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5786880 = 283511137
BaseRepresentation
bin10110000100110100000000
3101220000002220
4112010310000
52440140010
6324011040
7100121241
oct26046400
911800086
105786880
1132a2850
121b30a80
131277cb8
14aa8cc8
15794970
hex584d00

5786880 has 144 divisors (see below), whose sum is σ = 20309184. Its totient is φ = 1392640.

The previous prime is 5786867. The next prime is 5786899. The reversal of 5786880 is 886875.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42172 + ... + 42308.

It is an arithmetic number, because the mean of its divisors is an integer number (141036).

Almost surely, 25786880 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 5786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10154592).

5786880 is an abundant number, since it is smaller than the sum of its proper divisors (14522304).

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

5786880 is a wasteful number, since it uses less digits than its factorization.

5786880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 5786880 is about 2405.5934818668. The cubic root of 5786880 is about 179.5346001896.

It can be divided in two parts, 5786 and 880, that added together give a palindrome (6666).

The spelling of 5786880 in words is "five million, seven hundred eighty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 137 160 165 176 192 220 240 256 264 274 320 330 352 384 411 440 480 528 548 640 660 685 704 768 822 880 960 1056 1096 1280 1320 1370 1408 1507 1644 1760 1920 2055 2112 2192 2640 2740 2816 3014 3288 3520 3840 4110 4224 4384 4521 5280 5480 6028 6576 7040 7535 8220 8448 8768 9042 10560 10960 12056 13152 14080 15070 16440 17536 18084 21120 21920 22605 24112 26304 30140 32880 35072 36168 42240 43840 45210 48224 52608 60280 65760 72336 87680 90420 96448 105216 120560 131520 144672 175360 180840 192896 241120 263040 289344 361680 385792 482240 526080 578688 723360 964480 1157376 1446720 1928960 2893440 5786880