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1106688 = 28311131
BaseRepresentation
bin100001110001100000000
32002020002110
410032030000
5240403223
635415320
712256332
oct4161400
92066073
101106688
11696520
12454540
132c995b
1420b452
1516cd93
hex10e300

1106688 has 72 divisors (see below), whose sum is σ = 3237696. Its totient is φ = 332800.

The previous prime is 1106687. The next prime is 1106689. The reversal of 1106688 is 8866011.

It is an interprime number because it is at equal distance from previous prime (1106687) and next prime (1106689).

It is not an unprimeable number, because it can be changed into a prime (1106687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8383 + ... + 8513.

It is an arithmetic number, because the mean of its divisors is an integer number (44968).

21106688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618848).

1106688 is an abundant number, since it is smaller than the sum of its proper divisors (2131008).

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

1106688 is a wasteful number, since it uses less digits than its factorization.

1106688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1106688 is about 1051.9923954098. The cubic root of 1106688 is about 103.4367977456.

The spelling of 1106688 in words is "one million, one hundred six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 131 132 176 192 256 262 264 352 384 393 524 528 704 768 786 1048 1056 1408 1441 1572 2096 2112 2816 2882 3144 4192 4224 4323 5764 6288 8384 8448 8646 11528 12576 16768 17292 23056 25152 33536 34584 46112 50304 69168 92224 100608 138336 184448 276672 368896 553344 1106688