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68053986 = 233711131259
BaseRepresentation
bin1000000111001…
…10101111100010
311202001111112000
410003212233202
5114410211421
610430344430
71454310060
oct403465742
9152044460
1068053986
1135461a70
121a95b116
1311139b40
149077030
155e94226
hex40e6be2

68053986 has 128 divisors (see below), whose sum is σ = 203212800. Its totient is φ = 16303680.

The previous prime is 68053969. The next prime is 68054011. The reversal of 68053986 is 68935086.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53425 + ... + 54683.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 268053986 is an apocalyptic number.

68053986 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 68053986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101606400).

68053986 is an abundant number, since it is smaller than the sum of its proper divisors (135158814).

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

68053986 is a wasteful number, since it uses less digits than its factorization.

68053986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 68053986 is about 8249.4839838623. The cubic root of 68053986 is about 408.2734974195.

It can be divided in two parts, 680539 and 86, that added together give a square (680625 = 8252).

The spelling of 68053986 in words is "sixty-eight million, fifty-three thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 27 33 39 42 54 63 66 77 78 91 99 117 126 143 154 182 189 198 231 234 273 286 297 351 378 429 462 546 594 693 702 819 858 1001 1259 1287 1386 1638 2002 2079 2457 2518 2574 3003 3777 3861 4158 4914 6006 7554 7722 8813 9009 11331 13849 16367 17626 18018 22662 26439 27027 27698 32734 33993 41547 49101 52878 54054 67986 79317 83094 96943 98202 114569 124641 147303 158634 180037 193886 229138 237951 249282 290829 294606 343707 360074 373923 441909 475902 540111 581658 687414 747846 872487 883818 1031121 1080222 1260259 1620333 1744974 2062242 2520518 2617461 3093363 3240666 3780777 4860999 5234922 6186726 7561554 9721998 11342331 22684662 34026993 68053986