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12115008 = 26351941
BaseRepresentation
bin101110001101…
…110001000000
3211210111200000
4232031301000
511100140013
61111400000
7204655503
oct56156100
924714600
1012115008
116925204
124083000
132682459
14187513a
1510e4973
hexb8dc40

12115008 has 168 divisors, whose sum is σ = 38831520. Its totient is φ = 3732480.

The previous prime is 12115003. The next prime is 12115013. The reversal of 12115008 is 80051121.

It is an interprime number because it is at equal distance from previous prime (12115003) and next prime (12115013).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12115003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295468 + ... + 295508.

It is an arithmetic number, because the mean of its divisors is an integer number (231140).

Almost surely, 212115008 is an apocalyptic number.

12115008 is a gapful number since it is divisible by the number (18) 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 12115008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19415760).

12115008 is an abundant number, since it is smaller than the sum of its proper divisors (26716512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12115008 is an equidigital number, since it uses as much as digits as its factorization.

12115008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 12115008 is about 3480.6620059983. The cubic root of 12115008 is about 229.6719203927.

Adding to 12115008 its reverse (80051121), we get a palindrome (92166129).

It can be divided in two parts, 121 and 15008, that added together give a square (15129 = 1232).

The spelling of 12115008 in words is "twelve million, one hundred fifteen thousand, eight".