Base | Representation |
---|---|
bin | 110001100001… |
… | …001100001110 |
3 | 220102111121000 |
4 | 301201030032 |
5 | 11310343011 |
6 | 1142121130 |
7 | 215223333 |
oct | 61411416 |
9 | 26374530 |
10 | 12981006 |
11 | 7366905 |
12 | 44201a6 |
13 | 28c668c |
14 | 1a1c98a |
15 | 1216356 |
hex | c6130e |
12981006 has 64 divisors (see below), whose sum is σ = 30369600. Its totient is φ = 4105728.
The previous prime is 12980963. The next prime is 12981011. The reversal of 12981006 is 60018921.
12981006 is nontrivially palindromic in base 8.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145810 + ... + 145898.
It is an arithmetic number, because the mean of its divisors is an integer number (474525).
Almost surely, 212981006 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12981006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15184800).
12981006 is an abundant number, since it is smaller than the sum of its proper divisors (17388594).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12981006 is a wasteful number, since it uses less digits than its factorization.
12981006 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 210 (or 204 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 27.
The square root of 12981006 is about 3602.9163187618. The cubic root of 12981006 is about 235.0188969262.
Adding to 12981006 its reverse (60018921), we get a palindrome (72999927).
It can be divided in two parts, 1298 and 1006, that added together give a square (2304 = 482).
The spelling of 12981006 in words is "twelve million, nine hundred eighty-one thousand, six".
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