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112187088 = 24321359929
BaseRepresentation
bin1101010111111…
…01011011010000
321211002200202100
412223331123100
5212204441323
615044320400
72531401026
oct653753320
9254080670
10112187088
1158365902
12316a3100
131a31c9c0
1410c84716
159cb0943
hex6afd6d0

112187088 has 60 divisors (see below), whose sum is σ = 338125060. Its totient is φ = 34518528.

The previous prime is 112187083. The next prime is 112187107. The reversal of 112187088 is 880781211.

It can be written as a sum of positive squares in 2 ways, for example, as 12027024 + 100160064 = 3468^2 + 10008^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112187083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28093 + ... + 31836.

Almost surely, 2112187088 is an apocalyptic number.

112187088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

112187088 is an abundant number, since it is smaller than the sum of its proper divisors (225937972).

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

112187088 is a wasteful number, since it uses less digits than its factorization.

112187088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59956 (or 59947 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

The square root of 112187088 is about 10591.8406332422. The cubic root of 112187088 is about 482.2967015603.

It can be divided in two parts, 1121 and 87088, that added together give a square (88209 = 2972).

The spelling of 112187088 in words is "one hundred twelve million, one hundred eighty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 59929 119858 179787 239716 359574 479432 539361 719148 779077 958864 1078722 1438296 1558154 2157444 2337231 2876592 3116308 4314888 4674462 6232616 7011693 8629776 9348924 12465232 14023386 18697848 28046772 37395696 56093544 112187088