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12840633 = 331336583
BaseRepresentation
bin110000111110…
…111010111001
3220011101001000
4300332322321
511241400013
61135115213
7214100151
oct60767271
926141030
1012840633
1172803a3
124372b09
132877810
1419c3761
1511d9973
hexc3eeb9

12840633 has 16 divisors (see below), whose sum is σ = 20487040. Its totient is φ = 7901712.

The previous prime is 12840631. The next prime is 12840643. The reversal of 12840633 is 33604821.

It is a happy number.

12840633 is a `hidden beast` number, since 1 + 28 + 4 + 0 + 633 = 666.

It is not a de Polignac number, because 12840633 - 21 = 12840631 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12840597 and 12840606.

It is not an unprimeable number, because it can be changed into a prime (12840631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17941 + ... + 18642.

It is an arithmetic number, because the mean of its divisors is an integer number (1280440).

Almost surely, 212840633 is an apocalyptic number.

12840633 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12840633 is a deficient number, since it is larger than the sum of its proper divisors (7646407).

12840633 is a wasteful number, since it uses less digits than its factorization.

12840633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36605 (or 36599 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 12840633 is about 3583.3828988820. The cubic root of 12840633 is about 234.1686817932.

The spelling of 12840633 in words is "twelve million, eight hundred forty thousand, six hundred thirty-three".

Divisors: 1 3 9 13 27 39 117 351 36583 109749 329247 475579 987741 1426737 4280211 12840633