Search a number
-
+
3105135 = 345111741
BaseRepresentation
bin1011110110000101101111
312211202110000
423312011233
51243331020
6150315343
735251605
oct13660557
95752400
103105135
111830a30
121058b53
13849477
145ab875
15415090
hex2f616f

3105135 has 80 divisors (see below), whose sum is σ = 6586272. Its totient is φ = 1382400.

The previous prime is 3105131. The next prime is 3105143. The reversal of 3105135 is 5315013.

It is a happy number.

It is not a de Polignac number, because 3105135 - 22 = 3105131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3105131) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 75715 + ... + 75755.

Almost surely, 23105135 is an apocalyptic number.

3105135 is an abundant number, since it is smaller than the sum of its proper divisors (3481137).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3105135 is a wasteful number, since it uses less digits than its factorization.

3105135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 3105135 is about 1762.1393247981. The cubic root of 3105135 is about 145.8904382257.

It can be divided in two parts, 3105 and 135, that added together give a triangular number (3240 = T80).

The spelling of 3105135 in words is "three million, one hundred five thousand, one hundred thirty-five".

Divisors: 1 3 5 9 11 15 17 27 33 41 45 51 55 81 85 99 123 135 153 165 187 205 255 297 369 405 451 459 495 561 615 697 765 891 935 1107 1353 1377 1485 1683 1845 2091 2255 2295 2805 3321 3485 4059 4455 5049 5535 6273 6765 6885 7667 8415 10455 12177 15147 16605 18819 20295 23001 25245 31365 36531 38335 56457 60885 69003 75735 94095 115005 182655 207009 282285 345015 621027 1035045 3105135