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2141415 = 325232069
BaseRepresentation
bin1000001010110011100111
311000210110200
420022303213
51022011130
6113521543
724126123
oct10126347
94023420
102141415
111232971
128732b3
1359c913
143da583
152c4760
hex20ace7

2141415 has 24 divisors (see below), whose sum is σ = 3875040. Its totient is φ = 1091904.

The previous prime is 2141413. The next prime is 2141417. The reversal of 2141415 is 5141412.

2141415 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

2141415 is a nontrivial binomial coefficient, being equal to C(2070, 2).

It is an interprime number because it is at equal distance from previous prime (2141413) and next prime (2141417).

It is not a de Polignac number, because 2141415 - 21 = 2141413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141413) 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 23 ways as a sum of consecutive naturals, for example, 1 + ... + 2069.

It is an arithmetic number, because the mean of its divisors is an integer number (161460).

22141415 is an apocalyptic number.

2141415 is the 2069-th triangular number and also the 1035-th hexagonal number.

2141415 is a deficient number, since it is larger than the sum of its proper divisors (1733625).

2141415 is a wasteful number, since it uses less digits than its factorization.

2141415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2100 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 2141415 is about 1463.3574409556. The cubic root of 2141415 is about 128.8942706774.

Adding to 2141415 its reverse (5141412), we get a palindrome (7282827).

It can be divided in two parts, 2141 and 415, that added together give a triangular number (2556 = T71).

The spelling of 2141415 in words is "two million, one hundred forty-one thousand, four hundred fifteen".

Divisors: 1 3 5 9 15 23 45 69 115 207 345 1035 2069 6207 10345 18621 31035 47587 93105 142761 237935 428283 713805 2141415