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68048820 = 223257531019
BaseRepresentation
bin1000000111001…
…01011110110100
311202001020102200
410003211132310
5114410030240
610430304500
71454256030
oct403453664
9152036380
1068048820
11354590a4
121a958130
1311137698
1490751c0
155e92930
hex40e57b4

68048820 has 144 divisors (see below), whose sum is σ = 240589440. Its totient is φ = 15245568.

The previous prime is 68048801. The next prime is 68048821. The reversal of 68048820 is 2884086.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (68048821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66271 + ... + 67289.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 268048820 is an apocalyptic number.

68048820 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 68048820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120294720).

68048820 is an abundant number, since it is smaller than the sum of its proper divisors (172540620).

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

68048820 is a wasteful number, since it uses less digits than its factorization.

68048820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 68048820 is about 8249.1708674266. The cubic root of 68048820 is about 408.2631664338.

The spelling of 68048820 in words is "sixty-eight million, forty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 53 60 63 70 84 90 105 106 126 140 159 180 210 212 252 265 315 318 371 420 477 530 630 636 742 795 954 1019 1060 1113 1260 1484 1590 1855 1908 2038 2226 2385 3057 3180 3339 3710 4076 4452 4770 5095 5565 6114 6678 7133 7420 9171 9540 10190 11130 12228 13356 14266 15285 16695 18342 20380 21399 22260 28532 30570 33390 35665 36684 42798 45855 54007 61140 64197 66780 71330 85596 91710 106995 108014 128394 142660 162021 183420 213990 216028 256788 270035 320985 324042 378049 427980 486063 540070 641970 648084 756098 810105 972126 1080140 1134147 1283940 1512196 1620210 1890245 1944252 2268294 2430315 3240420 3402441 3780490 4536588 4860630 5670735 6804882 7560980 9721260 11341470 13609764 17012205 22682940 34024410 68048820