| Base | Representation |
|---|---|
| bin | 110000100111… |
| … | …000111100000 |
| 3 | 212222102022000 |
| 4 | 300213013200 |
| 5 | 11230240021 |
| 6 | 1133044000 |
| 7 | 213213000 |
| oct | 60470740 |
| 9 | 25872260 |
| 10 | 12743136 |
| 11 | 721411a |
| 12 | 4326600 |
| 13 | 2842323 |
| 14 | 199a000 |
| 15 | 11bab26 |
| hex | c271e0 |
12743136 has 192 divisors, whose sum is σ = 44352000. Its totient is φ = 3556224.
The previous prime is 12743131. The next prime is 12743141. The reversal of 12743136 is 63134721.
It is an interprime number because it is at equal distance from previous prime (12743131) and next prime (12743141).
It is a super-2 number, since 2×127431362 = 324775030228992, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12743131) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296331 + ... + 296373.
It is an arithmetic number, because the mean of its divisors is an integer number (231000).
Almost surely, 212743136 is an apocalyptic number.
12743136 is a gapful number since it is divisible by the number (16) 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 12743136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22176000).
12743136 is an abundant number, since it is smaller than the sum of its proper divisors (31608864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12743136 is an equidigital number, since it uses as much as digits as its factorization.
12743136 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 83 (or 55 counting only the distinct ones).
The product of its digits is 3024, while the sum is 27.
The square root of 12743136 is about 3569.7529326271. The cubic root of 12743136 is about 233.5745061939.
Adding to 12743136 its reverse (63134721), we get a palindrome (75877857).
The spelling of 12743136 in words is "twelve million, seven hundred forty-three thousand, one hundred thirty-six".
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