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36140112 = 24321132221
BaseRepresentation
bin1000100111011…
…1010001010000
32112000002220200
42021313101100
533222440422
63330335200
7616120521
oct211672120
975002820
1036140112
1119444668
121012a500
1376449a8
144b2a848
15328d2ac
hex2277450

36140112 has 60 divisors (see below), whose sum is σ = 102083124. Its totient is φ = 11934720.

The previous prime is 36140077. The next prime is 36140131. The reversal of 36140112 is 21104163.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9884736 + 26255376 = 3144^2 + 5124^2 .

It is a super-2 number, since 2×361401122 = 2612215390745088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 15162 + ... + 17382.

Almost surely, 236140112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36140112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51041562).

36140112 is an abundant number, since it is smaller than the sum of its proper divisors (65943012).

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

36140112 is a wasteful number, since it uses less digits than its factorization.

36140112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 36140112 is about 6011.6646613064. The cubic root of 36140112 is about 330.6205403777.

Adding to 36140112 its reverse (21104163), we get a palindrome (57244275).

The spelling of 36140112 in words is "thirty-six million, one hundred forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2221 2712 4068 4442 5424 6663 8136 8884 13326 16272 17768 19989 26652 35536 39978 53304 79956 106608 159912 250973 319824 501946 752919 1003892 1505838 2007784 2258757 3011676 4015568 4517514 6023352 9035028 12046704 18070056 36140112