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68014680 = 233519231297
BaseRepresentation
bin1000000110111…
…01001001011000
311201222111121020
410003131021120
5114402432210
610425442440
71454054346
oct403351130
9151874536
1068014680
1135435488
121a940420
1311124c96
149066996
155e87770
hex40dd258

68014680 has 128 divisors (see below), whose sum is σ = 224294400. Its totient is φ = 16422912.

The previous prime is 68014679. The next prime is 68014697. The reversal of 68014680 is 8641086.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51792 + ... + 53088.

It is an arithmetic number, because the mean of its divisors is an integer number (1752300).

Almost surely, 268014680 is an apocalyptic number.

68014680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68014680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112147200).

68014680 is an abundant number, since it is smaller than the sum of its proper divisors (156279720).

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

68014680 is a wasteful number, since it uses less digits than its factorization.

68014680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 68014680 is about 8247.1013089449. The cubic root of 68014680 is about 408.1948799886.

The spelling of 68014680 in words is "sixty-eight million, fourteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 23 24 30 38 40 46 57 60 69 76 92 95 114 115 120 138 152 184 190 228 230 276 285 345 380 437 456 460 552 570 690 760 874 920 1140 1297 1311 1380 1748 2185 2280 2594 2622 2760 3496 3891 4370 5188 5244 6485 6555 7782 8740 10376 10488 12970 13110 15564 17480 19455 24643 25940 26220 29831 31128 38910 49286 51880 52440 59662 73929 77820 89493 98572 119324 123215 147858 149155 155640 178986 197144 238648 246430 295716 298310 357972 369645 447465 492860 566789 591432 596620 715944 739290 894930 985720 1133578 1193240 1478580 1700367 1789860 2267156 2833945 2957160 3400734 3579720 4534312 5667890 6801468 8501835 11335780 13602936 17003670 22671560 34007340 68014680