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112727214 = 2351631423
BaseRepresentation
bin1101011100000…
…01010010101110
321212010010200000
412232001102232
5212324232324
615104045130
72536110525
oct656012256
9255103600
10112727214
11586a4696
12319037a6
131a47b7c2
1410d854bc
159d6a9c9
hex6b814ae

112727214 has 48 divisors (see below), whose sum is σ = 255021312. Its totient is φ = 37318968.

The previous prime is 112727213. The next prime is 112727227. The reversal of 112727214 is 412727211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112727213) 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 23 ways as a sum of consecutive naturals, for example, 78507 + ... + 79929.

It is an arithmetic number, because the mean of its divisors is an integer number (5312944).

Almost surely, 2112727214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112727214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127510656).

112727214 is an abundant number, since it is smaller than the sum of its proper divisors (142294098).

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

112727214 is a wasteful number, since it uses less digits than its factorization.

112727214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1591 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 112727214 is about 10617.3072857481. The cubic root of 112727214 is about 483.0694703517.

The spelling of 112727214 in words is "one hundred twelve million, seven hundred twenty-seven thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 163 243 326 486 489 978 1423 1467 2846 2934 4269 4401 8538 8802 12807 13203 25614 26406 38421 39609 76842 79218 115263 230526 231949 345789 463898 691578 695847 1391694 2087541 4175082 6262623 12525246 18787869 37575738 56363607 112727214