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6667056 = 2433112361
BaseRepresentation
bin11001011011101100110000
3110112201111000
4121123230300
53201321211
6354522000
7110445324
oct31335460
913481430
106667056
113844070
122296300
1314c5806
14c57984
158ba656
hex65bb30

6667056 has 160 divisors (see below), whose sum is σ = 22141440. Its totient is φ = 1900800.

The previous prime is 6667049. The next prime is 6667061. The reversal of 6667056 is 6507666.

6667056 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6667056.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109266 + ... + 109326.

It is an arithmetic number, because the mean of its divisors is an integer number (138384).

Almost surely, 26667056 is an apocalyptic number.

6667056 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 6667056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11070720).

6667056 is an abundant number, since it is smaller than the sum of its proper divisors (15474384).

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

6667056 is a wasteful number, since it uses less digits than its factorization.

6667056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 6667056 is about 2582.0642904467. The cubic root of 6667056 is about 188.2108694718.

The spelling of 6667056 in words is "six million, six hundred sixty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 27 33 36 44 46 48 54 61 66 69 72 88 92 99 108 122 132 138 144 176 183 184 198 207 216 244 253 264 276 297 366 368 396 414 432 488 506 528 549 552 594 621 671 732 759 792 828 976 1012 1098 1104 1188 1242 1342 1403 1464 1518 1584 1647 1656 2013 2024 2196 2277 2376 2484 2684 2806 2928 3036 3294 3312 4026 4048 4209 4392 4554 4752 4968 5368 5612 6039 6072 6588 6831 8052 8418 8784 9108 9936 10736 11224 12078 12144 12627 13176 13662 15433 16104 16836 18117 18216 22448 24156 25254 26352 27324 30866 32208 33672 36234 36432 37881 46299 48312 50508 54648 61732 67344 72468 75762 92598 96624 101016 109296 123464 138897 144936 151524 185196 202032 246928 277794 289872 303048 370392 416691 555588 606096 740784 833382 1111176 1666764 2222352 3333528 6667056