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991082142 = 234191492161
BaseRepresentation
bin111011000100101…
…011011010011110
32120001220012010000
4323010223122132
54012204112032
6242202155130
733363026211
oct7304533236
92501805100
10991082142
11469492756
12237ab2aa6
1312a43704b
14958a9778
155c01de7c
hex3b12b69e

991082142 has 80 divisors (see below), whose sum is σ = 2354418000. Its totient is φ = 310728960.

The previous prime is 991082137. The next prime is 991082143. The reversal of 991082142 is 241280199.

It is a junction number, because it is equal to n+sod(n) for n = 991082097 and 991082106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (991082143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 457542 + ... + 459702.

It is an arithmetic number, because the mean of its divisors is an integer number (29430225).

Almost surely, 2991082142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 991082142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177209000).

991082142 is an abundant number, since it is smaller than the sum of its proper divisors (1363335858).

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

991082142 is a wasteful number, since it uses less digits than its factorization.

991082142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 991082142 is about 31481.4571136725. The cubic root of 991082142 is about 997.0185001599.

The spelling of 991082142 in words is "nine hundred ninety-one million, eighty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 149 162 171 298 342 447 513 894 1026 1341 1539 2161 2682 2831 3078 4023 4322 5662 6483 8046 8493 12069 12966 16986 19449 24138 25479 38898 41059 50958 58347 76437 82118 116694 123177 152874 175041 229311 246354 321989 350082 369531 458622 643978 739062 965967 1108593 1931934 2217186 2897901 3325779 5795802 6117791 6651558 8693703 12235582 17387406 18353373 26081109 36706746 52162218 55060119 110120238 165180357 330360714 495541071 991082142