Base | Representation |
---|---|
bin | 10111001111110010100000 |
3 | 102110121101010 |
4 | 113033302200 |
5 | 3030001414 |
6 | 334340520 |
7 | 102540501 |
oct | 27176240 |
9 | 12417333 |
10 | 6093984 |
11 | 3492556 |
12 | 205a740 |
13 | 1354a10 |
14 | b48ba8 |
15 | 805959 |
hex | 5cfca0 |
6093984 has 96 divisors (see below), whose sum is σ = 18204480. Its totient is φ = 1769472.
The previous prime is 6093947. The next prime is 6093991. The reversal of 6093984 is 4893906.
6093984 = T404 + T405 + ... + T467.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (39).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23584 + ... + 23840.
It is an arithmetic number, because the mean of its divisors is an integer number (189630).
Almost surely, 26093984 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 6093984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9102240).
6093984 is an abundant number, since it is smaller than the sum of its proper divisors (12110496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6093984 is a wasteful number, since it uses less digits than its factorization.
6093984 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 302 (or 294 counting only the distinct ones).
The product of its (nonzero) digits is 46656, while the sum is 39.
The square root of 6093984 is about 2468.5996030138. The cubic root of 6093984 is about 182.6559272876.
The spelling of 6093984 in words is "six million, ninety-three thousand, nine hundred eighty-four".
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