Base | Representation |
---|---|
bin | 101001111100… |
… | …110100000000 |
3 | 202200201001000 |
4 | 221330310000 |
5 | 10303400432 |
6 | 1031412000 |
7 | 162321126 |
oct | 51746400 |
9 | 22621030 |
10 | 10996992 |
11 | 6231226 |
12 | 3824000 |
13 | 23805c6 |
14 | 1663916 |
15 | e7357c |
hex | a7cd00 |
10996992 has 144 divisors (see below), whose sum is σ = 34175680. Its totient is φ = 3483648.
The previous prime is 10996969. The next prime is 10997039. The reversal of 10996992 is 29969901.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (144).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255723 + ... + 255765.
Almost surely, 210996992 is an apocalyptic number.
10996992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10996992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17087840).
10996992 is an abundant number, since it is smaller than the sum of its proper divisors (23178688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10996992 is an equidigital number, since it uses as much as digits as its factorization.
10996992 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 105 (or 85 counting only the distinct ones).
The product of its (nonzero) digits is 78732, while the sum is 45.
The square root of 10996992 is about 3316.1712862878. The cubic root of 10996992 is about 222.3777352933.
The spelling of 10996992 in words is "ten million, nine hundred ninety-six thousand, nine hundred ninety-two".
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