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1980384 = 25372421
BaseRepresentation
bin111100011011111100000
310201121120120
413203133200
51001333014
6110240240
722555500
oct7433740
93647516
101980384
11113298a
127b6080
13544533
14397a00
15291ba9
hex1e37e0

1980384 has 72 divisors (see below), whose sum is σ = 6061608. Its totient is φ = 564480.

The previous prime is 1980383. The next prime is 1980397. The reversal of 1980384 is 4830891.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1980383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4494 + ... + 4914.

It is an arithmetic number, because the mean of its divisors is an integer number (84189).

21980384 is an apocalyptic number.

1980384 is a gapful number since it is divisible by the number (14) 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 1980384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3030804).

1980384 is an abundant number, since it is smaller than the sum of its proper divisors (4081224).

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

1980384 is a wasteful number, since it uses less digits than its factorization.

1980384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1980384 is about 1407.2611697905. The cubic root of 1980384 is about 125.5788407430.

The spelling of 1980384 in words is "one million, nine hundred eighty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 421 588 672 784 842 1176 1263 1568 1684 2352 2526 2947 3368 4704 5052 5894 6736 8841 10104 11788 13472 17682 20208 20629 23576 35364 40416 41258 47152 61887 70728 82516 94304 123774 141456 165032 247548 282912 330064 495096 660128 990192 1980384