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68816412 = 22337227401
BaseRepresentation
bin1000001101000…
…00111000011100
311210111020101000
410012200320130
5120104111122
610454550300
71463633640
oct406407034
9153436330
1068816412
1135932875
121b068390
1311345b92
1491d4c20
1560950ac
hex41a0e1c

68816412 has 96 divisors (see below), whose sum is σ = 205309440. Its totient is φ = 19526400.

The previous prime is 68816401. The next prime is 68816417. The reversal of 68816412 is 21461886.

68816412 is a `hidden beast` number, since 6 + 8 + 8 + 1 + 641 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68816417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171412 + ... + 171812.

It is an arithmetic number, because the mean of its divisors is an integer number (2138640).

Almost surely, 268816412 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 68816412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102654720).

68816412 is an abundant number, since it is smaller than the sum of its proper divisors (136493028).

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

68816412 is a wasteful number, since it uses less digits than its factorization.

68816412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 640 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 68816412 is about 8295.5658034880. The cubic root of 68816412 is about 409.7925025799.

The spelling of 68816412 in words is "sixty-eight million, eight hundred sixteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 227 252 378 401 454 681 756 802 908 1203 1362 1589 1604 2043 2406 2724 2807 3178 3609 4086 4767 4812 5614 6129 6356 7218 8172 8421 9534 10827 11228 12258 14301 14436 16842 19068 21654 24516 25263 28602 33684 42903 43308 50526 57204 75789 85806 91027 101052 151578 171612 182054 273081 303156 364108 546162 637189 819243 1092324 1274378 1638486 1911567 2457729 2548756 3276972 3823134 4915458 5734701 7646268 9830916 11469402 17204103 22938804 34408206 68816412