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1996128960 = 263571392137
BaseRepresentation
bin111011011111010…
…1000001011000000
312011010001212011020
41312332220023000
513042002111320
6530023545440
7100315546650
oct16676501300
95133055136
101996128960
11934843261
124785bb280
1325a7203c7
1414d16c360
15ba39a940
hex76fa82c0

1996128960 has 224 divisors, whose sum is σ = 7298618880. Its totient is φ = 452763648.

The previous prime is 1996128943. The next prime is 1996129019. The reversal of 1996128960 is 698216991.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 933012 + ... + 935148.

It is an arithmetic number, because the mean of its divisors is an integer number (32583120).

Almost surely, 21996128960 is an apocalyptic number.

1996128960 is a gapful number since it is divisible by the number (10) 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 1996128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3649309440).

1996128960 is an abundant number, since it is smaller than the sum of its proper divisors (5302489920).

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

1996128960 is a wasteful number, since it uses less digits than its factorization.

1996128960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 51.

The square root of 1996128960 is about 44678.0590446810. The cubic root of 1996128960 is about 1259.1076574263.

The spelling of 1996128960 in words is "one billion, nine hundred ninety-six million, one hundred twenty-eight thousand, nine hundred sixty".