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12835953 = 3213313539
BaseRepresentation
bin110000111101…
…110001110001
3220011010121200
4300331301301
511241222303
61135041413
7214050414
oct60756161
926133550
1012835953
117277929
124370269
132875650
1419c1b7b
1511d83a3
hexc3dc71

12835953 has 24 divisors (see below), whose sum is σ = 20616960. Its totient is φ = 7642080.

The previous prime is 12835943. The next prime is 12835961. The reversal of 12835953 is 35953821.

It is not a de Polignac number, because 12835953 - 29 = 12835441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12835943) 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 23 ways as a sum of consecutive naturals, for example, 1858 + ... + 5396.

It is an arithmetic number, because the mean of its divisors is an integer number (859040).

Almost surely, 212835953 is an apocalyptic number.

12835953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12835953 is a deficient number, since it is larger than the sum of its proper divisors (7781007).

12835953 is a wasteful number, since it uses less digits than its factorization.

12835953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3589 (or 3586 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 12835953 is about 3582.7298251473. The cubic root of 12835953 is about 234.1402293382.

The spelling of 12835953 in words is "twelve million, eight hundred thirty-five thousand, nine hundred fifty-three".

Divisors: 1 3 9 13 31 39 93 117 279 403 1209 3539 3627 10617 31851 46007 109709 138021 329127 414063 987381 1426217 4278651 12835953