Base | Representation |
---|---|
bin | 100010100010010110000 |
3 | 2010111101200 |
4 | 10110102300 |
5 | 242203241 |
6 | 40131200 |
7 | 12422256 |
oct | 4242260 |
9 | 2114350 |
10 | 1131696 |
11 | 703295 |
12 | 466b00 |
13 | 308157 |
14 | 2165d6 |
15 | 1754b6 |
hex | 1144b0 |
1131696 has 60 divisors (see below), whose sum is σ = 3288480. Its totient is φ = 362880.
The previous prime is 1131677. The next prime is 1131701. The reversal of 1131696 is 6961311.
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4041 + ... + 4311.
It is an arithmetic number, because the mean of its divisors is an integer number (54808).
21131696 is an apocalyptic number.
1131696 is a gapful number since it is divisible by the number (16) 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 1131696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644240).
1131696 is an abundant number, since it is smaller than the sum of its proper divisors (2156784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1131696 is a wasteful number, since it uses less digits than its factorization.
1131696 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 314 (or 305 counting only the distinct ones).
The product of its digits is 972, while the sum is 27.
The square root of 1131696 is about 1063.8120134685. The cubic root of 1131696 is about 104.2101274291.
The spelling of 1131696 in words is "one million, one hundred thirty-one thousand, six hundred ninety-six".
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