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12116538 = 23272337113
BaseRepresentation
bin101110001110…
…001000111010
3211210120202200
4232032020322
511100212123
61111411030
7204663120
oct56161072
924716680
1012116538
116926375
124083a76
132683065
141875910
1510e5143
hexb8e23a

12116538 has 96 divisors (see below), whose sum is σ = 32438016. Its totient is φ = 3193344.

The previous prime is 12116527. The next prime is 12116539. The reversal of 12116538 is 83561121.

12116538 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 653 + 8 = 666.

12116538 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12116539) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107170 + ... + 107282.

It is an arithmetic number, because the mean of its divisors is an integer number (337896).

Almost surely, 212116538 is an apocalyptic number.

12116538 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 12116538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16219008).

12116538 is an abundant number, since it is smaller than the sum of its proper divisors (20321478).

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

12116538 is a wasteful number, since it uses less digits than its factorization.

12116538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 185 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 12116538 is about 3480.8817848356. The cubic root of 12116538 is about 229.6815883804.

Adding to 12116538 its reverse (83561121), we get a palindrome (95677659).

The spelling of 12116538 in words is "twelve million, one hundred sixteen thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 23 37 42 46 63 69 74 111 113 126 138 161 207 222 226 259 322 333 339 414 483 518 666 678 777 791 851 966 1017 1449 1554 1582 1702 2034 2331 2373 2553 2599 2898 4181 4662 4746 5106 5198 5957 7119 7659 7797 8362 11914 12543 14238 15318 15594 17871 18193 23391 25086 29267 35742 36386 37629 46782 53613 54579 58534 75258 87801 96163 107226 109158 163737 175602 192326 263403 288489 327474 526806 576978 673141 865467 1346282 1730934 2019423 4038846 6058269 12116538