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12609040 = 245277569
BaseRepresentation
bin110000000110…
…011000010000
3212201121100111
4300012120100
511211442130
61130131104
7212114023
oct60063020
925647314
1012609040
1171323a4
124280a94
1327c6292
1419631ba
15119102a
hexc06610

12609040 has 40 divisors (see below), whose sum is σ = 29473560. Its totient is φ = 5016576.

The previous prime is 12609031. The next prime is 12609043. The reversal of 12609040 is 4090621.

It can be written as a sum of positive squares in 4 ways, for example, as 20736 + 12588304 = 144^2 + 3548^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (12609043) 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 7 ways as a sum of consecutive naturals, for example, 21876 + ... + 22444.

It is an arithmetic number, because the mean of its divisors is an integer number (736839).

Almost surely, 212609040 is an apocalyptic number.

12609040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12609040 is an abundant number, since it is smaller than the sum of its proper divisors (16864520).

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

12609040 is a wasteful number, since it uses less digits than its factorization.

12609040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 12609040 is about 3550.9210072881. The cubic root of 12609040 is about 232.7523140520.

Adding to 12609040 its reverse (4090621), we get a palindrome (16699661).

The spelling of 12609040 in words is "twelve million, six hundred nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 277 554 569 1108 1138 1385 2216 2276 2770 2845 4432 4552 5540 5690 9104 11080 11380 22160 22760 45520 157613 315226 630452 788065 1260904 1576130 2521808 3152260 6304520 12609040