Search a number
-
+
8207121 = 3131271657
BaseRepresentation
bin11111010011101100010001
3120102222001110
4133103230101
54100111441
6451523533
7126521316
oct37235421
916388043
108207121
1146a614a
1228b95a9
1319147b0
141138d0d
15ac1b16
hex7d3b11

8207121 has 16 divisors (see below), whose sum is σ = 11884544. Its totient is φ = 5007744.

The previous prime is 8207117. The next prime is 8207153. The reversal of 8207121 is 1217028.

8207121 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 8207121 - 22 = 8207117 is a prime.

It is a Duffinian number.

8207121 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8207161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4125 + ... + 5781.

It is an arithmetic number, because the mean of its divisors is an integer number (742784).

Almost surely, 28207121 is an apocalyptic number.

It is an amenable number.

8207121 is a deficient number, since it is larger than the sum of its proper divisors (3677423).

8207121 is a wasteful number, since it uses less digits than its factorization.

8207121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800.

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 8207121 is about 2864.8073233640. The cubic root of 8207121 is about 201.7113234287.

The spelling of 8207121 in words is "eight million, two hundred seven thousand, one hundred twenty-one".

Divisors: 1 3 13 39 127 381 1651 1657 4953 4971 21541 64623 210439 631317 2735707 8207121