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5327280000 = 27325472151
BaseRepresentation
bin1001111011000011…
…11101011110000000
3111202021012212022200
410331201331132000
541402240430000
62240342033200
7246005063400
oct47541753600
914667185280
105327280000
112294124349
121048118800
1366b8bb5b3
14387736800
15212a53500
hex13d87d780

5327280000 has 720 divisors, whose sum is σ = 22431225960. Its totient is φ = 1209600000.

The previous prime is 5327279989. The next prime is 5327280029. The reversal of 5327280000 is 827235.

It is a tau number, because it is divible by the number of its divisors (720).

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 89 ways as a sum of consecutive naturals, for example, 35279925 + ... + 35280075.

Almost surely, 25327280000 is an apocalyptic number.

5327280000 is a gapful number since it is divisible by the number (50) 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 5327280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11215612980).

5327280000 is an abundant number, since it is smaller than the sum of its proper divisors (17103945960).

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

5327280000 is a wasteful number, since it uses less digits than its factorization.

5327280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5327280000 is about 72988.2182273276. The cubic root of 5327280000 is about 1746.4996700146.

The spelling of 5327280000 in words is "five billion, three hundred twenty-seven million, two hundred eighty thousand".