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12433040 = 245155413
BaseRepresentation
bin101111011011…
…011010010000
3212101122220222
4233123122100
511140324130
61122252212
7210451634
oct57333220
925348828
1012433040
117022144
1241b7068
132764139
141918dc4
151158ce5
hexbdb690

12433040 has 20 divisors (see below), whose sum is σ = 28907004. Its totient is φ = 4973184.

The previous prime is 12433037. The next prime is 12433067. The reversal of 12433040 is 4033421.

It can be written as a sum of positive squares in 2 ways, for example, as 2598544 + 9834496 = 1612^2 + 3136^2 .

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

It is an unprimeable number.

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, 77627 + ... + 77786.

Almost surely, 212433040 is an apocalyptic number.

12433040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12433040 is an abundant number, since it is smaller than the sum of its proper divisors (16473964).

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

12433040 is a wasteful number, since it uses less digits than its factorization.

12433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155426 (or 155420 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 12433040 is about 3526.0516161849. The cubic root of 12433040 is about 231.6642984651.

Adding to 12433040 its reverse (4033421), we get a palindrome (16466461).

The spelling of 12433040 in words is "twelve million, four hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 155413 310826 621652 777065 1243304 1554130 2486608 3108260 6216520 12433040