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6066688 = 2917241
BaseRepresentation
bin10111001001001000000000
3102102012221011
4113021020000
53023113223
6334010304
7102365065
oct27111000
912365834
106066688
113473aa1
122046994
131345474
14b3cc6c
157ec80d
hex5c9200

6066688 has 60 divisors (see below), whose sum is σ = 13190562. Its totient is φ = 2785280.

The previous prime is 6066679. The next prime is 6066707. The reversal of 6066688 is 8866606.

It can be written as a sum of positive squares in 3 ways, for example, as 5234944 + 831744 = 2288^2 + 912^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6066688.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147948 + ... + 147988.

Almost surely, 26066688 is an apocalyptic number.

6066688 is a gapful number since it is divisible by the number (68) 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 6066688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6595281).

6066688 is an abundant number, since it is smaller than the sum of its proper divisors (7123874).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6066688 is an equidigital number, since it uses as much as digits as its factorization.

6066688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 6066688 is about 2463.0647575734. The cubic root of 6066688 is about 182.3828033444.

The spelling of 6066688 in words is "six million, sixty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 128 136 164 256 272 289 328 512 544 578 656 697 1088 1156 1312 1394 2176 2312 2624 2788 4352 4624 5248 5576 8704 9248 10496 11152 11849 18496 20992 22304 23698 36992 44608 47396 73984 89216 94792 147968 178432 189584 356864 379168 758336 1516672 3033344 6066688