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68135634 = 23371953179
BaseRepresentation
bin1000000111110…
…10101011010010
311202012122112000
410003322223102
5114420320014
610432214430
71455100110
oct403725322
9152178460
1068135634
1135508346
121a99a416
1311168058
149098ab0
155ead509
hex40faad2

68135634 has 128 divisors (see below), whose sum is σ = 186624000. Its totient is φ = 17993664.

The previous prime is 68135623. The next prime is 68135657. The reversal of 68135634 is 43653186.

68135634 is a `hidden beast` number, since 6 + 8 + 13 + 5 + 634 = 666.

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, 380557 + ... + 380735.

It is an arithmetic number, because the mean of its divisors is an integer number (1458000).

Almost surely, 268135634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68135634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93312000).

68135634 is an abundant number, since it is smaller than the sum of its proper divisors (118488366).

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

68135634 is a wasteful number, since it uses less digits than its factorization.

68135634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 263 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 68135634 is about 8254.4311736182. The cubic root of 68135634 is about 408.4367080028.

It can be divided in two parts, 681 and 35634, that added together give a triangular number (36315 = T269).

The spelling of 68135634 in words is "sixty-eight million, one hundred thirty-five thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 53 54 57 63 106 114 126 133 159 171 179 189 266 318 342 358 371 378 399 477 513 537 742 798 954 1007 1026 1074 1113 1197 1253 1431 1611 2014 2226 2394 2506 2862 3021 3222 3339 3401 3591 3759 4833 6042 6678 6802 7049 7182 7518 9063 9487 9666 10017 10203 11277 14098 18126 18974 20034 20406 21147 22554 23807 27189 28461 30609 33831 42294 47614 54378 56922 61218 63441 66409 67662 71421 85383 91827 126882 132818 142842 170766 180253 183654 190323 199227 214263 256149 360506 380646 398454 428526 512298 540759 597681 642789 1081518 1195362 1261771 1285578 1622277 1793043 2523542 3244554 3586086 3785313 4866831 7570626 9733662 11355939 22711878 34067817 68135634