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12788240 = 245159853
BaseRepresentation
bin110000110010…
…001000010000
3220001201011112
4300302020100
511233210430
61134032452
7213461333
oct60621020
926051145
1012788240
117244aa3
124348728
132859a0a
1419ac61a
1511c9195
hexc32210

12788240 has 20 divisors (see below), whose sum is σ = 29732844. Its totient is φ = 5115264.

The previous prime is 12788239. The next prime is 12788249. The reversal of 12788240 is 4288721.

It can be written as a sum of positive squares in 2 ways, for example, as 2650384 + 10137856 = 1628^2 + 3184^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 12788197 and 12788206.

It is not an unprimeable number, because it can be changed into a prime (12788249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 79847 + ... + 80006.

Almost surely, 212788240 is an apocalyptic number.

12788240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12788240 is an abundant number, since it is smaller than the sum of its proper divisors (16944604).

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

12788240 is a wasteful number, since it uses less digits than its factorization.

12788240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159866 (or 159860 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 12788240 is about 3576.0648763690. The cubic root of 12788240 is about 233.8497586720.

The spelling of 12788240 in words is "twelve million, seven hundred eighty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 159853 319706 639412 799265 1278824 1598530 2557648 3197060 6394120 12788240