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12707016 = 2337431759
BaseRepresentation
bin110000011110…
…010011001000
3212220120202020
4300132103020
511223111031
61132204440
7213002460
oct60362310
925816666
1012707016
117199a73
124309720
13282ba5a
14198aba0
1511b0096
hexc1e4c8

12707016 has 64 divisors (see below), whose sum is σ = 37171200. Its totient is φ = 3544128.

The previous prime is 12707011. The next prime is 12707047. The reversal of 12707016 is 61070721.

It is a super-2 number, since 2×127070162 = 322936511248512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12707011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6345 + ... + 8103.

It is an arithmetic number, because the mean of its divisors is an integer number (580800).

Almost surely, 212707016 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 12707016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18585600).

12707016 is an abundant number, since it is smaller than the sum of its proper divisors (24464184).

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

12707016 is a wasteful number, since it uses less digits than its factorization.

12707016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 12707016 is about 3564.6901688646. The cubic root of 12707016 is about 233.3536109362.

Adding to 12707016 its reverse (61070721), we get a palindrome (73777737).

The spelling of 12707016 in words is "twelve million, seven hundred seven thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1759 1806 2408 3518 3612 5277 7036 7224 10554 12313 14072 21108 24626 36939 42216 49252 73878 75637 98504 147756 151274 226911 295512 302548 453822 529459 605096 907644 1058918 1588377 1815288 2117836 3176754 4235672 6353508 12707016