Search a number
-
+
5585112 = 233513217
BaseRepresentation
bin10101010011100011011000
3101111202100000
4111103203120
52412210422
6315413000
765321061
oct25234330
911452300
105585112
1131751a5
121a54160
131207200
14a55568
15754cac
hex5538d8

5585112 has 144 divisors (see below), whose sum is σ = 17985240. Its totient is φ = 1617408.

The previous prime is 5585089. The next prime is 5585119. The reversal of 5585112 is 2115855.

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 (5585119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 328528 + ... + 328544.

Almost surely, 25585112 is an apocalyptic number.

5585112 is a gapful number since it is divisible by the number (52) 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 5585112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8992620).

5585112 is an abundant number, since it is smaller than the sum of its proper divisors (12400128).

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

5585112 is a wasteful number, since it uses less digits than its factorization.

5585112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 35 counting only the distinct ones).

The product of its digits is 2000, while the sum is 27.

The square root of 5585112 is about 2363.2841555767. The cubic root of 5585112 is about 177.4232902680.

The spelling of 5585112 in words is "five million, five hundred eighty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 27 34 36 39 51 52 54 68 72 78 81 102 104 108 117 136 153 156 162 169 204 216 221 234 243 306 312 324 338 351 408 442 459 468 486 507 612 648 663 676 702 884 918 936 972 1014 1053 1224 1326 1352 1377 1404 1521 1768 1836 1944 1989 2028 2106 2652 2754 2808 2873 3042 3159 3672 3978 4056 4131 4212 4563 5304 5508 5746 5967 6084 6318 7956 8262 8424 8619 9126 11016 11492 11934 12168 12636 13689 15912 16524 17238 17901 18252 22984 23868 25272 25857 27378 33048 34476 35802 36504 41067 47736 51714 53703 54756 68952 71604 77571 82134 103428 107406 109512 143208 155142 164268 206856 214812 232713 310284 328536 429624 465426 620568 698139 930852 1396278 1861704 2792556 5585112