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68005940 = 225192331251
BaseRepresentation
bin1000000110110…
…11000000110100
311201222001121112
410003123000310
5114402142230
610425334152
71454020022
oct403330064
9151861545
1068005940
1135429962
121a937358
1311121002
149063712
155e84d95
hex40db034

68005940 has 96 divisors (see below), whose sum is σ = 162570240. Its totient is φ = 23760000.

The previous prime is 68005939. The next prime is 68005979. The reversal of 68005940 is 4950086.

It is a junction number, because it is equal to n+sod(n) for n = 68005897 and 68005906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270815 + ... + 271065.

It is an arithmetic number, because the mean of its divisors is an integer number (1693440).

Almost surely, 268005940 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 68005940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81285120).

68005940 is an abundant number, since it is smaller than the sum of its proper divisors (94564300).

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

68005940 is a wasteful number, since it uses less digits than its factorization.

68005940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 68005940 is about 8246.5714087735. The cubic root of 68005940 is about 408.1773946650.

The spelling of 68005940 in words is "sixty-eight million, five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 19 20 23 31 38 46 62 76 92 95 115 124 155 190 230 251 310 380 437 460 502 589 620 713 874 1004 1178 1255 1426 1748 2185 2356 2510 2852 2945 3565 4370 4769 5020 5773 5890 7130 7781 8740 9538 11546 11780 13547 14260 15562 19076 23092 23845 27094 28865 31124 38905 47690 54188 57730 67735 77810 95380 109687 115460 135470 147839 155620 178963 219374 270940 295678 357926 438748 548435 591356 715852 739195 894815 1096870 1478390 1789630 2193740 2956780 3400297 3579260 6800594 13601188 17001485 34002970 68005940