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5768820 = 223551187
BaseRepresentation
bin10110000000011001110100
3101212002100000
4112000121310
52434100240
6323351300
7100014501
oct26003164
911762300
105768820
113290222
121b22530
13126ca05
14aa24a8
1578e430
hex580674

5768820 has 72 divisors (see below), whose sum is σ = 18162144. Its totient is φ = 1537056.

The previous prime is 5768809. The next prime is 5768857. The reversal of 5768820 is 288675.

5768820 is a `hidden beast` number, since 576 + 8 + 82 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4267 + ... + 5453.

It is an arithmetic number, because the mean of its divisors is an integer number (252252).

Almost surely, 25768820 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 5768820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9081072).

5768820 is an abundant number, since it is smaller than the sum of its proper divisors (12393324).

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

5768820 is a wasteful number, since it uses less digits than its factorization.

5768820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5768820 is about 2401.8367971201. The cubic root of 5768820 is about 179.3476385481.

The spelling of 5768820 in words is "five million, seven hundred sixty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1187 1215 1620 2374 2430 3561 4748 4860 5935 7122 10683 11870 14244 17805 21366 23740 32049 35610 42732 53415 64098 71220 96147 106830 128196 160245 192294 213660 288441 320490 384588 480735 576882 640980 961470 1153764 1442205 1922940 2884410 5768820