Base | Representation |
---|---|
bin | 100001001110… |
… | …1001010111000 |
3 | 1012210002002122 |
4 | 1002131022320 |
5 | 13424432414 |
6 | 1421220412 |
7 | 301035020 |
oct | 102351270 |
9 | 35702078 |
10 | 17420984 |
11 | 9919709 |
12 | 5a01708 |
13 | 37bc599 |
14 | 2456a80 |
15 | 17e1b8e |
hex | 109d2b8 |
17420984 has 32 divisors (see below), whose sum is σ = 37674720. Its totient is φ = 7397376.
The previous prime is 17420957. The next prime is 17420987. The reversal of 17420984 is 48902471.
It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (17420987) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4952 + ... + 7704.
It is an arithmetic number, because the mean of its divisors is an integer number (1177335).
Almost surely, 217420984 is an apocalyptic number.
17420984 is a gapful number since it is divisible by the number (14) 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 17420984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18837360).
17420984 is an abundant number, since it is smaller than the sum of its proper divisors (20253736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
17420984 is a wasteful number, since it uses less digits than its factorization.
17420984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2879 (or 2875 counting only the distinct ones).
The product of its (nonzero) digits is 16128, while the sum is 35.
The square root of 17420984 is about 4173.8452295216. The cubic root of 17420984 is about 259.2333630148.
The spelling of 17420984 in words is "seventeen million, four hundred twenty thousand, nine hundred eighty-four".
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