Search a number
-
+
996536320 = 21251319197
BaseRepresentation
bin111011011001011…
…111000000000000
32120110011021211121
4323121133000000
54020103130240
6242515122024
733460263463
oct7331370000
92513137747
10996536320
1147157853a
122398a3314
1312b5c6780
14964c92da
155c74a04a
hex3b65f000

996536320 has 208 divisors, whose sum is σ = 2724654240. Its totient is φ = 346816512.

The previous prime is 996536279. The next prime is 996536353. The reversal of 996536320 is 23635699.

It is a tau number, because it is divible by the number of its divisors (208).

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 15 ways as a sum of consecutive naturals, for example, 5058462 + ... + 5058658.

Almost surely, 2996536320 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 996536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362327120).

996536320 is an abundant number, since it is smaller than the sum of its proper divisors (1728117920).

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

996536320 is a wasteful number, since it uses less digits than its factorization.

996536320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 43.

The square root of 996536320 is about 31567.9635073281. The cubic root of 996536320 is about 998.8441044202.

The spelling of 996536320 in words is "nine hundred ninety-six million, five hundred thirty-six thousand, three hundred twenty".