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6745968 = 243279593
BaseRepresentation
bin11001101110111101110000
3110200201201200
4121232331300
53211332333
6400331200
7111224355
oct31567560
913621650
106745968
113898389
122313b00
1315226c8
14c7862c
158d3c13
hex66ef70

6745968 has 60 divisors (see below), whose sum is σ = 19150560. Its totient is φ = 2216448.

The previous prime is 6745961. The next prime is 6745979. The reversal of 6745968 is 8695476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6745961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11080 + ... + 11672.

It is an arithmetic number, because the mean of its divisors is an integer number (319176).

Almost surely, 26745968 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 6745968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9575280).

6745968 is an abundant number, since it is smaller than the sum of its proper divisors (12404592).

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

6745968 is a wasteful number, since it uses less digits than its factorization.

6745968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 677 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 6745968 is about 2597.3001366804. The cubic root of 6745968 is about 188.9505203472.

The spelling of 6745968 in words is "six million, seven hundred forty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 474 593 632 711 948 1186 1264 1422 1779 1896 2372 2844 3558 3792 4744 5337 5688 7116 9488 10674 11376 14232 21348 28464 42696 46847 85392 93694 140541 187388 281082 374776 421623 562164 749552 843246 1124328 1686492 2248656 3372984 6745968