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2430141 = 37971193
BaseRepresentation
bin1001010001010010111101
311120110112020
421101102331
51110231031
6124030353
726440650
oct11212275
94513466
102430141
11140a88a
129923b9
1367116c
14473897
15330096
hex2514bd

2430141 has 16 divisors (see below), whose sum is σ = 3744384. Its totient is φ = 1373184.

The previous prime is 2430139. The next prime is 2430149. The reversal of 2430141 is 1410342.

2430141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2430141 - 21 = 2430139 is a prime.

2430141 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2430141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430149) 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, 1441 + ... + 2633.

It is an arithmetic number, because the mean of its divisors is an integer number (234024).

22430141 is an apocalyptic number.

2430141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2430141 is a deficient number, since it is larger than the sum of its proper divisors (1314243).

2430141 is a wasteful number, since it uses less digits than its factorization.

2430141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2430141 is about 1558.8909519270. The cubic root of 2430141 is about 134.4447426677. Note that the first 3 decimals are identical.

Adding to 2430141 its reverse (1410342), we get a palindrome (3840483).

It can be divided in two parts, 24301 and 41, that added together give a palindrome (24342).

The spelling of 2430141 in words is "two million, four hundred thirty thousand, one hundred forty-one".

Divisors: 1 3 7 21 97 291 679 1193 2037 3579 8351 25053 115721 347163 810047 2430141