Base | Representation |
---|---|
bin | 100111010111… |
… | …111100100000 |
3 | 201102101201001 |
4 | 213113330200 |
5 | 10120243241 |
6 | 1005121344 |
7 | 153506260 |
oct | 47277440 |
9 | 21371631 |
10 | 10321696 |
11 | 590a930 |
12 | 3559254 |
13 | 21a5118 |
14 | 15297a0 |
15 | d8d431 |
hex | 9d7f20 |
10321696 has 96 divisors (see below), whose sum is σ = 26127360. Its totient is φ = 3897600.
The previous prime is 10321691. The next prime is 10321711. The reversal of 10321696 is 69612301.
10321696 is a nontrivial binomial coefficient, being equal to C(4544, 2).
It is a Harshad number since it is a multiple of its sum of digits (28).
It is an alternating number because its digits alternate between odd and even.
It is not an unprimeable number, because it can be changed into a prime (10321691) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145341 + ... + 145411.
It is an arithmetic number, because the mean of its divisors is an integer number (272160).
Almost surely, 210321696 is an apocalyptic number.
10321696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
10321696 is the 4543-rd triangular number and also the 2272-nd hexagonal number.
10321696 is the 1515-th centered nonagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10321696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063680).
10321696 is an abundant number, since it is smaller than the sum of its proper divisors (15805664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10321696 is a wasteful number, since it uses less digits than its factorization.
10321696 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 158 (or 150 counting only the distinct ones).
The product of its (nonzero) digits is 1944, while the sum is 28.
The square root of 10321696 is about 3212.7396408673. The cubic root of 10321696 is about 217.7293726778.
Adding to 10321696 its reverse (69612301), we get a palindrome (79933997).
Subtracting 10321696 from its reverse (69612301), we obtain a triangular number (59290605 = T10889).
The spelling of 10321696 in words is "ten million, three hundred twenty-one thousand, six hundred ninety-six".
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