Search a number
-
+
65535085 = 57111721931
BaseRepresentation
bin1111100111111…
…1110001101101
311120022112020101
43321333301231
5113234110320
610300351101
71424016250
oct371776155
9146275211
1065535085
1133aa1530
1219b45491
1310767475
1489bd097
155b47c0a
hex3e7fc6d

65535085 has 96 divisors (see below), whose sum is σ = 113172480. Its totient is φ = 35251200.

The previous prime is 65535079. The next prime is 65535109. The reversal of 65535085 is 58053556.

It is not a de Polignac number, because 65535085 - 27 = 65534957 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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2114020 + ... + 2114050.

It is an arithmetic number, because the mean of its divisors is an integer number (1178880).

Almost surely, 265535085 is an apocalyptic number.

It is an amenable number.

65535085 is a deficient number, since it is larger than the sum of its proper divisors (47637395).

65535085 is a wasteful number, since it uses less digits than its factorization.

65535085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 37.

The square root of 65535085 is about 8095.3742964733. The cubic root of 65535085 is about 403.1728596104.

The spelling of 65535085 in words is "sixty-five million, five hundred thirty-five thousand, eighty-five".

Divisors: 1 5 7 11 17 19 31 35 55 77 85 95 119 133 155 187 209 217 289 323 341 385 527 589 595 665 935 1045 1085 1309 1445 1463 1615 1705 2023 2261 2387 2635 2945 3179 3553 3689 4123 5491 5797 6479 6545 7315 8959 10013 10115 11305 11935 15895 17765 18445 20615 22253 24871 27455 28985 32395 38437 40579 44795 45353 50065 60401 62713 70091 98549 110143 111265 124355 170221 192185 202895 226765 302005 313565 350455 422807 492745 550715 689843 771001 851105 1191547 1872431 2114035 3449215 3855005 5957735 9362155 13107017 65535085