Search a number
-
+
112776244 = 22722919841
BaseRepresentation
bin1101011100011…
…01010000110100
321212012121220221
412232031100310
5212332314434
615105104124
72536403500
oct656152064
9255177827
10112776244
1158728509
1231928044
131a497c09
1410d99300
159d7a2b4
hex6b8d434

112776244 has 36 divisors (see below), whose sum is σ = 237508740. Its totient is φ = 46663680.

The previous prime is 112776227. The next prime is 112776247. The reversal of 112776244 is 442677211.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 21344400 + 91431844 = 4620^2 + 9562^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112776247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4237 + ... + 15604.

It is an arithmetic number, because the mean of its divisors is an integer number (6597465).

Almost surely, 2112776244 is an apocalyptic number.

112776244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

112776244 is an abundant number, since it is smaller than the sum of its proper divisors (124732496).

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

112776244 is a wasteful number, since it uses less digits than its factorization.

112776244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19888 (or 19879 counting only the distinct ones).

The product of its digits is 18816, while the sum is 34.

The square root of 112776244 is about 10619.6160005906. The cubic root of 112776244 is about 483.1394962199.

The spelling of 112776244 in words is "one hundred twelve million, seven hundred seventy-six thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 812 1421 2842 5684 19841 39682 79364 138887 277774 555548 575389 972209 1150778 1944418 2301556 3888836 4027723 8055446 16110892 28194061 56388122 112776244