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10003220 = 225539437
BaseRepresentation
bin100110001010…
…001100010100
3200211012211122
4212022030110
510030100340
6554223112
7151011623
oct46121424
920735748
1010003220
115712627
123424a98
1320c3186
1414856ba
15d28db5
hex98a314

10003220 has 24 divisors (see below), whose sum is σ = 21405384. Its totient is φ = 3925376.

The previous prime is 10003199. The next prime is 10003223. The reversal of 10003220 is 2230001.

It can be written as a sum of positive squares in 4 ways, for example, as 2062096 + 7941124 = 1436^2 + 2818^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10003198 and 10003207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003223) 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, 3659 + ... + 5778.

It is an arithmetic number, because the mean of its divisors is an integer number (891891).

Almost surely, 210003220 is an apocalyptic number.

10003220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10003220 is an abundant number, since it is smaller than the sum of its proper divisors (11402164).

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

10003220 is a wasteful number, since it uses less digits than its factorization.

10003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9499 (or 9497 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 10003220 is about 3162.7867458936. The cubic root of 10003220 is about 215.4665907873.

Adding to 10003220 its reverse (2230001), we get a palindrome (12233221).

The spelling of 10003220 in words is "ten million, three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 9437 18874 37748 47185 94370 188740 500161 1000322 2000644 2500805 5001610 10003220