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68019696 = 2433198287
BaseRepresentation
bin1000000110111…
…10010111110000
311201222202111000
410003132113300
5114403112241
610425522000
71454105103
oct403362760
9151882430
1068019696
1135439228
121a943300
1311127354
14906873a
155e88eb6
hex40de5f0

68019696 has 80 divisors (see below), whose sum is σ = 205542400. Its totient is φ = 21477312.

The previous prime is 68019691. The next prime is 68019701. The reversal of 68019696 is 69691086.

It is an interprime number because it is at equal distance from previous prime (68019691) and next prime (68019701).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68019691) 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 15 ways as a sum of consecutive naturals, for example, 4065 + ... + 12351.

It is an arithmetic number, because the mean of its divisors is an integer number (2569280).

Almost surely, 268019696 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 68019696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102771200).

68019696 is an abundant number, since it is smaller than the sum of its proper divisors (137522704).

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

68019696 is a wasteful number, since it uses less digits than its factorization.

68019696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8323 (or 8311 counting only the distinct ones).

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

The square root of 68019696 is about 8247.4054101881. The cubic root of 68019696 is about 408.2049143674.

The spelling of 68019696 in words is "sixty-eight million, nineteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 8208 8287 16574 24861 33148 49722 66296 74583 99444 132592 149166 157453 198888 223749 298332 314906 397776 447498 472359 596664 629812 894996 944718 1193328 1259624 1417077 1789992 1889436 2519248 2834154 3579984 3778872 4251231 5668308 7557744 8502462 11336616 17004924 22673232 34009848 68019696