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8013135 = 3513229109
BaseRepresentation
bin11110100100010101001111
3120002002221210
4132210111033
54022410020
6443425503
7125052624
oct36442517
916062853
108013135
114583429
122825293
131877400
1410c834b
15a843e0
hex7a454f

8013135 has 48 divisors (see below), whose sum is σ = 14493600. Its totient is φ = 3773952.

The previous prime is 8013121. The next prime is 8013151. The reversal of 8013135 is 5313108.

It is a happy number.

It is not a de Polignac number, because 8013135 - 24 = 8013119 is a prime.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 73461 + ... + 73569.

It is an arithmetic number, because the mean of its divisors is an integer number (301950).

Almost surely, 28013135 is an apocalyptic number.

8013135 is a deficient number, since it is larger than the sum of its proper divisors (6480465).

8013135 is a wasteful number, since it uses less digits than its factorization.

8013135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 8013135 is about 2830.7481343277. The cubic root of 8013135 is about 200.1093984823.

The spelling of 8013135 in words is "eight million, thirteen thousand, one hundred thirty-five".

Divisors: 1 3 5 13 15 29 39 65 87 109 145 169 195 327 377 435 507 545 845 1131 1417 1635 1885 2535 3161 4251 4901 5655 7085 9483 14703 15805 18421 21255 24505 41093 47415 55263 73515 92105 123279 205465 276315 534209 616395 1602627 2671045 8013135