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68828260 = 2251929533
BaseRepresentation
bin1000001101000…
…11110001100100
311210111211121211
410012203301210
5120110001020
610455121204
71464013324
oct406436144
9153454554
1068828260
1135940766
121b073204
131134b3a7
1491d9284
15609885a
hex41a3c64

68828260 has 36 divisors (see below), whose sum is σ = 152563068. Its totient is φ = 26079552.

The previous prime is 68828237. The next prime is 68828261. The reversal of 68828260 is 6282886.

It can be written as a sum of positive squares in 2 ways, for example, as 17791524 + 51036736 = 4218^2 + 7144^2 .

It is not an unprimeable number, because it can be changed into a prime (68828261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2454 + ... + 11986.

It is an arithmetic number, because the mean of its divisors is an integer number (4237863).

Almost surely, 268828260 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 68828260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76281534).

68828260 is an abundant number, since it is smaller than the sum of its proper divisors (83734808).

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

68828260 is a wasteful number, since it uses less digits than its factorization.

68828260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9580 (or 9559 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 68828260 is about 8296.2798892034. The cubic root of 68828260 is about 409.8160189806.

The spelling of 68828260 in words is "sixty-eight million, eight hundred twenty-eight thousand, two hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1805 3610 7220 9533 19066 38132 47665 95330 181127 190660 362254 724508 905635 1811270 3441413 3622540 6882826 13765652 17207065 34414130 68828260