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12977118 = 2337113121
BaseRepresentation
bin110001100000…
…001111011110
3220102022021000
4301200033132
511310231433
61142051130
7215206110
oct61401736
926368230
1012977118
1173639a0
124419aa6
1328c498b
141a1b3b0
151215113
hexc603de

12977118 has 64 divisors (see below), whose sum is σ = 35965440. Its totient is φ = 3369600.

The previous prime is 12977087. The next prime is 12977119. The reversal of 12977118 is 81177921.

12977118 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12977119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2598 + ... + 5718.

It is an arithmetic number, because the mean of its divisors is an integer number (561960).

Almost surely, 212977118 is an apocalyptic number.

12977118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12977118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17982720).

12977118 is an abundant number, since it is smaller than the sum of its proper divisors (22988322).

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

12977118 is a wasteful number, since it uses less digits than its factorization.

12977118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3150 (or 3144 counting only the distinct ones).

The product of its digits is 7056, while the sum is 36.

The square root of 12977118 is about 3602.3767154477. The cubic root of 12977118 is about 234.9954307245.

The spelling of 12977118 in words is "twelve million, nine hundred seventy-seven thousand, one hundred eighteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 3121 4158 6242 9363 18726 21847 28089 34331 43694 56178 65541 68662 84267 102993 131082 168534 196623 205986 240317 308979 393246 480634 589869 617958 720951 926937 1179738 1441902 1853874 2162853 4325706 6488559 12977118