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5307840 = 263251997
BaseRepresentation
bin10100001111110111000000
3100222122222200
4110033313000
52324322330
6305433200
763054516
oct24176700
910878880
105307840
112aa594a
12193b800
13113ac45
149c24b6
156eca60
hex50fdc0

5307840 has 168 divisors, whose sum is σ = 19415760. Its totient is φ = 1327104.

The previous prime is 5307839. The next prime is 5307847. The reversal of 5307840 is 487035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5307847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54672 + ... + 54768.

It is an arithmetic number, because the mean of its divisors is an integer number (115570).

Almost surely, 25307840 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 5307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9707880).

5307840 is an abundant number, since it is smaller than the sum of its proper divisors (14107920).

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

5307840 is a wasteful number, since it uses less digits than its factorization.

5307840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 126 counting only the distinct ones).

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

The square root of 5307840 is about 2303.8749966090. The cubic root of 5307840 is about 174.4372672372.

The spelling of 5307840 in words is "five million, three hundred seven thousand, eight hundred forty".