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68134014 = 23313711367
BaseRepresentation
bin1000000111110…
…10010001111110
311202012120022000
410003322101332
5114420242024
610432203130
71455062304
oct403722176
9152176260
1068134014
1135507103
121a9994a6
13111673b0
149098274
155eaccc9
hex40fa47e

68134014 has 64 divisors (see below), whose sum is σ = 165473280. Its totient is φ = 20653920.

The previous prime is 68133979. The next prime is 68134037. The reversal of 68134014 is 41043186.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 49159 + ... + 50525.

It is an arithmetic number, because the mean of its divisors is an integer number (2585520).

Almost surely, 268134014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68134014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82736640).

68134014 is an abundant number, since it is smaller than the sum of its proper divisors (97339266).

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

68134014 is a wasteful number, since it uses less digits than its factorization.

68134014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 68134014 is about 8254.3330439231. Note that the first 3 decimals coincide. The cubic root of 68134014 is about 408.4334709658.

The spelling of 68134014 in words is "sixty-eight million, one hundred thirty-four thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 71 78 117 142 213 234 351 426 639 702 923 1278 1367 1846 1917 2734 2769 3834 4101 5538 8202 8307 12303 16614 17771 24606 24921 35542 36909 49842 53313 73818 97057 106626 159939 194114 291171 319878 479817 582342 873513 959634 1261741 1747026 2523482 2620539 3785223 5241078 7570446 11355669 22711338 34067007 68134014