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135413415 = 32517177011
BaseRepresentation
bin10000001001000…
…11111010100111
3100102210201021200
420010203322213
5234131212130
621234213543
73232665204
oct1004437247
9312721250
10135413415
116a48a115
12394242b3
13220927a7
1413daccab
15bd4c760
hex8123ea7

135413415 has 24 divisors (see below), whose sum is σ = 248524848. Its totient is φ = 67971840.

The previous prime is 135413413. The next prime is 135413419. The reversal of 135413415 is 514314531.

It is a happy number.

It is not a de Polignac number, because 135413415 - 21 = 135413413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135413413) 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, 87741 + ... + 89270.

It is an arithmetic number, because the mean of its divisors is an integer number (10355202).

Almost surely, 2135413415 is an apocalyptic number.

135413415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135413415 is a deficient number, since it is larger than the sum of its proper divisors (113111433).

135413415 is a wasteful number, since it uses less digits than its factorization.

135413415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177039 (or 177036 counting only the distinct ones).

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

The square root of 135413415 is about 11636.7269882901. The cubic root of 135413415 is about 513.5159020127.

Adding to 135413415 its reverse (514314531), we get a palindrome (649727946).

The spelling of 135413415 in words is "one hundred thirty-five million, four hundred thirteen thousand, four hundred fifteen".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 177011 531033 885055 1593099 2655165 3009187 7965495 9027561 15045935 27082683 45137805 135413415