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728663004 = 223220240639
BaseRepresentation
bin101011011011101…
…000001111011100
31212210002220201200
4223123220033130
52443014204004
6200145435500
724025350636
oct5333501734
91783086650
10728663004
11344347333
1218403bb90
13b7c66954
146cab9a56
1543e85239
hex2b6e83dc

728663004 has 18 divisors (see below), whose sum is σ = 1841898240. Its totient is φ = 242887656.

The previous prime is 728662973. The next prime is 728663017. The reversal of 728663004 is 400366827.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 20240639 = 728663004 / (7 + 2 + 8 + 6 + 6 + 3 + 0 + 0 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 728663004.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 10120284 + ... + 10120355.

It is an arithmetic number, because the mean of its divisors is an integer number (102327680).

Almost surely, 2728663004 is an apocalyptic number.

It is an amenable number.

728663004 is an abundant number, since it is smaller than the sum of its proper divisors (1113235236).

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

728663004 is a wasteful number, since it uses less digits than its factorization.

728663004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20240649 (or 20240644 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 728663004 is about 26993.7586119458. The cubic root of 728663004 is about 899.8612971435.

The spelling of 728663004 in words is "seven hundred twenty-eight million, six hundred sixty-three thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 20240639 40481278 60721917 80962556 121443834 182165751 242887668 364331502 728663004