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5091840 = 293251317
BaseRepresentation
bin10011011011001000000000
3100120200200200
4103123020000
52300414330
6301045200
761165005
oct23331000
910520620
105091840
112968636
121856800
131093830
149678ac
156a8a60
hex4db200

5091840 has 240 divisors, whose sum is σ = 20108088. Its totient is φ = 1179648.

The previous prime is 5091833. The next prime is 5091841. The reversal of 5091840 is 481905.

It can be written as a sum of positive squares in 4 ways, for example, as 3873024 + 1218816 = 1968^2 + 1104^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (5091841) 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, 299512 + ... + 299528.

Almost surely, 25091840 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 5091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10054044).

5091840 is an abundant number, since it is smaller than the sum of its proper divisors (15016248).

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

5091840 is a wasteful number, since it uses less digits than its factorization.

5091840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5091840 is about 2256.5105805203. The cubic root of 5091840 is about 172.0382103679.

The spelling of 5091840 in words is "five million, ninety-one thousand, eight hundred forty".