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2305056 = 253131847
BaseRepresentation
bin1000110010110000100000
311100002221110
420302300200
51042230211
6121223320
725410165
oct10626040
94302843
102305056
111334906
12931b40
13629250
1444006c
15307ea6
hex232c20

2305056 has 48 divisors (see below), whose sum is σ = 6519744. Its totient is φ = 708864.

The previous prime is 2305049. The next prime is 2305091. The reversal of 2305056 is 6505032.

It is a tau number, because it is divible by the number of its divisors (48).

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

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, 325 + ... + 2171.

It is an arithmetic number, because the mean of its divisors is an integer number (135828).

22305056 is an apocalyptic number.

2305056 is a gapful number since it is divisible by the number (26) 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 2305056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3259872).

2305056 is an abundant number, since it is smaller than the sum of its proper divisors (4214688).

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

2305056 is a wasteful number, since it uses less digits than its factorization.

2305056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 2305056 is about 1518.2410875747. The cubic root of 2305056 is about 132.0972653181.

The spelling of 2305056 in words is "two million, three hundred five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1847 3694 5541 7388 11082 14776 22164 24011 29552 44328 48022 59104 72033 88656 96044 144066 177312 192088 288132 384176 576264 768352 1152528 2305056