Search a number
-
+
9786040320 = 21335731367
BaseRepresentation
bin10010001110100101…
…10010000000000000
3221021000011100121210
421013102302000000
5130020211242240
64255020450120
7464335653540
oct110722620000
927230140553
109786040320
114171a67a31
121a913a9940
13bcc586204
1468b989320
153c41e7780
hex2474b2000

9786040320 has 448 divisors, whose sum is σ = 37041831936. Its totient is φ = 2158755840.

The previous prime is 9786040273. The next prime is 9786040321. The reversal of 9786040320 is 230406879.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (9786040321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26664777 + ... + 26665143.

Almost surely, 29786040320 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 9786040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18520915968).

9786040320 is an abundant number, since it is smaller than the sum of its proper divisors (27255791616).

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

9786040320 is a wasteful number, since it uses less digits than its factorization.

9786040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 9786040320 is about 98924.4172082909. The cubic root of 9786040320 is about 2138.9583774110.

The spelling of 9786040320 in words is "nine billion, seven hundred eighty-six million, forty thousand, three hundred twenty".