Search a number
-
+
13590135 = 3251321787
BaseRepresentation
bin110011110101…
…111001110111
3221120110011100
4303311321313
511434341020
61203141143
7223341246
oct63657167
927513140
1013590135
117742519
1246747b3
132a7aa00
141b3a95d
1512d6a90
hexcf5e77

13590135 has 36 divisors (see below), whose sum is σ = 25521912. Its totient is φ = 6686784.

The previous prime is 13590131. The next prime is 13590139. The reversal of 13590135 is 53109531.

It is an interprime number because it is at equal distance from previous prime (13590131) and next prime (13590139).

It is not a de Polignac number, because 13590135 - 22 = 13590131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13590099 and 13590108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13590131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6712 + ... + 8498.

It is an arithmetic number, because the mean of its divisors is an integer number (708942).

Almost surely, 213590135 is an apocalyptic number.

13590135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13590135 is a deficient number, since it is larger than the sum of its proper divisors (11931777).

13590135 is a wasteful number, since it uses less digits than its factorization.

13590135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 27.

The square root of 13590135 is about 3686.4800284282. The cubic root of 13590135 is about 238.6389101522.

Adding to 13590135 its reverse (53109531), we get a palindrome (66699666).

The spelling of 13590135 in words is "thirteen million, five hundred ninety thousand, one hundred thirty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 169 195 507 585 845 1521 1787 2535 5361 7605 8935 16083 23231 26805 69693 80415 116155 209079 302003 348465 906009 1045395 1510015 2718027 4530045 13590135