Base | Representation |
---|---|
bin | 11010101000110110000000 |
3 | 111010202221010 |
4 | 122220312000 |
5 | 3241424130 |
6 | 405400520 |
7 | 113232501 |
oct | 32506600 |
9 | 14122833 |
10 | 6983040 |
11 | 3a3a509 |
12 | 2409140 |
13 | 15a659c |
14 | cdaba8 |
15 | 92e0b0 |
hex | 6a8d80 |
6983040 has 64 divisors (see below), whose sum is σ = 22264560. Its totient is φ = 1861632.
The previous prime is 6983033. The next prime is 6983057. The reversal of 6983040 is 403896.
It is a tau number, because it is divible by the number of its divisors (64).
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 6982989 and 6983007.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102 + ... + 3738.
Almost surely, 26983040 is an apocalyptic number.
6983040 is a gapful number since it is divisible by the number (60) 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 6983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11132280).
6983040 is an abundant number, since it is smaller than the sum of its proper divisors (15281520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6983040 is a wasteful number, since it uses less digits than its factorization.
6983040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3659 (or 3647 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 30.
The square root of 6983040 is about 2642.5442285797. The cubic root of 6983040 is about 191.1385013724.
The spelling of 6983040 in words is "six million, nine hundred eighty-three thousand, forty".
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