Base | Representation |
---|---|
bin | 101111000100… |
… | …110100100000 |
3 | 212012222000000 |
4 | 233010310200 |
5 | 11124344022 |
6 | 1120300000 |
7 | 206615112 |
oct | 57046440 |
9 | 25188000 |
10 | 12340512 |
11 | 6a69678 |
12 | 4171600 |
13 | 2730ca2 |
14 | 18d33b2 |
15 | 113b6ac |
hex | bc4d20 |
12340512 has 126 divisors (see below), whose sum is σ = 38079027. Its totient is φ = 3934656.
The previous prime is 12340507. The next prime is 12340513. The reversal of 12340512 is 21504321.
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 can be written as a sum of positive squares in only one way, i.e., 6170256 + 6170256 = 2484^2 + 2484^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=2484.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (12340513) by changing a digit.
It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 536533 + ... + 536555.
Almost surely, 212340512 is an apocalyptic number.
12340512 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 12340512
12340512 is an abundant number, since it is smaller than the sum of its proper divisors (25738515).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12340512 is an frugal number, since it uses more digits than its factorization.
12340512 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 74 (or 28 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
The square root of 12340512 is about 3512.9064889348. The cubic root of 12340512 is about 231.0881768279.
Multiplying 12340512 by its sum of digits (18), we get a square (222129216 = 149042).
12340512 divided by its sum of digits (18) gives a square (685584 = 8282).
Adding to 12340512 its reverse (21504321), we get a palindrome (33844833).
The spelling of 12340512 in words is "twelve million, three hundred forty thousand, five hundred twelve".
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