Search a number
-
+
5785668 = 223472551
BaseRepresentation
bin10110000100100001000100
3101212221110000
4112010201010
52440120133
6324001300
7100114560
oct26044104
911787400
105785668
1132a1949
121b30230
131277595
14aa86a0
15794413
hex584844

5785668 has 60 divisors (see below), whose sum is σ = 17292352. Its totient is φ = 1652400.

The previous prime is 5785657. The next prime is 5785669. The reversal of 5785668 is 8665875.

5785668 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (5785669) 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 19 ways as a sum of consecutive naturals, for example, 993 + ... + 3543.

Almost surely, 25785668 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 5785668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8646176).

5785668 is an abundant number, since it is smaller than the sum of its proper divisors (11506684).

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

5785668 is a wasteful number, since it uses less digits than its factorization.

5785668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2563 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 5785668 is about 2405.3415557879. The cubic root of 5785668 is about 179.5220654485.

The spelling of 5785668 in words is "five million, seven hundred eighty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 2551 5102 7653 10204 15306 17857 22959 30612 35714 45918 53571 68877 71428 91836 107142 137754 160713 206631 214284 275508 321426 413262 482139 642852 826524 964278 1446417 1928556 2892834 5785668