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68418756 = 2234797311
BaseRepresentation
bin1000001001111…
…11110011000100
311202202000220000
410010333303010
5120003400011
610442241300
71460356410
oct404776304
9152660800
1068418756
113569102a
121aab6230
1311236b93
14912dd40
156017356
hex413fcc4

68418756 has 120 divisors (see below), whose sum is σ = 207182976. Its totient is φ = 19284480.

The previous prime is 68418703. The next prime is 68418773. The reversal of 68418756 is 65781486.

It is a happy number.

It is a super-2 number, since 2×684187562 = 9362252345175072, which contains 22 as substring.

Its product of digits (322560) is a multiple of the sum of its prime divisors (420).

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 39 ways as a sum of consecutive naturals, for example, 219841 + ... + 220151.

Almost surely, 268418756 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 68418756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103591488).

68418756 is an abundant number, since it is smaller than the sum of its proper divisors (138764220).

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

68418756 is a wasteful number, since it uses less digits than its factorization.

68418756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 420 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 68418756 is about 8271.5630929106. The cubic root of 68418756 is about 409.0016479191.

The spelling of 68418756 in words is "sixty-eight million, four hundred eighteen thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 97 108 126 162 189 194 252 291 311 324 378 388 567 582 622 679 756 873 933 1134 1164 1244 1358 1746 1866 2037 2177 2268 2619 2716 2799 3492 3732 4074 4354 5238 5598 6111 6531 7857 8148 8397 8708 10476 11196 12222 13062 15714 16794 18333 19593 24444 25191 26124 30167 31428 33588 36666 39186 50382 54999 58779 60334 73332 78372 90501 100764 109998 117558 120668 176337 181002 211169 219996 235116 271503 352674 362004 422338 543006 633507 705348 814509 844676 1086012 1267014 1629018 1900521 2443527 2534028 3258036 3801042 4887054 5701563 7602084 9774108 11403126 17104689 22806252 34209378 68418756