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10068128 = 25726421
BaseRepresentation
bin100110011010…
…000010100000
3200221111212122
4212122002200
510034140003
6555443412
7151402100
oct46320240
920844778
1010068128
115757374
123456568
132116895
1414a1200
15d3d238
hex99a0a0

10068128 has 36 divisors (see below), whose sum is σ = 23061402. Its totient is φ = 4314240.

The previous prime is 10068127. The next prime is 10068137. The reversal of 10068128 is 82186001.

It can be written as a sum of positive squares in only one way, i.e., 9314704 + 753424 = 3052^2 + 868^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10068097 and 10068106.

It is not an unprimeable number, because it can be changed into a prime (10068127) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1643 + ... + 4778.

Almost surely, 210068128 is an apocalyptic number.

It is an amenable number.

10068128 is an abundant number, since it is smaller than the sum of its proper divisors (12993274).

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

10068128 is an equidigital number, since it uses as much as digits as its factorization.

10068128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6445 (or 6430 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 10068128 is about 3173.0313581810. The cubic root of 10068128 is about 215.9316198729.

The spelling of 10068128 in words is "ten million, sixty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 6421 12842 25684 44947 51368 89894 102736 179788 205472 314629 359576 629258 719152 1258516 1438304 2517032 5034064 10068128