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12804040 = 235320101
BaseRepresentation
bin110000110101…
…111111001000
3220002111211201
4300311333020
511234212130
61134233544
7213555364
oct60657710
926074751
1012804040
117255957
1243558b4
132863c72
1419b42a4
1511cdbca
hexc35fc8

12804040 has 16 divisors (see below), whose sum is σ = 28809180. Its totient is φ = 5121600.

The previous prime is 12804019. The next prime is 12804041. The reversal of 12804040 is 4040821.

It can be written as a sum of positive squares in 2 ways, for example, as 12376324 + 427716 = 3518^2 + 654^2 .

12804040 is a modest number, since divided by 4040 gives 1280 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 12803999 and 12804017.

It is not an unprimeable number, because it can be changed into a prime (12804041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 160011 + ... + 160090.

Almost surely, 212804040 is an apocalyptic number.

12804040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12804040 is an abundant number, since it is smaller than the sum of its proper divisors (16005140).

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

12804040 is a wasteful number, since it uses less digits than its factorization.

12804040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320112 (or 320108 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 12804040 is about 3578.2733266200. The cubic root of 12804040 is about 233.9460269509.

Adding to 12804040 its reverse (4040821), we get a palindrome (16844861).

It can be divided in two parts, 128040 and 40, that multiplied together give a triangular number (5121600 = T3200).

The spelling of 12804040 in words is "twelve million, eight hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 320101 640202 1280404 1600505 2560808 3201010 6402020 12804040