Search a number
-
+
996782080 = 2125717409
BaseRepresentation
bin111011011010011…
…011000000000000
32120110121202221211
4323122123000000
54020134011310
6242524255504
733462336130
oct7332330000
92513552854
10996782080
11471726148
122399a1594
1312b6815a8
1496550ac0
155c797c8a
hex3b69b000

996782080 has 208 divisors, whose sum is σ = 2901579840. Its totient is φ = 320864256.

The previous prime is 996782071. The next prime is 996782081. The reversal of 996782080 is 80287699.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (996782081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2436916 + ... + 2437324.

Almost surely, 2996782080 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 996782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450789920).

996782080 is an abundant number, since it is smaller than the sum of its proper divisors (1904797760).

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

996782080 is a wasteful number, since it uses less digits than its factorization.

996782080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The square root of 996782080 is about 31571.8558212849. The cubic root of 996782080 is about 998.9262073821.

The spelling of 996782080 in words is "nine hundred ninety-six million, seven hundred eighty-two thousand, eighty".