Search a number
-
+
27935145 = 3357241103
BaseRepresentation
bin110101010010…
…0000110101001
31221120020211000
41222210012221
524122411040
62434425213
7456305400
oct152440651
957506730
1027935145
11148500a7
129432209
135a31194
1439d2637
1526bc130
hex1aa41a9

27935145 has 96 divisors (see below), whose sum is σ = 59754240. Its totient is φ = 12337920.

The previous prime is 27935107. The next prime is 27935147. The reversal of 27935145 is 54153972.

It is not a de Polignac number, because 27935145 - 29 = 27934633 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (27935147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 271164 + ... + 271266.

It is an arithmetic number, because the mean of its divisors is an integer number (622440).

Almost surely, 227935145 is an apocalyptic number.

It is an amenable number.

27935145 is an abundant number, since it is smaller than the sum of its proper divisors (31819095).

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

27935145 is a wasteful number, since it uses less digits than its factorization.

27935145 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 digits is 37800, while the sum is 36.

The square root of 27935145 is about 5285.3708479160. The cubic root of 27935145 is about 303.4242659658.

The spelling of 27935145 in words is "twenty-seven million, nine hundred thirty-five thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 41 45 49 63 103 105 123 135 147 189 205 245 287 309 315 369 441 515 615 721 735 861 927 945 1107 1323 1435 1545 1845 2009 2163 2205 2583 2781 3605 4223 4305 4635 5047 5535 6027 6489 6615 7749 10045 10815 12669 12915 13905 15141 18081 19467 21115 25235 29561 30135 32445 38007 38745 45423 54243 63345 75705 88683 90405 97335 114021 136269 147805 190035 206927 227115 266049 271215 443415 570105 620781 681345 798147 1034635 1330245 1862343 3103905 3990735 5587029 9311715 27935145