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1985137 = 721129127
BaseRepresentation
bin111100100101001110001
310201212002121
413210221301
51002011022
6110314241
722605400
oct7445161
93655077
101985137
111136510
127b8981
1354674b
14399637
152932c7
hex1e4a71

1985137 has 24 divisors (see below), whose sum is σ = 2626560. Its totient is φ = 1481760.

The previous prime is 1985077. The next prime is 1985167. The reversal of 1985137 is 7315891.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-1985137 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1985167) 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, 15568 + ... + 15694.

It is an arithmetic number, because the mean of its divisors is an integer number (109440).

21985137 is an apocalyptic number.

It is an amenable number.

1985137 is a deficient number, since it is larger than the sum of its proper divisors (641423).

1985137 is a wasteful number, since it uses less digits than its factorization.

1985137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 174 counting only the distinct ones).

The product of its digits is 7560, while the sum is 34.

The square root of 1985137 is about 1408.9488990024. The cubic root of 1985137 is about 125.6792252066.

It can be divided in two parts, 198 and 5137, that added together give a palindrome (5335).

The spelling of 1985137 in words is "one million, nine hundred eighty-five thousand, one hundred thirty-seven".

Divisors: 1 7 11 29 49 77 127 203 319 539 889 1397 1421 2233 3683 6223 9779 15631 25781 40513 68453 180467 283591 1985137