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68123016 = 23321373997
BaseRepresentation
bin1000000111101…
…11100110001000
311202012000012200
410003313212020
5114414414031
610432040200
71455015243
oct403674610
9152160180
1068123016
11354a9915
121a993060
13111623a0
14909425a
155ea98e6
hex40f7988

68123016 has 96 divisors (see below), whose sum is σ = 201615960. Its totient is φ = 20653056.

The previous prime is 68122991. The next prime is 68123023. The reversal of 68123016 is 61032186.

It can be written as a sum of positive squares in 4 ways, for example, as 60000516 + 8122500 = 7746^2 + 2850^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67830 + ... + 68826.

Almost surely, 268123016 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 68123016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100807980).

68123016 is an abundant number, since it is smaller than the sum of its proper divisors (133492944).

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

68123016 is a wasteful number, since it uses less digits than its factorization.

68123016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 68123016 is about 8253.6668214800. Note that the first 3 decimals coincide. The cubic root of 68123016 is about 408.4114937243.

The spelling of 68123016 in words is "sixty-eight million, one hundred twenty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 73 78 104 117 146 156 219 234 292 312 438 468 584 657 876 936 949 997 1314 1752 1898 1994 2628 2847 2991 3796 3988 5256 5694 5982 7592 7976 8541 8973 11388 11964 12961 17082 17946 22776 23928 25922 34164 35892 38883 51844 68328 71784 72781 77766 103688 116649 145562 155532 218343 233298 291124 311064 436686 466596 582248 655029 873372 933192 946153 1310058 1746744 1892306 2620116 2838459 3784612 5240232 5676918 7569224 8515377 11353836 17030754 22707672 34061508 68123016