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68029416 = 23337133461
BaseRepresentation
bin1000000111000…
…00101111101000
311202000020211000
410003200233220
5114403420131
610430035000
71454145330
oct403405750
9152006730
1068029416
1135445564
121a948a60
131112b8c0
14906c0c0
155e8bce6
hex40e0be8

68029416 has 128 divisors (see below), whose sum is σ = 232646400. Its totient is φ = 17936640.

The previous prime is 68029399. The next prime is 68029433. The reversal of 68029416 is 61492086.

It is an interprime number because it is at equal distance from previous prime (68029399) and next prime (68029433).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 17926 + ... + 21386.

It is an arithmetic number, because the mean of its divisors is an integer number (1817550).

Almost surely, 268029416 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 68029416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116323200).

68029416 is an abundant number, since it is smaller than the sum of its proper divisors (164616984).

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

68029416 is a wasteful number, since it uses less digits than its factorization.

68029416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 68029416 is about 8247.9946653717. The cubic root of 68029416 is about 408.2243575729.

The spelling of 68029416 in words is "sixty-eight million, twenty-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 3461 4914 6552 6922 9828 10383 13844 19656 20766 24227 27688 31149 41532 44993 48454 62298 72681 83064 89986 93447 96908 124596 134979 145362 179972 186894 193816 218043 249192 269958 290724 314951 359944 373788 404937 436086 539916 581448 629902 654129 747576 809874 872172 944853 1079832 1214811 1259804 1308258 1619748 1744344 1889706 2429622 2519608 2616516 2834559 3239496 3779412 4859244 5233032 5669118 7558824 8503677 9718488 11338236 17007354 22676472 34014708 68029416