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5287431240 = 23325721323057
BaseRepresentation
bin1001110110010011…
…11100110001001000
3111122111020100002200
410323021330301020
541312040244430
62232400000200
7245012265300
oct47311746110
914574210080
105287431240
112273687393
121036900060
13663578850
14382322600
1520e2d1460
hex13b27cc48

5287431240 has 288 divisors, whose sum is σ = 21528332280. Its totient is φ = 1115541504.

The previous prime is 5287431229. The next prime is 5287431241. The reversal of 5287431240 is 421347825.

It is a happy number.

5287431240 is a `hidden beast` number, since 528 + 7 + 4 + 3 + 124 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4589520516 + 697910724 = 67746^2 + 26418^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 5287431195 and 5287431204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5287431241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 217792 + ... + 240848.

Almost surely, 25287431240 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 5287431240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10764166140).

5287431240 is an abundant number, since it is smaller than the sum of its proper divisors (16240901040).

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

5287431240 is a wasteful number, since it uses less digits than its factorization.

5287431240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23101 (or 23087 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5287431240 is about 72714.7250562085. The cubic root of 5287431240 is about 1742.1340838466.

The spelling of 5287431240 in words is "five billion, two hundred eighty-seven million, four hundred thirty-one thousand, two hundred forty".