Search a number
-
+
247830240 = 25357241257
BaseRepresentation
bin11101100010110…
…01011011100000
3122021100002011210
432301121123200
51001421031430
640331510120
76066344100
oct1661313340
9567302153
10247830240
11117991589
126abb8340
133c462c18
1424cb3200
1516b562b0
hexec596e0

247830240 has 288 divisors, whose sum is σ = 933889824. Its totient is φ = 55050240.

The previous prime is 247830223. The next prime is 247830269. The reversal of 247830240 is 42038742.

247830240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2478302402 = 122839655716915200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 247830198 and 247830207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 964192 + ... + 964448.

It is an arithmetic number, because the mean of its divisors is an integer number (3242673).

Almost surely, 2247830240 is an apocalyptic number.

247830240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 247830240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466944912).

247830240 is an abundant number, since it is smaller than the sum of its proper divisors (686059584).

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

247830240 is a wasteful number, since it uses less digits than its factorization.

247830240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 247830240 is about 15742.6249399520. The cubic root of 247830240 is about 628.1327427080.

Adding to 247830240 its reverse (42038742), we get a palindrome (289868982).

The spelling of 247830240 in words is "two hundred forty-seven million, eight hundred thirty thousand, two hundred forty".