Search a number
-
+
260226875232 = 25341941912611
BaseRepresentation
bin1111001001011010111…
…0101111111101100000
3220212200122202221120000
43302112232233331200
513230421040001412
6315314021020000
724541443641352
oct3622656577540
9825618687500
10260226875232
11a03a8317a55
1242525554600
131b701a8325c
14c848b510d2
156b80a8e4dc
hex3c96baff60

260226875232 has 240 divisors, whose sum is σ = 807586718400. Its totient is φ = 81974280960.

The previous prime is 260226875201. The next prime is 260226875257. The reversal of 260226875232 is 232578622062.

It is a happy number.

260226875232 is a `hidden beast` number, since 2 + 60 + 2 + 2 + 68 + 7 + 523 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20628607 + ... + 20641217.

It is an arithmetic number, because the mean of its divisors is an integer number (3364944660).

Almost surely, 2260226875232 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 260226875232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403793359200).

260226875232 is an abundant number, since it is smaller than the sum of its proper divisors (547359843168).

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

260226875232 is a wasteful number, since it uses less digits than its factorization.

260226875232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13071 (or 13054 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 260226875232 in words is "two hundred sixty billion, two hundred twenty-six million, eight hundred seventy-five thousand, two hundred thirty-two".