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11281829 = 131771719
BaseRepresentation
bin101011000010…
…010110100101
3210020011202112
4223002112211
510342004304
61041450405
7164615426
oct53022645
923204675
1011281829
116406229
123940a05
132450150
1416d964d
15eccb6e
hexac25a5

11281829 has 16 divisors (see below), whose sum is σ = 13063680. Its totient is φ = 9649920.

The previous prime is 11281819. The next prime is 11281843. The reversal of 11281829 is 92818211.

11281829 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11281829 - 212 = 11277733 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11281795 and 11281804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11281819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15332 + ... + 16050.

It is an arithmetic number, because the mean of its divisors is an integer number (816480).

Almost surely, 211281829 is an apocalyptic number.

It is an amenable number.

11281829 is a deficient number, since it is larger than the sum of its proper divisors (1781851).

11281829 is a wasteful number, since it uses less digits than its factorization.

11281829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820.

The product of its digits is 2304, while the sum is 32.

The square root of 11281829 is about 3358.8434021252. The cubic root of 11281829 is about 224.2813548432.

The spelling of 11281829 in words is "eleven million, two hundred eighty-one thousand, eight hundred twenty-nine".

Divisors: 1 13 17 71 221 719 923 1207 9347 12223 15691 51049 158899 663637 867833 11281829