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11305220 = 225565261
BaseRepresentation
bin101011001000…
…000100000100
3210021100211212
4223020010010
510343231340
61042150552
7165043553
oct53100404
923240755
1011305220
116421863
123952458
13245a9a4
141703d9a
15ed4a65
hexac8104

11305220 has 12 divisors (see below), whose sum is σ = 23741004. Its totient is φ = 4522080.

The previous prime is 11305211. The next prime is 11305237. The reversal of 11305220 is 2250311.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2353156 + 8952064 = 1534^2 + 2992^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11305195 and 11305204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 282611 + ... + 282650.

It is an arithmetic number, because the mean of its divisors is an integer number (1978417).

Almost surely, 211305220 is an apocalyptic number.

11305220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11305220 is an abundant number, since it is smaller than the sum of its proper divisors (12435784).

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

11305220 is a wasteful number, since it uses less digits than its factorization.

11305220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565270 (or 565268 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 11305220 is about 3362.3236013210. The cubic root of 11305220 is about 224.4362512304.

Adding to 11305220 its reverse (2250311), we get a palindrome (13555531).

The spelling of 11305220 in words is "eleven million, three hundred five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 565261 1130522 2261044 2826305 5652610 11305220