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1106960 = 245101137
BaseRepresentation
bin100001110010000010000
32002020110112
410032100100
5240410320
635420452
712260201
oct4162020
92066415
101106960
11696748
12454728
132c9b0a
1420b5a8
1516cec5
hex10e410

1106960 has 40 divisors (see below), whose sum is σ = 2618136. Its totient is φ = 435200.

The previous prime is 1106957. The next prime is 1106977. The reversal of 1106960 is 696011.

It can be written as a sum of positive squares in 4 ways, for example, as 414736 + 692224 = 644^2 + 832^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8012 + ... + 8148.

21106960 is an apocalyptic number.

1106960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309068).

1106960 is an abundant number, since it is smaller than the sum of its proper divisors (1511176).

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

1106960 is a wasteful number, since it uses less digits than its factorization.

1106960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 1106960 is about 1052.1216659683. The cubic root of 1106960 is about 103.4452712282.

The spelling of 1106960 in words is "one million, one hundred six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 137 202 274 404 505 548 685 808 1010 1096 1370 1616 2020 2192 2740 4040 5480 8080 10960 13837 27674 55348 69185 110696 138370 221392 276740 553480 1106960