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5287680 = 2835517
BaseRepresentation
bin10100001010111100000000
3100221122100000
4110022330000
52323201210
6305200000
762641656
oct24127400
910848300
105287680
112a91792
121930000
131131a08
149b8dd6
156e6ac0
hex50af00

5287680 has 216 divisors, whose sum is σ = 20088432. Its totient is φ = 1327104.

The previous prime is 5287679. The next prime is 5287687. The reversal of 5287680 is 867825.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5287687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311032 + ... + 311048.

It is an arithmetic number, because the mean of its divisors is an integer number (93002).

Almost surely, 25287680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10044216).

5287680 is an abundant number, since it is smaller than the sum of its proper divisors (14800752).

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

5287680 is an equidigital number, since it uses as much as digits as its factorization.

5287680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 27 counting only the distinct ones).

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

The square root of 5287680 is about 2299.4955968647. The cubic root of 5287680 is about 174.2161404390.

The spelling of 5287680 in words is "five million, two hundred eighty-seven thousand, six hundred eighty".