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2137839 = 31164783
BaseRepresentation
bin1000001001111011101111
311000121120020
420021323233
51021402324
6113453223
724112524
oct10117357
94017506
102137839
111230210
12871213
1359b0c2
143d914b
152c3679
hex209eef

2137839 has 8 divisors (see below), whose sum is σ = 3109632. Its totient is φ = 1295640.

The previous prime is 2137829. The next prime is 2137841. The reversal of 2137839 is 9387312.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2137839 - 29 = 2137327 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 64783 = 2137839 / (2 + 1 + 3 + 7 + 8 + 3 + 9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137829) 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 7 ways as a sum of consecutive naturals, for example, 32359 + ... + 32424.

It is an arithmetic number, because the mean of its divisors is an integer number (388704).

22137839 is an apocalyptic number.

2137839 is a deficient number, since it is larger than the sum of its proper divisors (971793).

2137839 is a wasteful number, since it uses less digits than its factorization.

2137839 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64797.

The product of its digits is 9072, while the sum is 33.

The square root of 2137839 is about 1462.1350826788. The cubic root of 2137839 is about 128.8224828299.

The spelling of 2137839 in words is "two million, one hundred thirty-seven thousand, eight hundred thirty-nine".

Divisors: 1 3 11 33 64783 194349 712613 2137839