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68198676 = 223713192173
BaseRepresentation
bin1000001000010…
…10000100010100
311202022211222220
410010022010110
5114424324201
610433422340
71455451650
oct404120424
9152284886
1068198676
1135550747
121aa0a9b0
131118a960
1490b3a60
155ec2036
hex410a114

68198676 has 144 divisors (see below), whose sum is σ = 207897984. Its totient is φ = 16941312.

The previous prime is 68198639. The next prime is 68198707. The reversal of 68198676 is 67689186.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394126 + ... + 394298.

It is an arithmetic number, because the mean of its divisors is an integer number (1443736).

Almost surely, 268198676 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 68198676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103948992).

68198676 is an abundant number, since it is smaller than the sum of its proper divisors (139699308).

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

68198676 is a wasteful number, since it uses less digits than its factorization.

68198676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 217 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 68198676 is about 8258.2489669421. The cubic root of 68198676 is about 408.5626368707.

The spelling of 68198676 in words is "sixty-eight million, one hundred ninety-eight thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 52 57 76 78 84 91 114 133 156 173 182 228 247 266 273 346 361 364 399 494 519 532 546 692 722 741 798 988 1038 1083 1092 1211 1444 1482 1596 1729 2076 2166 2249 2422 2527 2964 3287 3458 3633 4332 4498 4693 4844 5054 5187 6574 6747 6916 7266 7581 8996 9386 9861 10108 10374 13148 13494 14079 14532 15162 15743 18772 19722 20748 23009 26988 28158 30324 31486 32851 39444 42731 46018 47229 56316 62453 62972 65702 69027 85462 92036 94458 98553 124906 128193 131404 138054 170924 187359 188916 197106 249812 256386 276108 299117 374718 394212 437171 512772 598234 749436 811889 874342 897351 1196468 1311513 1623778 1748684 1794702 2435667 2623026 3247556 3589404 4871334 5246052 5683223 9742668 11366446 17049669 22732892 34099338 68198676