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5778080 = 255721167
BaseRepresentation
bin10110000010101010100000
3101212120000222
4112002222200
52434344310
6323502212
7100053500
oct26025240
911776028
105778080
113297180
121b27968
131273ca9
14aa5a00
15792055
hex582aa0

5778080 has 144 divisors (see below), whose sum is σ = 17581536. Its totient is φ = 1774080.

The previous prime is 5778077. The next prime is 5778137. The reversal of 5778080 is 808775.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 5778080.

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, 86207 + ... + 86273.

It is an arithmetic number, because the mean of its divisors is an integer number (122094).

Almost surely, 25778080 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 5778080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8790768).

5778080 is an abundant number, since it is smaller than the sum of its proper divisors (11803456).

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

5778080 is a wasteful number, since it uses less digits than its factorization.

5778080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 35.

The square root of 5778080 is about 2403.7637155095. The cubic root of 5778080 is about 179.4435490531.

The spelling of 5778080 in words is "five million, seven hundred seventy-eight thousand, eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 49 55 56 67 70 77 80 88 98 110 112 134 140 154 160 176 196 220 224 245 268 280 308 335 352 385 392 440 469 490 536 539 560 616 670 737 770 784 880 938 980 1072 1078 1120 1232 1340 1474 1540 1568 1760 1876 1960 2144 2156 2345 2464 2680 2695 2948 3080 3283 3685 3752 3920 4312 4690 5159 5360 5390 5896 6160 6566 7370 7504 7840 8624 9380 10318 10720 10780 11792 12320 13132 14740 15008 16415 17248 18760 20636 21560 23584 25795 26264 29480 32830 36113 37520 41272 43120 51590 52528 58960 65660 72226 75040 82544 86240 103180 105056 117920 131320 144452 165088 180565 206360 262640 288904 361130 412720 525280 577808 722260 825440 1155616 1444520 2889040 5778080