Base | Representation |
---|---|
bin | 1000000100110110011000 |
3 | 10222120000000 |
4 | 20010312120 |
5 | 1020221031 |
6 | 113213000 |
7 | 23665026 |
oct | 10046630 |
9 | 3876000 |
10 | 2117016 |
11 | 1216600 |
12 | 861160 |
13 | 591795 |
14 | 3d1716 |
15 | 2bc3e6 |
hex | 204d98 |
2117016 has 96 divisors (see below), whose sum is σ = 6543600. Its totient is φ = 641520.
The previous prime is 2116997. The next prime is 2117039. The reversal of 2117016 is 6107112.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a self number, because there is not a number n which added to its sum of digits gives 2117016.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192451 + ... + 192461.
22117016 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 2117016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271800).
2117016 is an abundant number, since it is smaller than the sum of its proper divisors (4426584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2117016 is an equidigital number, since it uses as much as digits as its factorization.
2117016 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 49 (or 16 counting only the distinct ones).
The product of its (nonzero) digits is 84, while the sum is 18.
The square root of 2117016 is about 1454.9969072132. The cubic root of 2117016 is about 128.4028648151.
It can be divided in two parts, 211 and 7016, that added together give a palindrome (7227).
The spelling of 2117016 in words is "two million, one hundred seventeen thousand, sixteen".
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