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1985000 = 2354397
BaseRepresentation
bin111100100100111101000
310201211220112
413210213220
51002010000
6110313452
722605113
oct7444750
93654815
101985000
1111363a6
127b8888
13546674
1439957a
15293235
hex1e49e8

1985000 has 40 divisors (see below), whose sum is σ = 4662570. Its totient is φ = 792000.

The previous prime is 1984991. The next prime is 1985003. The reversal of 1985000 is 5891.

It can be written as a sum of positive squares in 5 ways, for example, as 75076 + 1909924 = 274^2 + 1382^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (1985003) 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 9 ways as a sum of consecutive naturals, for example, 4802 + ... + 5198.

21985000 is an apocalyptic number.

1985000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1985000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331285).

1985000 is an abundant number, since it is smaller than the sum of its proper divisors (2677570).

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

1985000 is an equidigital number, since it uses as much as digits as its factorization.

1985000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 1985000 is about 1408.9002803605. The cubic root of 1985000 is about 125.6763339788.

The spelling of 1985000 in words is "one million, nine hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 397 500 625 794 1000 1250 1588 1985 2500 3176 3970 5000 7940 9925 15880 19850 39700 49625 79400 99250 198500 248125 397000 496250 992500 1985000