Search a number
-
+
12135015 = 34519283
BaseRepresentation
bin101110010010…
…101001100111
3211211112010000
4232102221213
511101310030
61112032343
7205101024
oct56225147
924745100
1012135015
116939242
1240926b3
13268b5a9
14187c54b
1510ea860
hexb92a67

12135015 has 60 divisors (see below), whose sum is σ = 23234904. Its totient is φ = 6057504.

The previous prime is 12134999. The next prime is 12135017. The reversal of 12135015 is 51053121.

It is not a de Polignac number, because 12135015 - 24 = 12134999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12135017) 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 59 ways as a sum of consecutive naturals, for example, 146164 + ... + 146246.

Almost surely, 212135015 is an apocalyptic number.

12135015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12135015 is a deficient number, since it is larger than the sum of its proper divisors (11099889).

12135015 is an equidigital number, since it uses as much as digits as its factorization.

12135015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 12135015 is about 3483.5348426562. The cubic root of 12135015 is about 229.7982793400.

Adding to 12135015 its reverse (51053121), we get a palindrome (63188136).

The spelling of 12135015 in words is "twelve million, one hundred thirty-five thousand, fifteen".

Divisors: 1 3 5 9 15 19 27 45 57 81 83 95 135 171 249 285 361 405 415 513 747 855 1083 1245 1539 1577 1805 2241 2565 3249 3735 4731 5415 6723 7695 7885 9747 11205 14193 16245 23655 29241 29963 33615 42579 48735 70965 89889 127737 146205 149815 212895 269667 449445 638685 809001 1348335 2427003 4045005 12135015