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68960196 = 223219412459
BaseRepresentation
bin1000001110000…
…11111111000100
311210202112121100
410013003333010
5120123211241
610502020100
71465103064
oct407037704
9153675540
1068960196
1135a208a8
121b117630
1311396466
1492313a4
1560c29b6
hex41c3fc4

68960196 has 72 divisors (see below), whose sum is σ = 188042400. Its totient is φ = 21237120.

The previous prime is 68960191. The next prime is 68960201. The reversal of 68960196 is 69106986.

It is an interprime number because it is at equal distance from previous prime (68960191) and next prime (68960201).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (68960191) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 26815 + ... + 29273.

It is an arithmetic number, because the mean of its divisors is an integer number (2611700).

Almost surely, 268960196 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 68960196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94021200).

68960196 is an abundant number, since it is smaller than the sum of its proper divisors (119082204).

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

68960196 is a wasteful number, since it uses less digits than its factorization.

68960196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 68960196 is about 8304.2275980370. The cubic root of 68960196 is about 410.0777088479.

The spelling of 68960196 in words is "sixty-eight million, nine hundred sixty thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 41 57 76 82 114 123 164 171 228 246 342 369 492 684 738 779 1476 1558 2337 2459 3116 4674 4918 7011 7377 9348 9836 14022 14754 22131 28044 29508 44262 46721 88524 93442 100819 140163 186884 201638 280326 302457 403276 420489 560652 604914 840978 907371 1209828 1681956 1814742 1915561 3629484 3831122 5746683 7662244 11493366 17240049 22986732 34480098 68960196