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996240960 = 2632511134159
BaseRepresentation
bin111011011000010…
…110111001000000
32120102121021200100
4323120112321000
54020014202320
6242504522400
733454623411
oct7330267100
92512537610
10996240960
11471396640
12239780400
1312b5221c0
149644d808
155c6dc790
hex3b616e40

996240960 has 672 divisors, whose sum is σ = 4193804160. Its totient is φ = 213811200.

The previous prime is 996240937. The next prime is 996240989. The reversal of 996240960 is 69042699.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16885411 + ... + 16885469.

It is an arithmetic number, because the mean of its divisors is an integer number (6240780).

Almost surely, 2996240960 is an apocalyptic number.

996240960 is a gapful number since it is divisible by the number (90) 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 996240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096902080).

996240960 is an abundant number, since it is smaller than the sum of its proper divisors (3197563200).

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

996240960 is a wasteful number, since it uses less digits than its factorization.

996240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 996240960 is about 31563.2850001390. The cubic root of 996240960 is about 998.7454133372.

The spelling of 996240960 in words is "nine hundred ninety-six million, two hundred forty thousand, nine hundred sixty".