Search a number
-
+
82870095 = 35711157457
BaseRepresentation
bin1001111000001…
…11111101001111
312202221020101210
410330013331033
5132203320340
612120105503
72024245530
oct474077517
9182836353
1082870095
1142861590
1223905293
1314226879
14b012687
15741e180
hex4f07f4f

82870095 has 64 divisors (see below), whose sum is σ = 166726656. Its totient is φ = 34145280.

The previous prime is 82870091. The next prime is 82870163. The reversal of 82870095 is 59007828.

It is not a de Polignac number, because 82870095 - 22 = 82870091 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82870091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 181107 + ... + 181563.

It is an arithmetic number, because the mean of its divisors is an integer number (2605104).

Almost surely, 282870095 is an apocalyptic number.

82870095 is an abundant number, since it is smaller than the sum of its proper divisors (83856561).

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

82870095 is a wasteful number, since it uses less digits than its factorization.

82870095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640.

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 82870095 is about 9103.3013242450. The cubic root of 82870095 is about 435.9793761111.

The spelling of 82870095 in words is "eighty-two million, eight hundred seventy thousand, ninety-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 157 165 231 385 457 471 785 1099 1155 1371 1727 2285 2355 3199 3297 5027 5181 5495 6855 8635 9597 12089 15081 15995 16485 25135 25905 35189 36267 47985 60445 71749 75405 105567 175945 181335 215247 358745 502243 527835 789239 1076235 1506729 2367717 2511215 3946195 5524673 7533645 11838585 16574019 27623365 82870095