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1982320 = 24571349
BaseRepresentation
bin111100011111101110000
310201201020021
413203331300
51001413240
6110253224
722564234
oct7437560
93651207
101982320
11113438a
127b7214
13545392
143985c4
1529254a
hex1e3f70

1982320 has 40 divisors (see below), whose sum is σ = 4687200. Its totient is φ = 779520.

The previous prime is 1982293. The next prime is 1982371. The reversal of 1982320 is 232891.

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5506 + ... + 5854.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

21982320 is an apocalyptic number.

1982320 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 1982320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343600).

1982320 is an abundant number, since it is smaller than the sum of its proper divisors (2704880).

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

1982320 is a wasteful number, since it uses less digits than its factorization.

1982320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 1982320 is about 1407.9488627077. The cubic root of 1982320 is about 125.6197488791.

The spelling of 1982320 in words is "one million, nine hundred eighty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 349 355 568 698 710 1136 1396 1420 1745 2792 2840 3490 5584 5680 6980 13960 24779 27920 49558 99116 123895 198232 247790 396464 495580 991160 1982320