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5668200 = 2332524767
BaseRepresentation
bin10101100111110101101000
3101122222022100
4111213311220
52422340300
6321253400
766115236
oct25476550
911588270
105668200
11322166a
121a94260
131235c85
14a77956
1576e700
hex567d68

5668200 has 144 divisors (see below), whose sum is σ = 19730880. Its totient is φ = 1457280.

The previous prime is 5668177. The next prime is 5668211. The reversal of 5668200 is 28665.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 84567 + ... + 84633.

It is an arithmetic number, because the mean of its divisors is an integer number (137020).

Almost surely, 25668200 is an apocalyptic number.

5668200 is a gapful number since it is divisible by the number (50) 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 5668200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9865440).

5668200 is an abundant number, since it is smaller than the sum of its proper divisors (14062680).

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

5668200 is a wasteful number, since it uses less digits than its factorization.

5668200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5668200 is about 2380.7981854832. The cubic root of 5668200 is about 178.2987869923.

The spelling of 5668200 in words is "five million, six hundred sixty-eight thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 47 50 60 67 72 75 90 94 100 120 134 141 150 180 188 200 201 225 235 268 282 300 335 360 376 402 423 450 470 536 564 600 603 670 705 804 846 900 940 1005 1128 1175 1206 1340 1410 1608 1675 1692 1800 1880 2010 2115 2350 2412 2680 2820 3015 3149 3350 3384 3525 4020 4230 4700 4824 5025 5640 6030 6298 6700 7050 8040 8460 9400 9447 10050 10575 12060 12596 13400 14100 15075 15745 16920 18894 20100 21150 24120 25192 28200 28341 30150 31490 37788 40200 42300 47235 56682 60300 62980 75576 78725 84600 94470 113364 120600 125960 141705 157450 188940 226728 236175 283410 314900 377880 472350 566820 629800 708525 944700 1133640 1417050 1889400 2834100 5668200