Search a number
-
+
112276112 = 2413618849
BaseRepresentation
bin1101011000100…
…11001010010000
321211021012212112
412230103022100
5212220313422
615050244452
72532221414
oct654231220
9254235775
10112276112
1158416783
1231726728
131a351390
1410ca8d44
159ccbee2
hex6b13290

112276112 has 40 divisors (see below), whose sum is σ = 238135800. Its totient is φ = 50964480.

The previous prime is 112276061. The next prime is 112276127. The reversal of 112276112 is 211672211.

It can be written as a sum of positive squares in 4 ways, for example, as 23464336 + 88811776 = 4844^2 + 9424^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8264 + ... + 17112.

It is an arithmetic number, because the mean of its divisors is an integer number (5953395).

Almost surely, 2112276112 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 112276112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119067900).

112276112 is an abundant number, since it is smaller than the sum of its proper divisors (125859688).

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

112276112 is a wasteful number, since it uses less digits than its factorization.

112276112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8931 (or 8925 counting only the distinct ones).

The product of its digits is 336, while the sum is 23.

The square root of 112276112 is about 10596.0422800213. The cubic root of 112276112 is about 482.4242403894.

The spelling of 112276112 in words is "one hundred twelve million, two hundred seventy-six thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 61 104 122 208 244 488 793 976 1586 3172 6344 8849 12688 17698 35396 70792 115037 141584 230074 460148 539789 920296 1079578 1840592 2159156 4318312 7017257 8636624 14034514 28069028 56138056 112276112