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68697216 = 2732721217
BaseRepresentation
bin1000001100000…
…11110010000000
311210021011212100
410012003302000
5120041302331
610452230400
71462626300
oct406036200
9153234770
1068697216
1135861265
121b00b400
1311303853
1491a3600
15606eae6
hex4183c80

68697216 has 144 divisors (see below), whose sum is σ = 230147190. Its totient is φ = 19611648.

The previous prime is 68697203. The next prime is 68697229. The reversal of 68697216 is 61279686.

It is an interprime number because it is at equal distance from previous prime (68697203) and next prime (68697229).

It can be written as a sum of positive squares in only one way, i.e., 62346816 + 6350400 = 7896^2 + 2520^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55840 + ... + 57056.

Almost surely, 268697216 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 68697216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115073595).

68697216 is an abundant number, since it is smaller than the sum of its proper divisors (161449974).

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

68697216 is a wasteful number, since it uses less digits than its factorization.

68697216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1229 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 68697216 is about 8288.3783697416. The cubic root of 68697216 is about 409.5557671147. Note that the first 3 decimals are identical.

The spelling of 68697216 in words is "sixty-eight million, six hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 288 294 336 384 392 441 448 504 576 588 672 784 882 896 1008 1152 1176 1217 1344 1568 1764 2016 2352 2434 2688 3136 3528 3651 4032 4704 4868 6272 7056 7302 8064 8519 9408 9736 10953 14112 14604 17038 18816 19472 21906 25557 28224 29208 34076 38944 43812 51114 56448 58416 59633 68152 76671 77888 87624 102228 116832 119266 136304 153342 155776 175248 178899 204456 233664 238532 272608 306684 350496 357798 408912 467328 477064 536697 545216 613368 700992 715596 817824 954128 1073394 1090432 1226736 1401984 1431192 1635648 1908256 2146788 2453472 2862384 3271296 3816512 4293576 4906944 5724768 7633024 8587152 9813888 11449536 17174304 22899072 34348608 68697216