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8413220 = 225537937
BaseRepresentation
bin100000000110…
…000000100100
3120211102202202
4200012000210
54123210340
6500154032
7131340224
oct40060044
916742682
108413220
114826a82
122998918
13198754a
141190084
15b12c15
hex806024

8413220 has 24 divisors (see below), whose sum is σ = 18003384. Its totient is φ = 3301376.

The previous prime is 8413211. The next prime is 8413243. The reversal of 8413220 is 223148.

8413220 = T169 + T170 + ... + T380.

8413220 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4194304 + 4218916 = 2048^2 + 2054^2 .

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 8 + 47 + 1 + 33 + 213 + 223 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 8413192 and 8413201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2909 + ... + 5028.

It is an arithmetic number, because the mean of its divisors is an integer number (750141).

Almost surely, 28413220 is an apocalyptic number.

It is an amenable number.

8413220 is an abundant number, since it is smaller than the sum of its proper divisors (9590164).

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

8413220 is a wasteful number, since it uses less digits than its factorization.

8413220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7999 (or 7997 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 8413220 is about 2900.5551192832. Note that the first 3 decimals coincide. The cubic root of 8413220 is about 203.3858564187.

Adding to 8413220 its reverse (223148), we get a palindrome (8636368).

The spelling of 8413220 in words is "eight million, four hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 7937 15874 31748 39685 79370 158740 420661 841322 1682644 2103305 4206610 8413220