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1082984 = 23783233
BaseRepresentation
bin100001000011001101000
32001000120112
410020121220
5234123414
635113452
712130250
oct4103150
92030515
101082984
1167a731
12442888
132bbc26
14202960
15165d3e
hex108668

1082984 has 32 divisors (see below), whose sum is σ = 2358720. Its totient is φ = 456576.

The previous prime is 1082971. The next prime is 1082989. The reversal of 1082984 is 4892801.

It is a happy number.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1082984.

It is not an unprimeable number, because it can be changed into a prime (1082989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4532 + ... + 4764.

It is an arithmetic number, because the mean of its divisors is an integer number (73710).

21082984 is an apocalyptic number.

1082984 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 1082984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179360).

1082984 is an abundant number, since it is smaller than the sum of its proper divisors (1275736).

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

1082984 is a wasteful number, since it uses less digits than its factorization.

1082984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 1082984 is about 1040.6651718973. The cubic root of 1082984 is about 102.6929619121.

The spelling of 1082984 in words is "one million, eighty-two thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 56 83 166 233 332 466 581 664 932 1162 1631 1864 2324 3262 4648 6524 13048 19339 38678 77356 135373 154712 270746 541492 1082984