Base | Representation |
---|---|
bin | 101000111000… |
… | …010010000000 |
3 | 202011102222120 |
4 | 220320102000 |
5 | 10220410123 |
6 | 1021404240 |
7 | 160041552 |
oct | 50702200 |
9 | 22142876 |
10 | 10716288 |
11 | 605a340 |
12 | 3709680 |
13 | 22b28cb |
14 | 15cd4d2 |
15 | e1a2e3 |
hex | a38480 |
10716288 has 128 divisors (see below), whose sum is σ = 32313600. Its totient is φ = 3118080.
The previous prime is 10716287. The next prime is 10716301. The reversal of 10716288 is 88261701.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×107162882 = 229677656997888, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (33).
It is not an unprimeable number, because it can be changed into a prime (10716281) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 181603 + ... + 181661.
It is an arithmetic number, because the mean of its divisors is an integer number (252450).
Almost surely, 210716288 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10716288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16156800).
10716288 is an abundant number, since it is smaller than the sum of its proper divisors (21597312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10716288 is a wasteful number, since it uses less digits than its factorization.
10716288 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 130 (or 118 counting only the distinct ones).
The product of its (nonzero) digits is 5376, while the sum is 33.
The square root of 10716288 is about 3273.5741934467. The cubic root of 10716288 is about 220.4693012111.
Adding to 10716288 its reverse (88261701), we get a palindrome (98977989).
The spelling of 10716288 in words is "ten million, seven hundred sixteen thousand, two hundred eighty-eight".
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