Search a number
-
+
10284820 = 2257135651
BaseRepresentation
bin100111001110…
…111100010100
3201100112010021
4213032330110
510113103240
61004234524
7153263620
oct47167424
921315107
1010284820
115895157
12353ba44
1321913c0
14151a180
15d8254a
hex9cef14

10284820 has 48 divisors (see below), whose sum is σ = 26587008. Its totient is φ = 3254400.

The previous prime is 10284797. The next prime is 10284823. The reversal of 10284820 is 2848201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10284823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1006 + ... + 4645.

It is an arithmetic number, because the mean of its divisors is an integer number (553896).

Almost surely, 210284820 is an apocalyptic number.

10284820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10284820 is an abundant number, since it is smaller than the sum of its proper divisors (16302188).

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

10284820 is a wasteful number, since it uses less digits than its factorization.

10284820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5680 (or 5678 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 10284820 is about 3206.9954786373. The cubic root of 10284820 is about 217.4697716391.

The spelling of 10284820 in words is "ten million, two hundred eighty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 5651 11302 22604 28255 39557 56510 73463 79114 113020 146926 158228 197785 293852 367315 395570 514241 734630 791140 1028482 1469260 2056964 2571205 5142410 10284820