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5786120 = 2351767127
BaseRepresentation
bin10110000100101000001000
3101212222001202
4112010220020
52440123440
6324003332
7100116104
oct26045010
911788052
105786120
1132a221a
121b30548
131277852
14aa8904
15794615
hex584a08

5786120 has 64 divisors (see below), whose sum is σ = 14100480. Its totient is φ = 2128896.

The previous prime is 5786113. The next prime is 5786129. The reversal of 5786120 is 216875.

It is not an unprimeable number, because it can be changed into a prime (5786129) by changing a digit.

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, 45497 + ... + 45623.

It is an arithmetic number, because the mean of its divisors is an integer number (220320).

Almost surely, 25786120 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 5786120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7050240).

5786120 is an abundant number, since it is smaller than the sum of its proper divisors (8314360).

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

5786120 is a wasteful number, since it uses less digits than its factorization.

5786120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 5786120 is about 2405.4355115031. The cubic root of 5786120 is about 179.5267403256.

The spelling of 5786120 in words is "five million, seven hundred eighty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 67 68 85 127 134 136 170 254 268 335 340 508 536 635 670 680 1016 1139 1270 1340 2159 2278 2540 2680 4318 4556 5080 5695 8509 8636 9112 10795 11390 17018 17272 21590 22780 34036 42545 43180 45560 68072 85090 86360 144653 170180 289306 340360 578612 723265 1157224 1446530 2893060 5786120