 421 426 660 710 781 842 852 1065 1263 1420 1562 1684 2105 2130 2343 2526 3124 3905 4210 4260 4631 4686 5052 6315 7810 8420 9262 9372 11715 12630 13893 15620 18524 23155 23430 25260 27786 29891 46310 46860 55572 59782 69465 89673 92620 119564 138930 149455 179346 277860 298910 328801 358692 448365 597820 657602 896730 986403 1315204 1644005 1793460 1972806 3288010 3945612 4932015 6576020 9864030 19728060