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728710020 = 22345449821
BaseRepresentation
bin101011011011110…
…011101110000100
31212210012022020000
4223123303232010
52443022210040
6200150441300
724025635003
oct5333635604
91783168200
10728710020
11344379695
12184063230
13b7c8217c
146caccc3a
1543e94130
hex2b6f3b84

728710020 has 60 divisors (see below), whose sum is σ = 2285995404. Its totient is φ = 194322240.

The previous prime is 728710019. The next prime is 728710027. The reversal of 728710020 is 20017827.

It can be written as a sum of positive squares in 2 ways, for example, as 136469124 + 592240896 = 11682^2 + 24336^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 (728710027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 223291 + ... + 226530.

Almost surely, 2728710020 is an apocalyptic number.

It is an amenable number.

728710020 is an abundant number, since it is smaller than the sum of its proper divisors (1557285384).

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

728710020 is a wasteful number, since it uses less digits than its factorization.

728710020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449842 (or 449831 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 728710020 is about 26994.6294658771. The cubic root of 728710020 is about 899.8806508405.

Adding to 728710020 its reverse (20017827), we get a palindrome (748727847).

The spelling of 728710020 in words is "seven hundred twenty-eight million, seven hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 449821 899642 1349463 1799284 2249105 2698926 4048389 4498210 5397852 6747315 8096778 8996420 12145167 13494630 16193556 20241945 24290334 26989260 36435501 40483890 48580668 60725835 72871002 80967780 121451670 145742004 182177505 242903340 364355010 728710020