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12812040 = 2333511863
BaseRepresentation
bin110000110111…
…111100001000
3220002220211000
4300313330020
511234441130
61134335000
7213620613
oct60677410
926086730
1012812040
11726096a
12435a460
1328677b7
1419b717a
1511d1260
hexc37f08

12812040 has 64 divisors (see below), whose sum is σ = 42710400. Its totient is φ = 3416256.

The previous prime is 12811993. The next prime is 12812057. The reversal of 12812040 is 4021821.

12812040 is digitally balanced in base 2, because in such base 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 (18).

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, 4852 + ... + 7011.

It is an arithmetic number, because the mean of its divisors is an integer number (667350).

Almost surely, 212812040 is an apocalyptic number.

12812040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12812040 is an abundant number, since it is smaller than the sum of its proper divisors (29898360).

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

12812040 is a wasteful number, since it uses less digits than its factorization.

12812040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11883 (or 11873 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 12812040 is about 3579.3910096551. The cubic root of 12812040 is about 233.9947401842.

Adding to 12812040 its reverse (4021821), we get a palindrome (16833861).

It can be divided in two parts, 1281 and 2040, that added together give a triangular number (3321 = T81).

The spelling of 12812040 in words is "twelve million, eight hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 11863 23726 35589 47452 59315 71178 94904 106767 118630 142356 177945 213534 237260 284712 320301 355890 427068 474520 533835 640602 711780 854136 1067670 1281204 1423560 1601505 2135340 2562408 3203010 4270680 6406020 12812040