Search a number
-
+
287105065 = 5137016301
BaseRepresentation
bin10001000111001…
…110000000101001
3202000020110002221
4101013032000221
51041444330230
644253354041
710054232002
oct2107160051
9660213087
10287105065
11138077315
1280198921
1347634670
142a1b81a9
151a31327a
hex111ce029

287105065 has 16 divisors (see below), whose sum is σ = 371616336. Its totient is φ = 211680000.

The previous prime is 287105059. The next prime is 287105069. The reversal of 287105065 is 560501782.

It can be written as a sum of positive squares in 8 ways, for example, as 5929 + 287099136 = 77^2 + 16944^2 .

It is not a de Polignac number, because 287105065 - 215 = 287072297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 287105065.

It is not an unprimeable number, because it can be changed into a prime (287105069) 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 15 ways as a sum of consecutive naturals, for example, 42415 + ... + 48715.

It is an arithmetic number, because the mean of its divisors is an integer number (23226021).

Almost surely, 2287105065 is an apocalyptic number.

It is an amenable number.

287105065 is a deficient number, since it is larger than the sum of its proper divisors (84511271).

287105065 is a wasteful number, since it uses less digits than its factorization.

287105065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7020.

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 287105065 is about 16944.1749577842. The cubic root of 287105065 is about 659.7007098784.

The spelling of 287105065 in words is "two hundred eighty-seven million, one hundred five thousand, sixty-five".

Divisors: 1 5 13 65 701 3505 6301 9113 31505 45565 81913 409565 4417001 22085005 57421013 287105065