Search a number
-
+
2024141 = 72101409
BaseRepresentation
bin111101110001011001101
310210211121012
413232023031
51004233031
6111215005
723130200
oct7561315
93724535
102024141
111162849
12817465
1355b422
143a9937
1529eb2b
hex1ee2cd

2024141 has 12 divisors (see below), whose sum is σ = 2383740. Its totient is φ = 1713600.

The previous prime is 2024117. The next prime is 2024147. The reversal of 2024141 is 1414202.

2024141 = T28 + T29 + ... + T229.

It can be written as a sum of positive squares in 2 ways, for example, as 1901641 + 122500 = 1379^2 + 350^2 .

It is not a de Polignac number, because 2024141 - 210 = 2023117 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024147) 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 11 ways as a sum of consecutive naturals, for example, 4745 + ... + 5153.

It is an arithmetic number, because the mean of its divisors is an integer number (198645).

22024141 is an apocalyptic number.

It is an amenable number.

2024141 is a deficient number, since it is larger than the sum of its proper divisors (359599).

2024141 is a wasteful number, since it uses less digits than its factorization.

2024141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2024141 is about 1422.7230932265. The cubic root of 2024141 is about 126.4970081625.

Adding to 2024141 its reverse (1414202), we get a palindrome (3438343).

The spelling of 2024141 in words is "two million, twenty-four thousand, one hundred forty-one".

Divisors: 1 7 49 101 409 707 2863 4949 20041 41309 289163 2024141