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2823520 = 25572521
BaseRepresentation
bin1010110001010101100000
312022110010211
422301111200
51210323040
6140303504
732666560
oct12612540
95273124
102823520
111659397
12b41b94
1377b22b
14536da0
153ab8ea
hex2b1560

2823520 has 48 divisors (see below), whose sum is σ = 7626528. Its totient is φ = 967680.

The previous prime is 2823517. The next prime is 2823521. The reversal of 2823520 is 253282.

It is a junction number, because it is equal to n+sod(n) for n = 2823491 and 2823500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2823521) 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, 141 + ... + 2380.

It is an arithmetic number, because the mean of its divisors is an integer number (158886).

22823520 is an apocalyptic number.

2823520 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 2823520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3813264).

2823520 is an abundant number, since it is smaller than the sum of its proper divisors (4803008).

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

2823520 is a wasteful number, since it uses less digits than its factorization.

2823520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543 (or 2535 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2823520 is about 1680.3333002711. Note that the first 4 decimals coincide. The cubic root of 2823520 is about 141.3395234819.

The spelling of 2823520 in words is "two million, eight hundred twenty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 2521 5042 10084 12605 17647 20168 25210 35294 40336 50420 70588 80672 88235 100840 141176 176470 201680 282352 352940 403360 564704 705880 1411760 2823520