Search a number
-
+
112489328 = 24731179181
BaseRepresentation
bin1101011010001…
…11001101110000
321211200001100102
412231013031300
5212244124303
615055011532
72534100140
oct655071560
9254601312
10112489328
1158551996
1231809ba8
131a3c7443
1410d22920
159d20288
hex6b47370

112489328 has 80 divisors (see below), whose sum is σ = 259983360. Its totient is φ = 46137600.

The previous prime is 112489301. The next prime is 112489337. The reversal of 112489328 is 823984211.

It is a junction number, because it is equal to n+sod(n) for n = 112489291 and 112489300.

It is a congruent number.

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, 621398 + ... + 621578.

It is an arithmetic number, because the mean of its divisors is an integer number (3249792).

Almost surely, 2112489328 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 112489328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129991680).

112489328 is an abundant number, since it is smaller than the sum of its proper divisors (147494032).

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

112489328 is a wasteful number, since it uses less digits than its factorization.

112489328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 400 counting only the distinct ones).

The product of its digits is 27648, while the sum is 38.

The square root of 112489328 is about 10606.0986229622. The cubic root of 112489328 is about 482.7294270753.

The spelling of 112489328 in words is "one hundred twelve million, four hundred eighty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 179 181 217 248 358 362 434 496 716 724 868 1253 1267 1432 1448 1736 2506 2534 2864 2896 3472 5012 5068 5549 5611 10024 10136 11098 11222 20048 20272 22196 22444 32399 38843 39277 44392 44888 64798 77686 78554 88784 89776 129596 155372 157108 226793 259192 310744 314216 453586 518384 621488 628432 907172 1004369 1814344 2008738 3628688 4017476 7030583 8034952 14061166 16069904 28122332 56244664 112489328