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68384820 = 22357162821
BaseRepresentation
bin1000001001101…
…11100000110100
311202200022100010
410010313200310
5120001303240
610441420220
71460155440
oct404674064
9152608303
1068384820
1135668589
121aa9a670
13112245ba
149121820
15600c280
hex4137834

68384820 has 48 divisors (see below), whose sum is σ = 218832768. Its totient is φ = 15630720.

The previous prime is 68384759. The next prime is 68384821. The reversal of 68384820 is 2848386.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68384821) 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 15 ways as a sum of consecutive naturals, for example, 80991 + ... + 81830.

It is an arithmetic number, because the mean of its divisors is an integer number (4559016).

Almost surely, 268384820 is an apocalyptic number.

68384820 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68384820 is an abundant number, since it is smaller than the sum of its proper divisors (150447948).

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

68384820 is a wasteful number, since it uses less digits than its factorization.

68384820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162840 (or 162838 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 68384820 is about 8269.5114728743. The cubic root of 68384820 is about 408.9340145381.

The spelling of 68384820 in words is "sixty-eight million, three hundred eighty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 162821 325642 488463 651284 814105 976926 1139747 1628210 1953852 2279494 2442315 3256420 3419241 4558988 4884630 5698735 6838482 9769260 11397470 13676964 17096205 22794940 34192410 68384820