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112727934 = 23211896397
BaseRepresentation
bin1101011100000…
…01011101111110
321212010011122200
412232001131332
5212324243214
615104052330
72536112604
oct656013576
9255104580
10112727934
11586a5190
12319040a6
131a47bc27
1410d85874
159d6ad09
hex6b8177e

112727934 has 48 divisors (see below), whose sum is σ = 269483760. Its totient is φ = 33770880.

The previous prime is 112727933. The next prime is 112727957. The reversal of 112727934 is 439727211.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112727933) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14424 + ... + 20820.

It is an arithmetic number, because the mean of its divisors is an integer number (5614245).

Almost surely, 2112727934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112727934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134741880).

112727934 is an abundant number, since it is smaller than the sum of its proper divisors (156755826).

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

112727934 is a wasteful number, since it uses less digits than its factorization.

112727934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6505 (or 6502 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 112727934 is about 10617.3411925962. The cubic root of 112727934 is about 483.0704988205.

The spelling of 112727934 in words is "one hundred twelve million, seven hundred twenty-seven thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 89 99 178 198 267 534 801 979 1602 1958 2937 5874 6397 8811 12794 17622 19191 38382 57573 70367 115146 140734 211101 422202 569333 633303 1138666 1266606 1707999 3415998 5123997 6262663 10247994 12525326 18787989 37575978 56363967 112727934