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11287353 = 3711131373
BaseRepresentation
bin101011000011…
…101100111001
3210020110100010
4223003230321
510342143403
61041532133
7164640510
oct53035471
923213303
1011287353
11640a3a0
123944049
13245280c
1416db677
15ece603
hexac3b39

11287353 has 32 divisors (see below), whose sum is σ = 18957312. Its totient is φ = 5803200.

The previous prime is 11287343. The next prime is 11287361. The reversal of 11287353 is 35378211.

It is not a de Polignac number, because 11287353 - 25 = 11287321 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 11287353.

It is not an unprimeable number, because it can be changed into a prime (11287313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30075 + ... + 30447.

It is an arithmetic number, because the mean of its divisors is an integer number (592416).

Almost surely, 211287353 is an apocalyptic number.

It is an amenable number.

11287353 is a deficient number, since it is larger than the sum of its proper divisors (7669959).

11287353 is a wasteful number, since it uses less digits than its factorization.

11287353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525.

The product of its digits is 5040, while the sum is 30.

The square root of 11287353 is about 3359.6656083605. The cubic root of 11287353 is about 224.3179543476.

The spelling of 11287353 in words is "eleven million, two hundred eighty-seven thousand, three hundred fifty-three".

Divisors: 1 3 7 11 21 33 77 131 231 373 393 917 1119 1441 2611 2751 4103 4323 7833 10087 12309 28721 30261 48863 86163 146589 342041 537493 1026123 1612479 3762451 11287353