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10218820 = 225510941
BaseRepresentation
bin100110111110…
…110101000100
3201020011120211
4212332311010
510104000240
61003005204
7152600323
oct46766504
921204524
1010218820
11584a607
123509804
13216a351
1415000ba
15d6cbea
hex9bed44

10218820 has 12 divisors (see below), whose sum is σ = 21459564. Its totient is φ = 4087520.

The previous prime is 10218763. The next prime is 10218829. The reversal of 10218820 is 2881201.

It can be written as a sum of positive squares in 2 ways, for example, as 2027776 + 8191044 = 1424^2 + 2862^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10218791 and 10218800.

It is not an unprimeable number, because it can be changed into a prime (10218829) 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 3 ways as a sum of consecutive naturals, for example, 255451 + ... + 255490.

It is an arithmetic number, because the mean of its divisors is an integer number (1788297).

Almost surely, 210218820 is an apocalyptic number.

10218820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10218820 is an abundant number, since it is smaller than the sum of its proper divisors (11240744).

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

10218820 is a wasteful number, since it uses less digits than its factorization.

10218820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510950 (or 510948 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 10218820 is about 3196.6889119838. The cubic root of 10218820 is about 217.0035888892.

The spelling of 10218820 in words is "ten million, two hundred eighteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 510941 1021882 2043764 2554705 5109410 10218820