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6679968 = 253149467
BaseRepresentation
bin11001011110110110100000
3110120101012020
4121132312200
53202224333
6355101440
7110531061
oct31366640
913511166
106679968
113852839
1222a1880
1314cb659
14c5c568
158be3b3
hex65eda0

6679968 has 48 divisors (see below), whose sum is σ = 17690400. Its totient is φ = 2206976.

The previous prime is 6679957. The next prime is 6679979. The reversal of 6679968 is 8699766.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6679957) and next prime (6679979).

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6679968.

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, 14071 + ... + 14537.

It is an arithmetic number, because the mean of its divisors is an integer number (368550).

Almost surely, 26679968 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 6679968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8845200).

6679968 is an abundant number, since it is smaller than the sum of its proper divisors (11010432).

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

6679968 is a wasteful number, since it uses less digits than its factorization.

6679968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 621 counting only the distinct ones).

The product of its digits is 979776, while the sum is 51.

The square root of 6679968 is about 2584.5634060707. The cubic root of 6679968 is about 188.3322929607.

The spelling of 6679968 in words is "six million, six hundred seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 149 298 447 467 596 894 934 1192 1401 1788 1868 2384 2802 3576 3736 4768 5604 7152 7472 11208 14304 14944 22416 44832 69583 139166 208749 278332 417498 556664 834996 1113328 1669992 2226656 3339984 6679968