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12803920 = 245160049
BaseRepresentation
bin110000110101…
…111101010000
3220002111200021
4300311331100
511234211140
61134233224
7213555133
oct60657520
926074607
1012803920
117255858
124355814
132863bac
1419b421a
1511cdb4a
hexc35f50

12803920 has 20 divisors (see below), whose sum is σ = 29769300. Its totient is φ = 5121536.

The previous prime is 12803909. The next prime is 12803933. The reversal of 12803920 is 2930821.

12803920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10061584 + 2742336 = 3172^2 + 1656^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 79945 + ... + 80104.

It is an arithmetic number, because the mean of its divisors is an integer number (1488465).

Almost surely, 212803920 is an apocalyptic number.

12803920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12803920 is an abundant number, since it is smaller than the sum of its proper divisors (16965380).

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

12803920 is a wasteful number, since it uses less digits than its factorization.

12803920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160062 (or 160056 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 12803920 is about 3578.2565587168. The cubic root of 12803920 is about 233.9452960979.

It can be divided in two parts, 1280 and 3920, that multiplied together give a square (5017600 = 22402).

The spelling of 12803920 in words is "twelve million, eight hundred three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 160049 320098 640196 800245 1280392 1600490 2560784 3200980 6401960 12803920