| Base | Representation |
|---|---|
| bin | 110001100101… |
| … | …000000100000 |
| 3 | 220110022001001 |
| 4 | 301211000200 |
| 5 | 11311343030 |
| 6 | 1142321344 |
| 7 | 215320036 |
| oct | 61450040 |
| 9 | 26408031 |
| 10 | 12996640 |
| 11 | 7377628 |
| 12 | 4429254 |
| 13 | 2900827 |
| 14 | 1a24556 |
| 15 | 121acca |
| hex | c65020 |
12996640 has 48 divisors (see below), whose sum is σ = 31774680. Its totient is φ = 5017600.
The previous prime is 12996637. The next prime is 12996647. The reversal of 12996640 is 4669921.
It can be written as a sum of positive squares in 4 ways, for example, as 10575504 + 2421136 = 3252^2 + 1556^2 .
It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.
It is a self number, because there is not a number n which added to its sum of digits gives 12996640.
It is not an unprimeable number, because it can be changed into a prime (12996647) 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 7 ways as a sum of consecutive naturals, for example, 3240 + ... + 6040.
Almost surely, 212996640 is an apocalyptic number.
12996640 is a gapful number since it is divisible by the number (10) 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 12996640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15887340).
12996640 is an abundant number, since it is smaller than the sum of its proper divisors (18778040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12996640 is a wasteful number, since it uses less digits than its factorization.
12996640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2845 (or 2837 counting only the distinct ones).
The product of its (nonzero) digits is 23328, while the sum is 37.
The square root of 12996640 is about 3605.0852971878. The cubic root of 12996640 is about 235.1132093739.
It can be divided in two parts, 129 and 96640, that added together give a palindrome (96769).
The spelling of 12996640 in words is "twelve million, nine hundred ninety-six thousand, six hundred forty".
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