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11280825 = 3252181277
BaseRepresentation
bin101011000010…
…000110111001
3210020010101100
4223002012321
510341441300
61041442013
7164612463
oct53020671
923203340
1011280825
1164054a6
123940309
13244c85a
1416d9133
15ecc700
hexac21b9

11280825 has 36 divisors (see below), whose sum is σ = 20390188. Its totient is φ = 5961600.

The previous prime is 11280817. The next prime is 11280881. The reversal of 11280825 is 52808211.

It can be written as a sum of positive squares in 6 ways, for example, as 4247721 + 7033104 = 2061^2 + 2652^2 .

It is not a de Polignac number, because 11280825 - 23 = 11280817 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 40587 + ... + 40863.

Almost surely, 211280825 is an apocalyptic number.

11280825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11280825 is a deficient number, since it is larger than the sum of its proper divisors (9109363).

11280825 is a wasteful number, since it uses less digits than its factorization.

11280825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 11280825 is about 3358.6939425914. The cubic root of 11280825 is about 224.2747015142.

The spelling of 11280825 in words is "eleven million, two hundred eighty thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 181 225 277 543 831 905 1385 1629 2493 2715 4155 4525 6925 8145 12465 13575 20775 40725 50137 62325 150411 250685 451233 752055 1253425 2256165 3760275 11280825