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2140413 = 311371753
BaseRepresentation
bin1000001010100011111101
311000202002120
420022203331
51021443123
6113513153
724123162
oct10124375
94022076
102140413
111232140
128727b9
1359c322
143da069
152c42e3
hex20a8fd

2140413 has 16 divisors (see below), whose sum is σ = 3199296. Its totient is φ = 1261440.

The previous prime is 2140399. The next prime is 2140421. The reversal of 2140413 is 3140412.

2140413 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 2140413 - 26 = 2140349 is a prime.

It is an Ulam number.

It is a Curzon number.

2140413 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2140392 and 2140401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140013) 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, 345 + ... + 2097.

It is an arithmetic number, because the mean of its divisors is an integer number (199956).

22140413 is an apocalyptic number.

It is an amenable number.

2140413 is a deficient number, since it is larger than the sum of its proper divisors (1058883).

2140413 is a wasteful number, since it uses less digits than its factorization.

2140413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804.

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

The square root of 2140413 is about 1463.0150375167. The cubic root of 2140413 is about 128.8741636908.

Adding to 2140413 its reverse (3140412), we get a palindrome (5280825).

Subtracting 2140413 from its reverse (3140412), we obtain a palindrome (999999).

The spelling of 2140413 in words is "two million, one hundred forty thousand, four hundred thirteen".

Divisors: 1 3 11 33 37 111 407 1221 1753 5259 19283 57849 64861 194583 713471 2140413