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68247168 = 27311107151
BaseRepresentation
bin1000001000101…
…01111010000000
311202102022111220
410010111322000
5114432402133
610434435040
71456043223
oct404257200
9152368456
1068247168
1135584120
121aa32a80
13111a6a52
1490c75ba
155ed15b3
hex4115e80

68247168 has 128 divisors (see below), whose sum is σ = 200931840. Its totient is φ = 20352000.

The previous prime is 68247161. The next prime is 68247181. The reversal of 68247168 is 86174286.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (68247161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451893 + ... + 452043.

It is an arithmetic number, because the mean of its divisors is an integer number (1569780).

Almost surely, 268247168 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 68247168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100465920).

68247168 is an abundant number, since it is smaller than the sum of its proper divisors (132684672).

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

68247168 is a wasteful number, since it uses less digits than its factorization.

68247168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 274 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 68247168 is about 8261.1844187138. The cubic root of 68247168 is about 408.6594487479.

The spelling of 68247168 in words is "sixty-eight million, two hundred forty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 107 128 132 151 176 192 214 264 302 321 352 384 428 453 528 604 642 704 856 906 1056 1177 1208 1284 1408 1661 1712 1812 2112 2354 2416 2568 3322 3424 3531 3624 4224 4708 4832 4983 5136 6644 6848 7062 7248 9416 9664 9966 10272 13288 13696 14124 14496 16157 18832 19328 19932 20544 26576 28248 28992 32314 37664 39864 41088 48471 53152 56496 57984 64628 75328 79728 96942 106304 112992 129256 150656 159456 177727 193884 212608 225984 258512 318912 355454 387768 451968 517024 533181 637824 710908 775536 1034048 1066362 1421816 1551072 2068096 2132724 2843632 3102144 4265448 5687264 6204288 8530896 11374528 17061792 22749056 34123584 68247168