Base | Representation |
---|---|
bin | 100001011100101000000 |
3 | 2001200102121 |
4 | 10023211000 |
5 | 240033000 |
6 | 35254024 |
7 | 12213223 |
oct | 4134500 |
9 | 2050377 |
10 | 1096000 |
11 | 689494 |
12 | 44a314 |
13 | 2c4b29 |
14 | 2075ba |
15 | 169b1a |
hex | 10b940 |
1096000 has 56 divisors (see below), whose sum is σ = 2734056. Its totient is φ = 435200.
The previous prime is 1095989. The next prime is 1096031. The reversal of 1096000 is 6901.
It can be written as a sum of positive squares in 4 ways, for example, as 30976 + 1065024 = 176^2 + 1032^2 .
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
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 7 ways as a sum of consecutive naturals, for example, 7932 + ... + 8068.
21096000 is an apocalyptic number.
1096000 is a gapful number since it is divisible by the number (10) 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 1096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367028).
1096000 is an abundant number, since it is smaller than the sum of its proper divisors (1638056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1096000 is an equidigital number, since it uses as much as digits as its factorization.
1096000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 164 (or 144 counting only the distinct ones).
The product of its (nonzero) digits is 54, while the sum is 16.
The square root of 1096000 is about 1046.9001862642. The cubic root of 1096000 is about 103.1027347095.
The spelling of 1096000 in words is "one million, ninety-six thousand".
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