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12128535 = 34529947
BaseRepresentation
bin101110010001…
…000100010111
3211211012020000
4232101010113
511101103120
61111542343
7205043106
oct56210427
924735200
1012128535
116934391
12408a9b3
132688663
14187a03d
1510e8990
hexb91117

12128535 has 20 divisors (see below), whose sum is σ = 21742248. Its totient is φ = 6468336.

The previous prime is 12128513. The next prime is 12128561. The reversal of 12128535 is 53582121.

It is a happy number.

12128535 is a `hidden beast` number, since 1 + 2 + 128 + 535 = 666.

It is not a de Polignac number, because 12128535 - 213 = 12120343 is a prime.

It is a super-2 number, since 2×121285352 = 294202722492450, which contains 22 as substring.

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 = 12128499 and 12128508.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 14569 + ... + 15378.

Almost surely, 212128535 is an apocalyptic number.

12128535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12128535 is a deficient number, since it is larger than the sum of its proper divisors (9613713).

12128535 is an equidigital number, since it uses as much as digits as its factorization.

12128535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29964 (or 29955 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 12128535 is about 3482.6046287226. The cubic root of 12128535 is about 229.7573685821.

The spelling of 12128535 in words is "twelve million, one hundred twenty-eight thousand, five hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 29947 89841 149735 269523 449205 808569 1347615 2425707 4042845 12128535