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1985144 = 23735449
BaseRepresentation
bin111100100101001111000
310201212002212
413210221320
51002011034
6110314252
722605410
oct7445170
93655085
101985144
111136517
127b8988
13546755
14399640
152932ce
hex1e4a78

1985144 has 16 divisors (see below), whose sum is σ = 4254000. Its totient is φ = 850752.

The previous prime is 1985077. The next prime is 1985167. The reversal of 1985144 is 4415891.

It is a self number, because there is not a number n which added to its sum of digits gives 1985144.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 17669 + ... + 17780.

It is an arithmetic number, because the mean of its divisors is an integer number (265875).

21985144 is an apocalyptic number.

1985144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1985144 is an abundant number, since it is smaller than the sum of its proper divisors (2268856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1985144 is a wasteful number, since it uses less digits than its factorization.

1985144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35462 (or 35458 counting only the distinct ones).

The product of its digits is 5760, while the sum is 32.

The square root of 1985144 is about 1408.9513831215. The cubic root of 1985144 is about 125.6793729300.

The spelling of 1985144 in words is "one million, nine hundred eighty-five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 35449 70898 141796 248143 283592 496286 992572 1985144