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12684105 = 325767601
BaseRepresentation
bin110000011000…
…101101001001
3212212102022200
4300120231021
511221342410
61131510413
7212545620
oct60305511
925772280
1012684105
117183835
1242b8409
1328214b5
1419826b7
1511a83c0
hexc18b49

12684105 has 48 divisors (see below), whose sum is σ = 25544064. Its totient is φ = 5702400.

The previous prime is 12684103. The next prime is 12684127. The reversal of 12684105 is 50148621.

It is not a de Polignac number, because 12684105 - 21 = 12684103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12684103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20805 + ... + 21405.

It is an arithmetic number, because the mean of its divisors is an integer number (532168).

Almost surely, 212684105 is an apocalyptic number.

12684105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12684105 is an abundant number, since it is smaller than the sum of its proper divisors (12859959).

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

12684105 is a wasteful number, since it uses less digits than its factorization.

12684105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 12684105 is about 3561.4751157351. The cubic root of 12684105 is about 233.2132795108.

The spelling of 12684105 in words is "twelve million, six hundred eighty-four thousand, one hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 67 105 201 315 335 469 601 603 1005 1407 1803 2345 3005 3015 4207 4221 5409 7035 9015 12621 21035 21105 27045 37863 40267 63105 120801 189315 201335 281869 362403 604005 845607 1409345 1812015 2536821 4228035 12684105