Search a number
-
+
5678112 = 2531119283
BaseRepresentation
bin10101101010010000100000
3101200110220110
4111222100200
52423144422
6321411320
766156156
oct25522040
911613813
105678112
113229060
121a99b40
13123a63b
14a7b3d6
1577260c
hex56a420

5678112 has 96 divisors (see below), whose sum is σ = 17176320. Its totient is φ = 1624320.

The previous prime is 5678077. The next prime is 5678129. The reversal of 5678112 is 2118765.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5678112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19923 + ... + 20205.

It is an arithmetic number, because the mean of its divisors is an integer number (178920).

Almost surely, 25678112 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 5678112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8588160).

5678112 is an abundant number, since it is smaller than the sum of its proper divisors (11498208).

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

5678112 is a wasteful number, since it uses less digits than its factorization.

5678112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 318 counting only the distinct ones).

The product of its digits is 3360, while the sum is 30.

The square root of 5678112 is about 2382.8789310412. The cubic root of 5678112 is about 178.4026570284.

The spelling of 5678112 in words is "five million, six hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 132 152 176 209 228 264 283 304 352 418 456 528 566 608 627 836 849 912 1056 1132 1254 1672 1698 1824 2264 2508 3113 3344 3396 4528 5016 5377 6226 6688 6792 9056 9339 10032 10754 12452 13584 16131 18678 20064 21508 24904 27168 32262 37356 43016 49808 59147 64524 74712 86032 99616 118294 129048 149424 172064 177441 236588 258096 298848 354882 473176 516192 709764 946352 1419528 1892704 2839056 5678112