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1982240 = 25513953
BaseRepresentation
bin111100011111100100000
310201201010022
413203330200
51001412430
6110253012
722564061
oct7437440
93651108
101982240
111134317
127b7168
13545330
14398568
152924e5
hex1e3f20

1982240 has 48 divisors (see below), whose sum is σ = 5048568. Its totient is φ = 731136.

The previous prime is 1982219. The next prime is 1982263. The reversal of 1982240 is 422891.

It can be written as a sum of positive squares in 4 ways, for example, as 1157776 + 824464 = 1076^2 + 908^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 1604 + ... + 2556.

21982240 is an apocalyptic number.

1982240 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 1982240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2524284).

1982240 is an abundant number, since it is smaller than the sum of its proper divisors (3066328).

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

1982240 is a wasteful number, since it uses less digits than its factorization.

1982240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 1982240 is about 1407.9204522984. The cubic root of 1982240 is about 125.6180589880.

It can be divided in two parts, 1982 and 240, that added together give a palindrome (2222).

The spelling of 1982240 in words is "one million, nine hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 953 1040 1906 2080 3812 4765 7624 9530 12389 15248 19060 24778 30496 38120 49556 61945 76240 99112 123890 152480 198224 247780 396448 495560 991120 1982240