Search a number
-
+
12295080 = 23325721741
BaseRepresentation
bin101110111001…
…101110101000
3212010122200100
4232321232220
511121420310
61115305400
7206335500
oct56715650
925118610
1012295080
116a38526
12414b260
1327163c5
1418c0a00
15112cec0
hexbb9ba8

12295080 has 288 divisors, whose sum is σ = 50417640. Its totient is φ = 2580480.

The previous prime is 12295067. The next prime is 12295081. The reversal of 12295080 is 8059221.

It can be written as a sum of positive squares in 4 ways, for example, as 8398404 + 3896676 = 2898^2 + 1974^2 .

It is not an unprimeable number, because it can be changed into a prime (12295081) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 299860 + ... + 299900.

Almost surely, 212295080 is an apocalyptic number.

12295080 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 12295080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25208820).

12295080 is an abundant number, since it is smaller than the sum of its proper divisors (38122560).

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

12295080 is a wasteful number, since it uses less digits than its factorization.

12295080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 12295080 is about 3506.4340860766. The cubic root of 12295080 is about 230.8042418675.

The spelling of 12295080 in words is "twelve million, two hundred ninety-five thousand, eighty".