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1061120 = 285829
BaseRepresentation
bin100000011000100000000
31222220120202
410003010000
5232423440
634424332
712006434
oct4030400
91886522
101061120
11665265
124320a8
132b1ca8
141d89c4
1515e615
hex103100

1061120 has 36 divisors (see below), whose sum is σ = 2544780. Its totient is φ = 423936.

The previous prime is 1061117. The next prime is 1061129. The reversal of 1061120 is 211601.

It can be written as a sum of positive squares in 2 ways, for example, as 495616 + 565504 = 704^2 + 752^2 .

It is a super-2 number, since 2×10611202 = 2251951308800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1061129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 866 + ... + 1694.

21061120 is an apocalyptic number.

1061120 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 1061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272390).

1061120 is an abundant number, since it is smaller than the sum of its proper divisors (1483660).

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

1061120 is an frugal number, since it uses more digits than its factorization.

1061120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1061120 is about 1030.1067905805. The cubic root of 1061120 is about 101.9971804936.

Adding to 1061120 its reverse (211601), we get a palindrome (1272721).

The spelling of 1061120 in words is "one million, sixty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 829 1280 1658 3316 4145 6632 8290 13264 16580 26528 33160 53056 66320 106112 132640 212224 265280 530560 1061120