Base | Representation |
---|---|
bin | 101111000111… |
… | …110010000000 |
3 | 212020120122012 |
4 | 233013302000 |
5 | 11130241030 |
6 | 1120432052 |
7 | 206665346 |
oct | 57076200 |
9 | 25216565 |
10 | 12352640 |
11 | 6a777a3 |
12 | 4178628 |
13 | 2736671 |
14 | 18d7996 |
15 | 1140095 |
hex | bc7c80 |
12352640 has 32 divisors (see below), whose sum is σ = 29532060. Its totient is φ = 4940800.
The previous prime is 12352631. The next prime is 12352649. The reversal of 12352640 is 4625321.
It is an interprime number because it is at equal distance from previous prime (12352631) and next prime (12352649).
It can be written as a sum of positive squares in 2 ways, for example, as 12334144 + 18496 = 3512^2 + 136^2 .
It is a tau number, because it is divible by the number of its divisors (32).
It is a super-3 number, since 3×123526403 (a number of 22 digits) contains 333 as substring.
It is not an unprimeable number, because it can be changed into a prime (12352649) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9011 + ... + 10290.
Almost surely, 212352640 is an apocalyptic number.
12352640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
12352640 is an abundant number, since it is smaller than the sum of its proper divisors (17179420).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12352640 is an equidigital number, since it uses as much as digits as its factorization.
12352640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19320 (or 19308 counting only the distinct ones).
The product of its (nonzero) digits is 1440, while the sum is 23.
The square root of 12352640 is about 3514.6322709496. The cubic root of 12352640 is about 231.1638549355.
Adding to 12352640 its reverse (4625321), we get a palindrome (16977961).
The spelling of 12352640 in words is "twelve million, three hundred fifty-two thousand, six hundred forty".
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