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9991002 = 2372171999
BaseRepresentation
bin100110000111…
…001101011010
3200210121002010
4212013031122
510024203002
6554050350
7150631200
oct46071532
920717063
109991002
11570442a
1234199b6
1320ba748
141481070
15d2546c
hex98735a

9991002 has 48 divisors (see below), whose sum is σ = 24624000. Its totient is φ = 2685312.

The previous prime is 9990997. The next prime is 9991027. The reversal of 9991002 is 2001999.

9991002 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

9991002 is strictly pandigital in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3999 + ... + 5997.

It is an arithmetic number, because the mean of its divisors is an integer number (513000).

Almost surely, 29991002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9991002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12312000).

9991002 is an abundant number, since it is smaller than the sum of its proper divisors (14632998).

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

9991002 is a wasteful number, since it uses less digits than its factorization.

9991002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 30.

The square root of 9991002 is about 3160.8546312667. The cubic root of 9991002 is about 215.3788309344.

The spelling of 9991002 in words is "nine million, nine hundred ninety-one thousand, two".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 238 294 357 714 833 1666 1999 2499 3998 4998 5997 11994 13993 27986 33983 41979 67966 83958 97951 101949 195902 203898 237881 293853 475762 587706 713643 1427286 1665167 3330334 4995501 9991002