Base | Representation |
---|---|
bin | 10110111011001101100000 |
3 | 102022022202100 |
4 | 112323031200 |
5 | 3014302241 |
6 | 332450400 |
7 | 102036660 |
oct | 26731540 |
9 | 12268670 |
10 | 6009696 |
11 | 34351a0 |
12 | 2019a00 |
13 | 1325544 |
14 | b261a0 |
15 | 7da9b6 |
hex | 5bb360 |
6009696 has 144 divisors (see below), whose sum is σ = 21385728. Its totient is φ = 1555200.
The previous prime is 6009683. The next prime is 6009709. The reversal of 6009696 is 6969006.
6009696 is digitally balanced in base 4, base 5 and base 8, because in such bases it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (6009683) and next prime (6009709).
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×60096962 = 72232892024832, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an Ulam number.
6009696 is strictly pandigital in base 8.
It is a self number, because there is not a number n which added to its sum of digits gives 6009696.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22041 + ... + 22311.
It is an arithmetic number, because the mean of its divisors is an integer number (148512).
Almost surely, 26009696 is an apocalyptic number.
6009696 is a gapful number since it is divisible by the number (66) 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 6009696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10692864).
6009696 is an abundant number, since it is smaller than the sum of its proper divisors (15376032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6009696 is a wasteful number, since it uses less digits than its factorization.
6009696 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 305 (or 294 counting only the distinct ones).
The product of its (nonzero) digits is 17496, while the sum is 36.
The square root of 6009696 is about 2451.4681315489. The cubic root of 6009696 is about 181.8098888339.
It can be divided in two parts, 600 and 9696, that added together give a triangular number (10296 = T143).
The spelling of 6009696 in words is "six million, nine thousand, six hundred ninety-six".
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