Search a number
-
+
260393606640 = 24325598097577
BaseRepresentation
bin1111001010000010101…
…0110001110111110000
3220220010021111210001100
43302200222301313300
513231241230403030
6315342334404400
724545540064636
oct3624052616760
9826107453040
10260393606640
11a0483447802
1242571360700
131b72a48c8ab
14c862d53356
156b90526360
hex3ca0ab1df0

260393606640 has 240 divisors, whose sum is σ = 890527154400. Its totient is φ = 68167999488.

The previous prime is 260393606569. The next prime is 260393606651. The reversal of 260393606640 is 46606393062.

It is a happy number.

260393606640 is a `hidden beast` number, since 2 + 6 + 0 + 39 + 3 + 606 + 6 + 4 + 0 = 666.

260393606640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34362532 + ... + 34370108.

It is an arithmetic number, because the mean of its divisors is an integer number (3710529810).

Almost surely, 2260393606640 is an apocalyptic number.

260393606640 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 260393606640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445263577200).

260393606640 is an abundant number, since it is smaller than the sum of its proper divisors (630133547760).

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

260393606640 is a wasteful number, since it uses less digits than its factorization.

260393606640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8464 (or 8455 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 260393606640 in words is "two hundred sixty billion, three hundred ninety-three million, six hundred six thousand, six hundred forty".