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12448107 = 3372972
BaseRepresentation
bin101111011111…
…000101101011
3212102102121000
4233133011223
511141314412
61122450043
7210543600
oct57370553
925372530
1012448107
1170324a1
124203923
13276ac59
1419206a7
15115d4dc
hexbdf16b

12448107 has 36 divisors (see below), whose sum is σ = 21675960. Its totient is φ = 7039872.

The previous prime is 12448099. The next prime is 12448151. The reversal of 12448107 is 70184421.

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.

12448107 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12448107 - 23 = 12448099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12448157) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 128283 + ... + 128379.

It is an arithmetic number, because the mean of its divisors is an integer number (602110).

Almost surely, 212448107 is an apocalyptic number.

12448107 is a deficient number, since it is larger than the sum of its proper divisors (9227853).

12448107 is an frugal number, since it uses more digits than its factorization.

12448107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 12448107 is about 3528.1874950178. The cubic root of 12448107 is about 231.7578416090.

Multiplying 12448107 by its sum of digits (27), we get a square (336098889 = 183332).

12448107 divided by its sum of digits (27) gives a square (461041 = 6792).

The spelling of 12448107 in words is "twelve million, four hundred forty-eight thousand, one hundred seven".

Divisors: 1 3 7 9 21 27 49 63 97 147 189 291 441 679 873 1323 2037 2619 4753 6111 9409 14259 18333 28227 42777 65863 84681 128331 197589 254043 461041 592767 1383123 1778301 4149369 12448107