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68677020 = 223251943467
BaseRepresentation
bin1000001011111…
…10110110011100
311210020011011100
410011332312130
5120040131040
610451553100
71462513356
oct405766634
9153204140
1068677020
1135848075
121abbb790
13112c75b9
14919a0d6
156068b30
hex417ed9c

68677020 has 144 divisors (see below), whose sum is σ = 224864640. Its totient is φ = 16910208.

The previous prime is 68677019. The next prime is 68677027. The reversal of 68677020 is 2077686.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68677027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146827 + ... + 147293.

It is an arithmetic number, because the mean of its divisors is an integer number (1561560).

Almost surely, 268677020 is an apocalyptic number.

68677020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68677020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112432320).

68677020 is an abundant number, since it is smaller than the sum of its proper divisors (156187620).

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

68677020 is a wasteful number, since it uses less digits than its factorization.

68677020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 68677020 is about 8287.1599477746. The cubic root of 68677020 is about 409.5156286664.

The spelling of 68677020 in words is "sixty-eight million, six hundred seventy-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 43 45 57 60 76 86 90 95 114 129 171 172 180 190 215 228 258 285 342 380 387 430 467 516 570 645 684 774 817 855 860 934 1140 1290 1401 1548 1634 1710 1868 1935 2335 2451 2580 2802 3268 3420 3870 4085 4203 4670 4902 5604 7005 7353 7740 8170 8406 8873 9340 9804 12255 14010 14706 16340 16812 17746 20081 21015 24510 26619 28020 29412 35492 36765 40162 42030 44365 49020 53238 60243 73530 79857 80324 84060 88730 100405 106476 120486 133095 147060 159714 177460 180729 200810 240972 266190 301215 319428 361458 381539 399285 401620 532380 602430 722916 763078 798570 903645 1144617 1204860 1526156 1597140 1807290 1907695 2289234 3433851 3614580 3815390 4578468 5723085 6867702 7630780 11446170 13735404 17169255 22892340 34338510 68677020