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112536738 = 23219933137
BaseRepresentation
bin1101011010100…
…10110010100010
321211202110101100
412231102302202
5212302133423
615100015230
72534355306
oct655226242
9254673340
10112536738
1158584576
1231831516
131a412bb2
1410d35d06
159d2e343
hex6b52ca2

112536738 has 24 divisors (see below), whose sum is σ = 244029708. Its totient is φ = 37481472.

The previous prime is 112536737. The next prime is 112536761. The reversal of 112536738 is 837635211.

112536738 is a `hidden beast` number, since 112 + 536 + 7 + 3 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 87104889 + 25431849 = 9333^2 + 5043^2 .

It is not an unprimeable number, because it can be changed into a prime (112536737) 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, 34306 + ... + 37442.

Almost surely, 2112536738 is an apocalyptic number.

112536738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

112536738 is an abundant number, since it is smaller than the sum of its proper divisors (131492970).

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

112536738 is a wasteful number, since it uses less digits than its factorization.

112536738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5138 (or 5135 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 112536738 is about 10608.3334223619. Note that the first 3 decimals coincide. The cubic root of 112536738 is about 482.7972349527.

The spelling of 112536738 in words is "one hundred twelve million, five hundred thirty-six thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 18 1993 3137 3986 5979 6274 9411 11958 17937 18822 28233 35874 56466 6252041 12504082 18756123 37512246 56268369 112536738