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68806820 = 225171571289
BaseRepresentation
bin1000001100111…
…10100010100100
311210110202012202
410012132202210
5120103304240
610454434032
71463563655
oct406364244
9153422182
1068806820
1135926645
121b062918
13113416c4
1491d152c
156092315
hex419e8a4

68806820 has 48 divisors (see below), whose sum is σ = 154087920. Its totient is φ = 25718784.

The previous prime is 68806819. The next prime is 68806831. The reversal of 68806820 is 2860886.

It can be written as a sum of positive squares in 8 ways, for example, as 1304164 + 67502656 = 1142^2 + 8216^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 52736 + ... + 54024.

It is an arithmetic number, because the mean of its divisors is an integer number (3210165).

Almost surely, 268806820 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 68806820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77043960).

68806820 is an abundant number, since it is smaller than the sum of its proper divisors (85281100).

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

68806820 is a wasteful number, since it uses less digits than its factorization.

68806820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 68806820 is about 8294.9876431493. The cubic root of 68806820 is about 409.7734620041.

The spelling of 68806820 in words is "sixty-eight million, eight hundred six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 157 170 314 340 628 785 1289 1570 2578 2669 3140 5156 5338 6445 10676 12890 13345 21913 25780 26690 43826 53380 87652 109565 202373 219130 404746 438260 809492 1011865 2023730 3440341 4047460 6880682 13761364 17201705 34403410 68806820