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4728568720 = 245611396971
BaseRepresentation
bin1000110011101100…
…00011101110010000
3110012112122011211211
410121312003232100
534141003144340
62101113345504
7225115112431
oct43166035620
913175564754
104728568720
112007176737
12abb708294
135a4854475
1432c007488
151ca1dc5ea
hex119d83b90

4728568720 has 80 divisors (see below), whose sum is σ = 11256154560. Its totient is φ = 1846771200.

The previous prime is 4728568693. The next prime is 4728568723. The reversal of 4728568720 is 278658274.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4728568723) 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, 674835 + ... + 681805.

It is an arithmetic number, because the mean of its divisors is an integer number (140701932).

Almost surely, 24728568720 is an apocalyptic number.

4728568720 is a gapful number since it is divisible by the number (40) 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 4728568720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5628077280).

4728568720 is an abundant number, since it is smaller than the sum of its proper divisors (6527585840).

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

4728568720 is a wasteful number, since it uses less digits than its factorization.

4728568720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7184 (or 7178 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 49.

The square root of 4728568720 is about 68764.5891429593. The cubic root of 4728568720 is about 1678.4557711029.

The spelling of 4728568720 in words is "four billion, seven hundred twenty-eight million, five hundred sixty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 139 244 278 305 488 556 610 695 976 1112 1220 1390 2224 2440 2780 4880 5560 6971 8479 11120 13942 16958 27884 33916 34855 42395 55768 67832 69710 84790 111536 135664 139420 169580 278840 339160 425231 557680 678320 850462 968969 1700924 1937938 2126155 3401848 3875876 4252310 4844845 6803696 7751752 8504620 9689690 15503504 17009240 19379380 34018480 38758760 59107109 77517520 118214218 236428436 295535545 472856872 591071090 945713744 1182142180 2364284360 4728568720