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112108608 = 2632171072
BaseRepresentation
bin1101010111010…
…10010001000000
321210221201002200
412223222101000
5212144433413
615042513200
72530623153
oct653522100
9253851080
10112108608
1158311947
1231665800
131a2c3071
1410c63c9a
159c97573
hex6aea440

112108608 has 126 divisors (see below), whose sum is σ = 343450926. Its totient is φ = 34842624.

The previous prime is 112108597. The next prime is 112108609. The reversal of 112108608 is 806801211.

It can be written as a sum of positive squares in only one way, i.e., 105513984 + 6594624 = 10272^2 + 2568^2 .

It is not an unprimeable number, because it can be changed into a prime (112108609) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1047691 + ... + 1047797.

It is an arithmetic number, because the mean of its divisors is an integer number (2725801).

Almost surely, 2112108608 is an apocalyptic number.

112108608 is a gapful number since it is divisible by the number (18) 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 112108608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171725463).

112108608 is an abundant number, since it is smaller than the sum of its proper divisors (231342318).

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

112108608 is a wasteful number, since it uses less digits than its factorization.

112108608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 112108608 is about 10588.1352465862. The cubic root of 112108608 is about 482.1842124574.

Adding to 112108608 its reverse (806801211), we get a palindrome (918909819).

The spelling of 112108608 in words is "one hundred twelve million, one hundred eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 107 136 144 153 192 204 214 272 288 306 321 408 428 544 576 612 642 816 856 963 1088 1224 1284 1632 1712 1819 1926 2448 2568 3264 3424 3638 3852 4896 5136 5457 6848 7276 7704 9792 10272 10914 11449 14552 15408 16371 20544 21828 22898 29104 30816 32742 34347 43656 45796 58208 61632 65484 68694 87312 91592 103041 116416 130968 137388 174624 183184 194633 206082 261936 274776 349248 366368 389266 412164 523872 549552 583899 732736 778532 824328 1047744 1099104 1167798 1557064 1648656 1751697 2198208 2335596 3114128 3297312 3503394 4671192 6228256 6594624 7006788 9342384 12456512 14013576 18684768 28027152 37369536 56054304 112108608