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2821056 = 26372099
BaseRepresentation
bin1010110000101111000000
312022022202120
422300233000
51210233211
6140244240
732656440
oct12605700
95268676
102821056
111657557
12b40680
1377a084
14536120
153aad06
hex2b0bc0

2821056 has 56 divisors (see below), whose sum is σ = 8534400. Its totient is φ = 805632.

The previous prime is 2821009. The next prime is 2821057. The reversal of 2821056 is 6501282.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2821057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 295 + ... + 2393.

It is an arithmetic number, because the mean of its divisors is an integer number (152400).

22821056 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 2821056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4267200).

2821056 is an abundant number, since it is smaller than the sum of its proper divisors (5713344).

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

2821056 is a wasteful number, since it uses less digits than its factorization.

2821056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2821056 is about 1679.5999523696. The cubic root of 2821056 is about 141.2983972824.

It can be divided in two parts, 282 and 1056, that multiplied together give a palindrome (297792).

The spelling of 2821056 in words is "two million, eight hundred twenty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 2099 4198 6297 8396 12594 14693 16792 25188 29386 33584 44079 50376 58772 67168 88158 100752 117544 134336 176316 201504 235088 352632 403008 470176 705264 940352 1410528 2821056