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11289616 = 241354277
BaseRepresentation
bin101011000100…
…010000010000
3210020120102221
4223010100100
510342231431
61041550424
7164650222
oct53042020
923216387
1011289616
116411068
123945414
132453860
1416dc412
15ed0111
hexac4410

11289616 has 20 divisors (see below), whose sum is σ = 23556652. Its totient is φ = 5210496.

The previous prime is 11289601. The next prime is 11289617. The reversal of 11289616 is 61698211.

It can be written as a sum of positive squares in 2 ways, for example, as 1679616 + 9610000 = 1296^2 + 3100^2 .

It is not an unprimeable number, because it can be changed into a prime (11289617) by changing a digit.

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, 26931 + ... + 27346.

Almost surely, 211289616 is an apocalyptic number.

11289616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11289616 is an abundant number, since it is smaller than the sum of its proper divisors (12267036).

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

11289616 is a wasteful number, since it uses less digits than its factorization.

11289616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54298 (or 54292 counting only the distinct ones).

The product of its digits is 5184, while the sum is 34.

The square root of 11289616 is about 3360.0023809515. The cubic root of 11289616 is about 224.3329445055.

It can be divided in two parts, 112896 and 16, that multiplied together give a square (1806336 = 13442).

The spelling of 11289616 in words is "eleven million, two hundred eighty-nine thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 208 54277 108554 217108 434216 705601 868432 1411202 2822404 5644808 11289616