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1084672 = 2819223
BaseRepresentation
bin100001000110100000000
32001002220001
410020310000
5234202142
635125344
712135211
oct4106400
92032801
101084672
11680a26
12443854
132bc924
14203408
151665b7
hex108d00

1084672 has 36 divisors (see below), whose sum is σ = 2289280. Its totient is φ = 511488.

The previous prime is 1084669. The next prime is 1084673. The reversal of 1084672 is 2764801.

It is a self number, because there is not a number n which added to its sum of digits gives 1084672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1084673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4753 + ... + 4975.

21084672 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 1084672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144640).

1084672 is an abundant number, since it is smaller than the sum of its proper divisors (1204608).

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

1084672 is an equidigital number, since it uses as much as digits as its factorization.

1084672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 1084672 is about 1041.4758758608. The cubic root of 1084672 is about 102.7462885650.

The spelling of 1084672 in words is "one million, eighty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 223 256 304 446 608 892 1216 1784 2432 3568 4237 4864 7136 8474 14272 16948 28544 33896 57088 67792 135584 271168 542336 1084672