Base | Representation |
---|---|
bin | 100000100111… |
… | …1110010100000 |
3 | 1012011222022200 |
4 | 1001033302200 |
5 | 13334312112 |
6 | 1410333200 |
7 | 265244661 |
oct | 101176240 |
9 | 35158280 |
10 | 17104032 |
11 | 9722570 |
12 | 588a200 |
13 | 370b23a |
14 | 23b3368 |
15 | 177ccdc |
hex | 104fca0 |
17104032 has 72 divisors (see below), whose sum is σ = 53071200. Its totient is φ = 5182080.
The previous prime is 17104007. The next prime is 17104037. The reversal of 17104032 is 23040171.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 17103996 and 17104014.
It is not an unprimeable number, because it can be changed into a prime (17104037) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 469 + ... + 5867.
It is an arithmetic number, because the mean of its divisors is an integer number (737100).
Almost surely, 217104032 is an apocalyptic number.
17104032 is a gapful number since it is divisible by the number (12) 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 17104032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26535600).
17104032 is an abundant number, since it is smaller than the sum of its proper divisors (35967168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
17104032 is a wasteful number, since it uses less digits than its factorization.
17104032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5426 (or 5415 counting only the distinct ones).
The product of its (nonzero) digits is 168, while the sum is 18.
The square root of 17104032 is about 4135.7021169325. The cubic root of 17104032 is about 257.6515938991.
The spelling of 17104032 in words is "seventeen million, one hundred four thousand, thirty-two".
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