Base | Representation |
---|---|
bin | 101111101001… |
… | …010100010000 |
3 | 212111120001121 |
4 | 233221110100 |
5 | 11144140000 |
6 | 1123412024 |
7 | 211106665 |
oct | 57512420 |
9 | 25446047 |
10 | 12490000 |
11 | 7060a16 |
12 | 4224014 |
13 | 2784043 |
14 | 1931a6c |
15 | 116ab1a |
hex | be9510 |
12490000 has 50 divisors (see below), whose sum is σ = 30263750. Its totient is φ = 4992000.
The previous prime is 12489991. The next prime is 12490001. The reversal of 12490000 is 9421.
It can be written as a sum of positive squares in 5 ways, for example, as 5456896 + 7033104 = 2336^2 + 2652^2 .
It is a tau number, because it is divible by the number of its divisors (50).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12490001) 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 9 ways as a sum of consecutive naturals, for example, 9376 + ... + 10624.
It is an arithmetic number, because the mean of its divisors is an integer number (605275).
Almost surely, 212490000 is an apocalyptic number.
12490000 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 12490000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15131875).
12490000 is an abundant number, since it is smaller than the sum of its proper divisors (17773750).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12490000 is an equidigital number, since it uses as much as digits as its factorization.
12490000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1277 (or 1256 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 16.
The square root of 12490000 is about 3534.1194094145. The cubic root of 12490000 is about 232.0175373188.
12490000 divided by its sum of digits (16) gives a triangular number (780625 = T1249).
Adding to 12490000 its reverse (9421), we get a palindrome (12499421).
The spelling of 12490000 in words is "twelve million, four hundred ninety thousand".
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