Base | Representation |
---|---|
bin | 1000000101000000000000 |
3 | 10222120211211 |
4 | 20011000000 |
5 | 1020231012 |
6 | 113215504 |
7 | 23666566 |
oct | 10050000 |
9 | 3876754 |
10 | 2117632 |
11 | 1217010 |
12 | 861594 |
13 | 591b4a |
14 | 3d1a36 |
15 | 2bc6a7 |
hex | 205000 |
2117632 has 52 divisors (see below), whose sum is σ = 4718016. Its totient is φ = 942080.
The previous prime is 2117623. The next prime is 2117651. The reversal of 2117632 is 2367112.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (3) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45033 + ... + 45079.
22117632 is an apocalyptic number.
2117632 is a gapful number since it is divisible by the number (22) 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 2117632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359008).
2117632 is an abundant number, since it is smaller than the sum of its proper divisors (2600384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2117632 is an equidigital number, since it uses as much as digits as its factorization.
2117632 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 82 (or 60 counting only the distinct ones).
The product of its digits is 504, while the sum is 22.
The square root of 2117632 is about 1455.2085761155. The cubic root of 2117632 is about 128.4153176409.
The spelling of 2117632 in words is "two million, one hundred seventeen thousand, six hundred thirty-two".
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