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68042268 = 22347191579
BaseRepresentation
bin1000000111000…
…11111000011100
311202000220110000
410003203320130
5114404323033
610430214300
71454230650
oct403437034
9152026400
1068042268
1135454188
121a954390
13111346c8
149072a60
155e90a13
hex40e3e1c

68042268 has 120 divisors (see below), whose sum is σ = 214121600. Its totient is φ = 18405792.

The previous prime is 68042243. The next prime is 68042309. The reversal of 68042268 is 86224086.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42303 + ... + 43881.

Almost surely, 268042268 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 68042268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107060800).

68042268 is an abundant number, since it is smaller than the sum of its proper divisors (146079332).

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

68042268 is a wasteful number, since it uses less digits than its factorization.

68042268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 68042268 is about 8248.7737270457. The cubic root of 68042268 is about 408.2500629682.

The spelling of 68042268 in words is "sixty-eight million, forty-two thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 81 84 108 114 126 133 162 171 189 228 252 266 324 342 378 399 513 532 567 684 756 798 1026 1134 1197 1539 1579 1596 2052 2268 2394 3078 3158 3591 4737 4788 6156 6316 7182 9474 10773 11053 14211 14364 18948 21546 22106 28422 30001 33159 42633 43092 44212 56844 60002 66318 85266 90003 99477 120004 127899 132636 170532 180006 198954 210007 255798 270009 298431 360012 397908 420014 511596 540018 596862 630021 810027 840028 895293 1080036 1193724 1260042 1620054 1790586 1890063 2430081 2520084 3240108 3581172 3780126 4860162 5670189 7560252 9720324 11340378 17010567 22680756 34021134 68042268