Search a number
-
+
8151 = 3111319
BaseRepresentation
bin1111111010111
3102011220
41333113
5230101
6101423
732523
oct17727
912156
108151
116140
124873
133930
142d83
152636
hex1fd7

8151 has 16 divisors (see below), whose sum is σ = 13440. Its totient is φ = 4320.

The previous prime is 8147. The next prime is 8161. The reversal of 8151 is 1518.

It is a happy number.

8151 is nontrivially palindromic in base 7.

8151 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8151 - 22 = 8147 is a prime.

8151 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 8151.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8151.

It is not an unprimeable number, because it can be changed into a prime (8101) 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, 420 + ... + 438.

It is an arithmetic number, because the mean of its divisors is an integer number (840).

8151 is a deficient number, since it is larger than the sum of its proper divisors (5289).

8151 is a wasteful number, since it uses less digits than its factorization.

8151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46.

The product of its digits is 40, while the sum is 15.

The square root of 8151 is about 90.2828887442. The cubic root of 8151 is about 20.1250498308.

Multiplying 8151 by its sum of digits (15), we get a triangular number (122265 = T494).

Adding to 8151 its reverse (1518), we get a palindrome (9669).

The spelling of 8151 in words is "eight thousand, one hundred fifty-one".

Divisors: 1 3 11 13 19 33 39 57 143 209 247 429 627 741 2717 8151