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2823260 = 2251141313
BaseRepresentation
bin1010110001010001011100
312022102210012
422301101130
51210321020
6140302352
732666036
oct12612134
95272705
102823260
111659180
12b419b8
1377b08b
14536c56
153ab7c5
hex2b145c

2823260 has 48 divisors (see below), whose sum is σ = 6646752. Its totient is φ = 998400.

The previous prime is 2823221. The next prime is 2823269. The reversal of 2823260 is 623282.

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2823269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8864 + ... + 9176.

It is an arithmetic number, because the mean of its divisors is an integer number (138474).

22823260 is an apocalyptic number.

2823260 is a gapful number since it is divisible by the number (20) 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 2823260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3323376).

2823260 is an abundant number, since it is smaller than the sum of its proper divisors (3823492).

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

2823260 is a wasteful number, since it uses less digits than its factorization.

2823260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2823260 is about 1680.2559328864. The cubic root of 2823260 is about 141.3351849961.

The spelling of 2823260 in words is "two million, eight hundred twenty-three thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 313 410 451 626 820 902 1252 1565 1804 2255 3130 3443 4510 6260 6886 9020 12833 13772 17215 25666 34430 51332 64165 68860 128330 141163 256660 282326 564652 705815 1411630 2823260