Base | Representation |
---|---|
bin | 110000011011… |
… | …000011110000 |
3 | 212212220112200 |
4 | 300123003300 |
5 | 11222144434 |
6 | 1132023200 |
7 | 212616000 |
oct | 60330360 |
9 | 25786480 |
10 | 12693744 |
11 | 718aaa8 |
12 | 4301b00 |
13 | 28259bb |
14 | 1986000 |
15 | 11ab199 |
hex | c1b0f0 |
12693744 has 120 divisors (see below), whose sum is σ = 41589600. Its totient is φ = 3612672.
The previous prime is 12693743. The next prime is 12693749. The reversal of 12693744 is 44739621.
It is a super-2 number, since 2×126937442 = 322262273475072, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 12693699 and 12693708.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12693743) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49264 + ... + 49520.
It is an arithmetic number, because the mean of its divisors is an integer number (346580).
Almost surely, 212693744 is an apocalyptic number.
12693744 is a gapful number since it is divisible by the number (14) 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 12693744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20794800).
12693744 is an abundant number, since it is smaller than the sum of its proper divisors (28895856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12693744 is a wasteful number, since it uses less digits than its factorization.
12693744 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 292 (or 269 counting only the distinct ones).
The product of its digits is 36288, while the sum is 36.
The square root of 12693744 is about 3562.8280901553. The cubic root of 12693744 is about 233.2723396131.
The spelling of 12693744 in words is "twelve million, six hundred ninety-three thousand, seven hundred forty-four".
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