Base | Representation |
---|---|
bin | 110001000110… |
… | …000001010000 |
3 | 220012211221000 |
4 | 301012001100 |
5 | 11243312322 |
6 | 1135502000 |
7 | 214251012 |
oct | 61060120 |
9 | 26184830 |
10 | 12869712 |
11 | 72a0229 |
12 | 4387900 |
13 | 2887b1b |
14 | 19d01b2 |
15 | 11e33ac |
hex | c46050 |
12869712 has 80 divisors (see below), whose sum is σ = 38172160. Its totient is φ = 4151520.
The previous prime is 12869699. The next prime is 12869713. The reversal of 12869712 is 21796821.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a Harshad number since it is a multiple of its sum of digits (36).
Its product of digits (12096) is a multiple of the sum of its prime divisors (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12869713) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415137 + ... + 415167.
It is an arithmetic number, because the mean of its divisors is an integer number (477152).
Almost surely, 212869712 is an apocalyptic number.
12869712 is a gapful number since it is divisible by the number (12) 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 12869712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19086080).
12869712 is an abundant number, since it is smaller than the sum of its proper divisors (25302448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12869712 is an frugal number, since it uses more digits than its factorization.
12869712 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 110 (or 36 counting only the distinct ones).
The product of its digits is 12096, while the sum is 36.
The square root of 12869712 is about 3587.4380830894. The cubic root of 12869712 is about 234.3453152804.
The spelling of 12869712 in words is "twelve million, eight hundred sixty-nine thousand, seven hundred twelve".
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