Search a number
-
+
2420240121 = 331319596151
BaseRepresentation
bin1001000001000001…
…1110111011111001
320020200002221022000
42100100132323321
514424040140441
61040054051213
7113655462435
oct22020367371
96220087260
102420240121
111032187252
12576649b09
132c7554460
1418d60b9c5
15e27232b6
hex9041eef9

2420240121 has 64 divisors (see below), whose sum is σ = 4134144000. Its totient is φ = 1386849600.

The previous prime is 2420240107. The next prime is 2420240149. The reversal of 2420240121 is 1210420242.

2420240121 is a `hidden beast` number, since 2 + 420 + 240 + 1 + 2 + 1 = 666.

2420240121 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2420240121 - 26 = 2420240057 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2420240094 and 2420240103.

It is not an unprimeable number, because it can be changed into a prime (2420240171) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 390396 + ... + 396546.

It is an arithmetic number, because the mean of its divisors is an integer number (64596000).

Almost surely, 22420240121 is an apocalyptic number.

It is an amenable number.

2420240121 is a deficient number, since it is larger than the sum of its proper divisors (1713903879).

2420240121 is a wasteful number, since it uses less digits than its factorization.

2420240121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6251 (or 6245 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2420240121 is about 49195.9360211796. The cubic root of 2420240121 is about 1342.6190924593.

Adding to 2420240121 its reverse (1210420242), we get a palindrome (3630660363).

The spelling of 2420240121 in words is "two billion, four hundred twenty million, two hundred forty thousand, one hundred twenty-one".

Divisors: 1 3 9 13 19 27 39 57 59 117 171 177 247 351 513 531 741 767 1121 1593 2223 2301 3363 6151 6669 6903 10089 14573 18453 20709 30267 43719 55359 79963 116869 131157 166077 239889 350607 362909 393471 719667 1051821 1088727 1519297 2159001 3155463 3266181 4557891 4717817 6895271 9798543 13673673 14153451 20685813 41021019 42460353 62057439 89638523 127381059 186172317 268915569 806746707 2420240121