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68167820 = 2257319523
BaseRepresentation
bin1000001000000…
…10100010001100
311202021021200002
410010002202030
5114422332240
610433023432
71455263000
oct404024214
9152237602
1068167820
113552a546
121a9b4b78
13111798b6
1490a6700
155eb7d15
hex410288c

68167820 has 96 divisors (see below), whose sum is σ = 176064000. Its totient is φ = 22099392.

The previous prime is 68167811. The next prime is 68167823. The reversal of 68167820 is 2876186.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (68167823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130079 + ... + 130601.

It is an arithmetic number, because the mean of its divisors is an integer number (1834000).

Almost surely, 268167820 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 68167820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88032000).

68167820 is an abundant number, since it is smaller than the sum of its proper divisors (107896180).

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

68167820 is a wasteful number, since it uses less digits than its factorization.

68167820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 68167820 is about 8256.3805629343. The cubic root of 68167820 is about 408.5010105010.

The spelling of 68167820 in words is "sixty-eight million, one hundred sixty-seven thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 343 380 490 523 532 665 686 931 980 1046 1330 1372 1715 1862 2092 2615 2660 3430 3661 3724 4655 5230 6517 6860 7322 9310 9937 10460 13034 14644 18305 18620 19874 25627 26068 32585 36610 39748 49685 51254 65170 69559 73220 99370 102508 128135 130340 139118 179389 198740 256270 278236 347795 358778 486913 512540 695590 717556 896945 973826 1391180 1793890 1947652 2434565 3408391 3587780 4869130 6816782 9738260 13633564 17041955 34083910 68167820