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12830535 = 335101941
BaseRepresentation
bin110000111100…
…011101000111
3220010212012000
4300330131013
511241034120
61135000343
7214025544
oct60743507
926125160
1012830535
117273853
1243690b3
132873043
1419bdbcb
1511d6990
hexc3c747

12830535 has 32 divisors (see below), whose sum is σ = 23060160. Its totient is φ = 6768000.

The previous prime is 12830513. The next prime is 12830537. The reversal of 12830535 is 53503821.

12830535 is a `hidden beast` number, since 128 + 3 + 0 + 535 = 666.

It is not a de Polignac number, because 12830535 - 26 = 12830471 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 12830499 and 12830508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12830537) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13165 + ... + 14105.

It is an arithmetic number, because the mean of its divisors is an integer number (720630).

Almost surely, 212830535 is an apocalyptic number.

12830535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12830535 is a deficient number, since it is larger than the sum of its proper divisors (10229625).

12830535 is a wasteful number, since it uses less digits than its factorization.

12830535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 12830535 is about 3581.9736179933. The cubic root of 12830535 is about 234.1072815108.

The spelling of 12830535 in words is "twelve million, eight hundred thirty thousand, five hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 101 135 303 505 909 941 1515 2727 2823 4545 4705 8469 13635 14115 25407 42345 95041 127035 285123 475205 855369 1425615 2566107 4276845 12830535