Base | Representation |
---|---|
bin | 101001111111… |
… | …010000000110 |
3 | 202201012202000 |
4 | 221333100012 |
5 | 10304210412 |
6 | 1031530130 |
7 | 162362220 |
oct | 51772006 |
9 | 22635660 |
10 | 11006982 |
11 | 6238788 |
12 | 3829946 |
13 | 238500c |
14 | 1667410 |
15 | e764dc |
hex | a7f406 |
11006982 has 64 divisors (see below), whose sum is σ = 28746240. Its totient is φ = 3055968.
The previous prime is 11006971. The next prime is 11006999. The reversal of 11006982 is 28960011.
11006982 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
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, 13593 + ... + 14379.
It is an arithmetic number, because the mean of its divisors is an integer number (449160).
Almost surely, 211006982 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 11006982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14373120).
11006982 is an abundant number, since it is smaller than the sum of its proper divisors (17739258).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11006982 is a wasteful number, since it uses less digits than its factorization.
11006982 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 842 (or 836 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 27.
The square root of 11006982 is about 3317.6771994876. The cubic root of 11006982 is about 222.4450531322.
Adding to 11006982 its reverse (28960011), we get a palindrome (39966993).
The spelling of 11006982 in words is "eleven million, six thousand, nine hundred eighty-two".
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