Search a number
-
+
5319210240 = 2832517157173
BaseRepresentation
bin1001111010000110…
…01011010100000000
3111201201000212200200
410331003023110000
541343204211430
62235453045200
7245546353401
oct47503132400
914651025620
105319210240
11228a612423
121045486800
1366a0244a6
143866359a8
15211eac460
hex13d0cb500

5319210240 has 432 divisors, whose sum is σ = 19723970448. Its totient is φ = 1318846464.

The previous prime is 5319210233. The next prime is 5319210271. The reversal of 5319210240 is 420129135.

5319210240 is a `hidden beast` number, since 531 + 92 + 1 + 0 + 2 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 231526656 + 5087683584 = 15216^2 + 71328^2 .

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 30746794 + ... + 30746966.

It is an arithmetic number, because the mean of its divisors is an integer number (45657339).

Almost surely, 25319210240 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 5319210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9861985224).

5319210240 is an abundant number, since it is smaller than the sum of its proper divisors (14404760208).

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

5319210240 is a wasteful number, since it uses less digits than its factorization.

5319210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5319210240 is about 72932.9160256190. The cubic root of 5319210240 is about 1745.6173588656.

Adding to 5319210240 its reverse (420129135), we get a palindrome (5739339375).

The spelling of 5319210240 in words is "five billion, three hundred nineteen million, two hundred ten thousand, two hundred forty".