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12080880 = 2433571747
BaseRepresentation
bin101110000101…
…011011110000
3211201202212000
4232011123300
511043042010
61110534000
7204454140
oct56053360
924652760
1012080880
1169015a9
124067300
13266ca66
141866920
1510d97c0
hexb856f0

12080880 has 320 divisors, whose sum is σ = 51425280. Its totient is φ = 2543616.

The previous prime is 12080869. The next prime is 12080923. The reversal of 12080880 is 8808021.

12080880 = T210 + T211 + ... + T433.

12080880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257017 + ... + 257063.

It is an arithmetic number, because the mean of its divisors is an integer number (160704).

Almost surely, 212080880 is an apocalyptic number.

12080880 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 12080880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25712640).

12080880 is an abundant number, since it is smaller than the sum of its proper divisors (39344400).

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

12080880 is a wasteful number, since it uses less digits than its factorization.

12080880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 12080880 is about 3475.7560328654. The cubic root of 12080880 is about 229.4560554931.

The spelling of 12080880 in words is "twelve million, eighty thousand, eight hundred eighty".