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996896960 = 2654175983
BaseRepresentation
bin111011011010110…
…111000011000000
32120110211121112122
4323122313003000
54020201200320
6242530543412
733463325063
oct7332670300
92513747478
10996896960
114717a4494
12239a37b68
1312b6c1977
14965808da
155c7bbd25
hex3b6b70c0

996896960 has 56 divisors (see below), whose sum is σ = 2431791936. Its totient is φ = 389027840.

The previous prime is 996896947. The next prime is 996896969. The reversal of 996896960 is 69698699.

It is a happy number.

996896960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 996896893 and 996896902.

It is not an unprimeable number, because it can be changed into a prime (996896969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24872 + ... + 51111.

It is an arithmetic number, because the mean of its divisors is an integer number (43424856).

Almost surely, 2996896960 is an apocalyptic number.

It is an amenable number.

996896960 is an abundant number, since it is smaller than the sum of its proper divisors (1434894976).

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

996896960 is a wasteful number, since it uses less digits than its factorization.

996896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76041 (or 76031 counting only the distinct ones).

The product of its (nonzero) digits is 11337408, while the sum is 62.

The square root of 996896960 is about 31573.6751107628. The cubic root of 996896960 is about 998.9645816121.

The spelling of 996896960 in words is "nine hundred ninety-six million, eight hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 656 820 1312 1640 2624 3280 6560 13120 75983 151966 303932 379915 607864 759830 1215728 1519660 2431456 3039320 3115303 4862912 6078640 6230606 12157280 12461212 15576515 24314560 24922424 31153030 49844848 62306060 99689696 124612120 199379392 249224240 498448480 996896960