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12966440 = 235324161
BaseRepresentation
bin110001011101…
…101000101000
3220101202121112
4301131220220
511304411230
61141525452
7215133014
oct61355050
926352545
1012966440
117356973
124413888
1328bcb66
141a17544
151211d95
hexc5da28

12966440 has 16 divisors (see below), whose sum is σ = 29174580. Its totient is φ = 5186560.

The previous prime is 12966439. The next prime is 12966449. The reversal of 12966440 is 4466921.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11930116 + 1036324 = 3454^2 + 1018^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12966397 and 12966406.

It is not an unprimeable number, because it can be changed into a prime (12966449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 162041 + ... + 162120.

Almost surely, 212966440 is an apocalyptic number.

12966440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12966440 is an abundant number, since it is smaller than the sum of its proper divisors (16208140).

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

12966440 is a wasteful number, since it uses less digits than its factorization.

12966440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324172 (or 324168 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 12966440 is about 3600.8943333566. The cubic root of 12966440 is about 234.9309590454.

The spelling of 12966440 in words is "twelve million, nine hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 324161 648322 1296644 1620805 2593288 3241610 6483220 12966440