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1985500 = 225311192
BaseRepresentation
bin111100100101111011100
310201212121001
413210233130
51002014000
6110320044
722606426
oct7445734
93655531
101985500
111136810
127b9024
1354696a
14399816
1529346a
hex1e4bdc

1985500 has 72 divisors (see below), whose sum is σ = 4992624. Its totient is φ = 684000.

The previous prime is 1985491. The next prime is 1985509. The reversal of 1985500 is 55891.

It is an interprime number because it is at equal distance from previous prime (1985491) and next prime (1985509).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1985509) 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 23 ways as a sum of consecutive naturals, for example, 104491 + ... + 104509.

It is an arithmetic number, because the mean of its divisors is an integer number (69342).

21985500 is an apocalyptic number.

1985500 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 1985500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496312).

1985500 is an abundant number, since it is smaller than the sum of its proper divisors (3007124).

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

1985500 is a wasteful number, since it uses less digits than its factorization.

1985500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

The square root of 1985500 is about 1409.0777125482. The cubic root of 1985500 is about 125.6868852620.

It can be divided in two parts, 1985 and 500, that added together give a triangular number (2485 = T70).

The spelling of 1985500 in words is "one million, nine hundred eighty-five thousand, five hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 125 190 209 220 250 275 361 380 418 475 500 550 722 836 950 1045 1100 1375 1444 1805 1900 2090 2375 2750 3610 3971 4180 4750 5225 5500 7220 7942 9025 9500 10450 15884 18050 19855 20900 26125 36100 39710 45125 52250 79420 90250 99275 104500 180500 198550 397100 496375 992750 1985500