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992109120 = 263517313753
BaseRepresentation
bin111011001000100…
…110001001000000
32120010211100212020
4323020212021000
54012434442440
6242240201440
733404534262
oct7310461100
92503740766
10992109120
1146a0242a2
12238309280
1312a706622
1495a95b32
155c1733d0
hex3b226240

992109120 has 448 divisors, whose sum is σ = 3602589696. Its totient is φ = 230031360.

The previous prime is 992109047. The next prime is 992109143. The reversal of 992109120 is 21901299.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18719014 + ... + 18719066.

Almost surely, 2992109120 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 992109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801294848).

992109120 is an abundant number, since it is smaller than the sum of its proper divisors (2610480576).

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

992109120 is a wasteful number, since it uses less digits than its factorization.

992109120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The square root of 992109120 is about 31497.7637301444. The cubic root of 992109120 is about 997.3627577339.

The spelling of 992109120 in words is "nine hundred ninety-two million, one hundred nine thousand, one hundred twenty".