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6678080 = 26541509
BaseRepresentation
bin11001011110011001000000
3110120021121022
4121132121000
53202144310
6355045012
7110522423
oct31363100
913507538
106678080
113851382
1222a0768
1314ca836
14c5b9ba
158bda55
hex65e640

6678080 has 56 divisors (see below), whose sum is σ = 16322040. Its totient is φ = 2600960.

The previous prime is 6678079. The next prime is 6678109. The reversal of 6678080 is 808766.

6678080 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 287296 + 6390784 = 536^2 + 2528^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6678080.

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, 12866 + ... + 13374.

It is an arithmetic number, because the mean of its divisors is an integer number (291465).

Almost surely, 26678080 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 6678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8161020).

6678080 is an abundant number, since it is smaller than the sum of its proper divisors (9643960).

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

6678080 is a wasteful number, since it uses less digits than its factorization.

6678080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 6678080 is about 2584.1981348186. The cubic root of 6678080 is about 188.3145481216.

The spelling of 6678080 in words is "six million, six hundred seventy-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 509 656 820 1018 1312 1640 2036 2545 2624 3280 4072 5090 6560 8144 10180 13120 16288 20360 20869 32576 40720 41738 81440 83476 104345 162880 166952 208690 333904 417380 667808 834760 1335616 1669520 3339040 6678080