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68028640 = 2551932203
BaseRepresentation
bin1000000111000…
…00100011100000
311202000012202021
410003200203200
5114403404030
610430031224
71454143141
oct403404340
9152005667
1068028640
1135444a19
121a948514
131112b444
14906bac8
155e8b97a
hex40e08e0

68028640 has 48 divisors (see below), whose sum is σ = 161623728. Its totient is φ = 27058176.

The previous prime is 68028629. The next prime is 68028643. The reversal of 68028640 is 4682086.

It is a junction number, because it is equal to n+sod(n) for n = 68028596 and 68028605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68028643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29779 + ... + 31981.

It is an arithmetic number, because the mean of its divisors is an integer number (3367161).

Almost surely, 268028640 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 68028640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80811864).

68028640 is an abundant number, since it is smaller than the sum of its proper divisors (93595088).

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

68028640 is a wasteful number, since it uses less digits than its factorization.

68028640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 68028640 is about 8247.9476235000. The cubic root of 68028640 is about 408.2228053850. Note that the first 3 decimals are identical.

The spelling of 68028640 in words is "sixty-eight million, twenty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 193 386 772 965 1544 1930 2203 3088 3860 4406 6176 7720 8812 11015 15440 17624 22030 30880 35248 44060 70496 88120 176240 352480 425179 850358 1700716 2125895 3401432 4251790 6802864 8503580 13605728 17007160 34014320 68028640