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6720800128 = 27717441229
BaseRepresentation
bin1100100001001011…
…10100010110000000
3122100101101000120021
412100211310112000
5102231011101003
63030522023224
7325355600320
oct62045642600
918311330507
106720800128
112939797679
121376947b14
1383150b813
1447a83d280
152950682bd
hex190974580

6720800128 has 64 divisors (see below), whose sum is σ = 16201965600. Its totient is φ = 2710904832.

The previous prime is 6720800071. The next prime is 6720800129. The reversal of 6720800128 is 8210080276.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 6720800093 and 6720800102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6720800129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205383 + ... + 235846.

Almost surely, 26720800128 is an apocalyptic number.

6720800128 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

6720800128 is an abundant number, since it is smaller than the sum of its proper divisors (9481165472).

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

6720800128 is a wasteful number, since it uses less digits than its factorization.

6720800128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441267 (or 441255 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 6720800128 is about 81980.4862635005. The cubic root of 6720800128 is about 1887.1524851671.

The spelling of 6720800128 in words is "six billion, seven hundred twenty million, eight hundred thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 272 448 476 544 896 952 1088 1904 2176 3808 7616 15232 441229 882458 1764916 3088603 3529832 6177206 7059664 7500893 12354412 14119328 15001786 24708824 28238656 30003572 49417648 52506251 56477312 60007144 98835296 105012502 120014288 197670592 210025004 240028576 395341184 420050008 480057152 840100016 960114304 1680200032 3360400064 6720800128