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12014016 = 263721277
BaseRepresentation
bin101101110101…
…000111000000
3211121101010120
4231311013000
511033422031
61105300240
7204055200
oct55650700
924541116
1012014016
116866343
124034680
1326484b1
14184a400
1510c4a96
hexb751c0

12014016 has 84 divisors (see below), whose sum is σ = 37005768. Its totient is φ = 3429888.

The previous prime is 12014003. The next prime is 12014017. The reversal of 12014016 is 61041021.

It is a tau number, because it is divible by the number of its divisors (84).

It is a junction number, because it is equal to n+sod(n) for n = 12013986 and 12014004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12014017) by changing a digit.

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, 8770 + ... + 10046.

Almost surely, 212014016 is an apocalyptic number.

12014016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12014016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18502884).

12014016 is an abundant number, since it is smaller than the sum of its proper divisors (24991752).

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

12014016 is a wasteful number, since it uses less digits than its factorization.

12014016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 12014016 is about 3466.1240600994. The cubic root of 12014016 is about 229.0319489123.

Adding to 12014016 its reverse (61041021), we get a palindrome (73055037).

The spelling of 12014016 in words is "twelve million, fourteen thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1277 1344 1568 2352 2554 3136 3831 4704 5108 7662 8939 9408 10216 15324 17878 20432 26817 30648 35756 40864 53634 61296 62573 71512 81728 107268 122592 125146 143024 187719 214536 245184 250292 286048 375438 429072 500584 572096 750876 858144 1001168 1501752 1716288 2002336 3003504 4004672 6007008 12014016