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1985940 = 22325111759
BaseRepresentation
bin111100100110110010100
310201220012100
413210312110
51002022230
6110322100
722610625
oct7446624
93656170
101985940
111137080
127b9330
13546c18
14399a4c
15293660
hex1e4d94

1985940 has 144 divisors (see below), whose sum is σ = 7076160. Its totient is φ = 445440.

The previous prime is 1985939. The next prime is 1985987. The reversal of 1985940 is 495891.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1985895 and 1985904.

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 47 ways as a sum of consecutive naturals, for example, 33631 + ... + 33689.

It is an arithmetic number, because the mean of its divisors is an integer number (49140).

21985940 is an apocalyptic number.

1985940 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 1985940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080).

1985940 is an abundant number, since it is smaller than the sum of its proper divisors (5090220).

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

1985940 is a wasteful number, since it uses less digits than its factorization.

1985940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1985940 is about 1409.2338343937. The cubic root of 1985940 is about 125.6961689261.

The spelling of 1985940 in words is "one million, nine hundred eighty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 55 59 60 66 68 85 90 99 102 110 118 132 153 165 170 177 180 187 198 204 220 236 255 295 306 330 340 354 374 396 495 510 531 561 590 612 649 660 708 748 765 885 935 990 1003 1020 1062 1122 1180 1298 1530 1683 1770 1870 1947 1980 2006 2124 2244 2596 2655 2805 3009 3060 3245 3366 3540 3740 3894 4012 5015 5310 5610 5841 6018 6490 6732 7788 8415 9027 9735 10030 10620 11033 11220 11682 12036 12980 15045 16830 18054 19470 20060 22066 23364 29205 30090 33099 33660 36108 38940 44132 45135 55165 58410 60180 66198 90270 99297 110330 116820 132396 165495 180540 198594 220660 330990 397188 496485 661980 992970 1985940