Search a number
-
+
2852820 = 22355587
BaseRepresentation
bin1010111000011111010100
312100221100000
422320133110
51212242240
6141051300
733151155
oct12703724
95327300
102852820
111679403
12b56b30
1378b679
1454392c
153b5430
hex2b87d4

2852820 has 72 divisors (see below), whose sum is σ = 8989344. Its totient is φ = 759456.

The previous prime is 2852819. The next prime is 2852833. The reversal of 2852820 is 282582.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4567 + ... + 5153.

It is an arithmetic number, because the mean of its divisors is an integer number (124852).

22852820 is an apocalyptic number.

2852820 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 2852820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4494672).

2852820 is an abundant number, since it is smaller than the sum of its proper divisors (6136524).

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

2852820 is a wasteful number, since it uses less digits than its factorization.

2852820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2852820 is about 1689.0293070282. The cubic root of 2852820 is about 141.8267410111.

The spelling of 2852820 in words is "two million, eight hundred fifty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 587 810 972 1174 1215 1620 1761 2348 2430 2935 3522 4860 5283 5870 7044 8805 10566 11740 15849 17610 21132 26415 31698 35220 47547 52830 63396 79245 95094 105660 142641 158490 190188 237735 285282 316980 475470 570564 713205 950940 1426410 2852820