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1980784 = 241389107
BaseRepresentation
bin111100011100101110000
310201122010101
413203211300
51001341114
6110242144
722556611
oct7434560
93648111
101980784
111133213
127b6354
13544780
14397c08
15291d74
hex1e3970

1980784 has 40 divisors (see below), whose sum is σ = 4218480. Its totient is φ = 895488.

The previous prime is 1980773. The next prime is 1980791. The reversal of 1980784 is 4870891.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 7.

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 7 ways as a sum of consecutive naturals, for example, 18459 + ... + 18565.

It is an arithmetic number, because the mean of its divisors is an integer number (105462).

21980784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1980784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109240).

1980784 is an abundant number, since it is smaller than the sum of its proper divisors (2237696).

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

1980784 is a wasteful number, since it uses less digits than its factorization.

1980784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 1980784 is about 1407.4032826450. The cubic root of 1980784 is about 125.5872950217.

It can be divided in two parts, 19807 and 84, that added together give a palindrome (19891).

The spelling of 1980784 in words is "one million, nine hundred eighty thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 52 89 104 107 178 208 214 356 428 712 856 1157 1391 1424 1712 2314 2782 4628 5564 9256 9523 11128 18512 19046 22256 38092 76184 123799 152368 247598 495196 990392 1980784