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5287680000 = 211355417
BaseRepresentation
bin1001110110010101…
…11001100000000000
3111122111200222100000
410323022321200000
541312121230000
62232405200000
7245014352451
oct47312714000
914574628300
105287680000
112273837279
121036a00000
13663634b45
14382389128
1520e330000
hex13b2b9800

5287680000 has 720 divisors, whose sum is σ = 20954573640. Its totient is φ = 1327104000.

The previous prime is 5287679987. The next prime is 5287680001. The reversal of 5287680000 is 867825.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5287680001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 311039992 + ... + 311040008.

Almost surely, 25287680000 is an apocalyptic number.

5287680000 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 5287680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10477286820).

5287680000 is an abundant number, since it is smaller than the sum of its proper divisors (15666893640).

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

5287680000 is an frugal number, since it uses more digits than its factorization.

5287680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5287680000 is about 72716.4355562070. The cubic root of 5287680000 is about 1742.1614043897.

The spelling of 5287680000 in words is "five billion, two hundred eighty-seven million, six hundred eighty thousand".