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68118192 = 24331943193
BaseRepresentation
bin1000000111101…
…10011010110000
311202011202121000
410003312122300
5114414240232
610432002000
71454665212
oct403663260
9152152530
1068118192
11354a622a
121a990300
131116012c
1490925b2
155ea827c
hex40f66b0

68118192 has 160 divisors (see below), whose sum is σ = 211692800. Its totient is φ = 20901888.

The previous prime is 68118139. The next prime is 68118199. The reversal of 68118192 is 29181186.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (68118199) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352848 + ... + 353040.

It is an arithmetic number, because the mean of its divisors is an integer number (1323080).

Almost surely, 268118192 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 68118192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105846400).

68118192 is an abundant number, since it is smaller than the sum of its proper divisors (143574608).

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

68118192 is a wasteful number, since it uses less digits than its factorization.

68118192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 260 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 68118192 is about 8253.3745825571. The cubic root of 68118192 is about 408.4018532060.

The spelling of 68118192 in words is "sixty-eight million, one hundred eighteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 43 48 54 57 72 76 86 108 114 129 144 152 171 172 193 216 228 258 304 342 344 386 387 432 456 513 516 579 684 688 772 774 817 912 1026 1032 1158 1161 1368 1544 1548 1634 1737 2052 2064 2316 2322 2451 2736 3088 3096 3268 3474 3667 4104 4632 4644 4902 5211 6192 6536 6948 7334 7353 8208 8299 9264 9288 9804 10422 11001 13072 13896 14668 14706 16598 18576 19608 20844 22002 22059 24897 27792 29336 29412 33003 33196 39216 41688 44004 44118 49794 58672 58824 66006 66392 74691 83376 88008 88236 99009 99588 117648 132012 132784 149382 157681 176016 176472 198018 199176 224073 264024 298764 315362 352944 396036 398352 448146 473043 528048 597528 630724 792072 896292 946086 1195056 1261448 1419129 1584144 1792584 1892172 2522896 2838258 3585168 3784344 4257387 5676516 7568688 8514774 11353032 17029548 22706064 34059096 68118192