Search a number
-
+
112240656 = 243211591201
BaseRepresentation
bin1101011000010…
…10100000010000
321211012102020100
412230022200100
5212213200111
615045412400
72532013143
oct654124020
9254172210
10112240656
11583a2080
123170a100
131a33b1b8
1410c9a05a
159cc1756
hex6b0a810

112240656 has 120 divisors (see below), whose sum is σ = 348772320. Its totient is φ = 33408000.

The previous prime is 112240649. The next prime is 112240663. The reversal of 112240656 is 656042211.

112240656 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 4 + 0 + 656 = 666.

It is an interprime number because it is at equal distance from previous prime (112240649) and next prime (112240663).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92856 + ... + 94056.

It is an arithmetic number, because the mean of its divisors is an integer number (2906436).

Almost surely, 2112240656 is an apocalyptic number.

112240656 is a gapful number since it is divisible by the number (16) 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 112240656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174386160).

112240656 is an abundant number, since it is smaller than the sum of its proper divisors (236531664).

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

112240656 is a wasteful number, since it uses less digits than its factorization.

112240656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 112240656 is about 10594.3690704072. The cubic root of 112240656 is about 482.3734529916.

Adding to 112240656 its reverse (656042211), we get a palindrome (768282867).

It can be divided in two parts, 112240 and 656, that added together give a square (112896 = 3362).

The spelling of 112240656 in words is "one hundred twelve million, two hundred forty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 59 66 72 88 99 118 132 144 176 177 198 236 264 354 396 472 528 531 649 708 792 944 1062 1201 1298 1416 1584 1947 2124 2402 2596 2832 3603 3894 4248 4804 5192 5841 7206 7788 8496 9608 10384 10809 11682 13211 14412 15576 19216 21618 23364 26422 28824 31152 39633 43236 46728 52844 57648 70859 79266 86472 93456 105688 118899 141718 158532 172944 211376 212577 237798 283436 317064 425154 475596 566872 634128 637731 779449 850308 951192 1133744 1275462 1558898 1700616 1902384 2338347 2550924 3117796 3401232 4676694 5101848 6235592 7015041 9353388 10203696 12471184 14030082 18706776 28060164 37413552 56120328 112240656