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12080240 = 2452941127
BaseRepresentation
bin101110000101…
…010001110000
3211201201222022
4232011101300
511043031430
61110531012
7204452234
oct56052160
924651868
1012080240
116901077
124066a68
13266c693
1418665c4
1510d94e5
hexb85470

12080240 has 80 divisors (see below), whose sum is σ = 29998080. Its totient is φ = 4515840.

The previous prime is 12080239. The next prime is 12080261. The reversal of 12080240 is 4208021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95057 + ... + 95183.

It is an arithmetic number, because the mean of its divisors is an integer number (374976).

Almost surely, 212080240 is an apocalyptic number.

12080240 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 12080240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).

12080240 is an abundant number, since it is smaller than the sum of its proper divisors (17917840).

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

12080240 is a wasteful number, since it uses less digits than its factorization.

12080240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 12080240 is about 3475.6639653453. The cubic root of 12080240 is about 229.4520035127.

Adding to 12080240 its reverse (4208021), we get a palindrome (16288261).

The spelling of 12080240 in words is "twelve million, eighty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 41 58 80 82 116 127 145 164 205 232 254 290 328 410 464 508 580 635 656 820 1016 1160 1189 1270 1640 2032 2320 2378 2540 3280 3683 4756 5080 5207 5945 7366 9512 10160 10414 11890 14732 18415 19024 20828 23780 26035 29464 36830 41656 47560 52070 58928 73660 83312 95120 104140 147320 151003 208280 294640 302006 416560 604012 755015 1208024 1510030 2416048 3020060 6040120 12080240