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5778000 = 243353107
BaseRepresentation
bin10110000010101001010000
3101212112221000
4112002221100
52434344000
6323502000
7100053324
oct26025120
911775830
105778000
113297108
121b27900
131273c47
14aa5984
15792000
hex582a50

5778000 has 160 divisors (see below), whose sum is σ = 20891520. Its totient is φ = 1526400.

The previous prime is 5777987. The next prime is 5778001. The reversal of 5778000 is 8775.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5778001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53947 + ... + 54053.

It is an arithmetic number, because the mean of its divisors is an integer number (130572).

Almost surely, 25778000 is an apocalyptic number.

5778000 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 5778000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10445760).

5778000 is an abundant number, since it is smaller than the sum of its proper divisors (15113520).

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

5778000 is a wasteful number, since it uses less digits than its factorization.

5778000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 5778000 is about 2403.7470748812. The cubic root of 5778000 is about 179.4427208916.

The spelling of 5778000 in words is "five million, seven hundred seventy-eight thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 107 108 120 125 135 144 150 180 200 214 216 225 240 250 270 300 321 360 375 400 428 432 450 500 535 540 600 642 675 720 750 856 900 963 1000 1070 1080 1125 1200 1284 1350 1500 1605 1712 1800 1926 2000 2140 2160 2250 2568 2675 2700 2889 3000 3210 3375 3600 3852 4280 4500 4815 5136 5350 5400 5778 6000 6420 6750 7704 8025 8560 9000 9630 10700 10800 11556 12840 13375 13500 14445 15408 16050 18000 19260 21400 23112 24075 25680 26750 27000 28890 32100 38520 40125 42800 46224 48150 53500 54000 57780 64200 72225 77040 80250 96300 107000 115560 120375 128400 144450 160500 192600 214000 231120 240750 288900 321000 361125 385200 481500 577800 642000 722250 963000 1155600 1444500 1926000 2889000 5778000