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2850320 = 245114179
BaseRepresentation
bin1010110111111000010000
312100210220102
422313320100
51212202240
6141031532
733140654
oct12677020
95323812
102850320
111677540
12b555a8
1378a4a5
14542a64
153b4815
hex2b7e10

2850320 has 80 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 998400.

The previous prime is 2850317. The next prime is 2850329. The reversal of 2850320 is 230582.

2850320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a d-powerful number, because it can be written as 217 + 87 + 57 + 0 + 39 + 219 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 2850292 and 2850301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2850329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36041 + ... + 36119.

It is an arithmetic number, because the mean of its divisors is an integer number (93744).

22850320 is an apocalyptic number.

2850320 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 2850320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

2850320 is an abundant number, since it is smaller than the sum of its proper divisors (4649200).

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

2850320 is a wasteful number, since it uses less digits than its factorization.

2850320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2850320 is about 1688.2890747736. The cubic root of 2850320 is about 141.7853000889.

The spelling of 2850320 in words is "two million, eight hundred fifty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 79 80 82 88 110 158 164 176 205 220 316 328 395 410 440 451 632 656 790 820 869 880 902 1264 1580 1640 1738 1804 2255 3160 3239 3280 3476 3608 4345 4510 6320 6478 6952 7216 8690 9020 12956 13904 16195 17380 18040 25912 32390 34760 35629 36080 51824 64780 69520 71258 129560 142516 178145 259120 285032 356290 570064 712580 1425160 2850320