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1065040 = 24513313
BaseRepresentation
bin100000100000001010000
32000002221221
410010001100
5233040130
634454424
712024034
oct4040120
92002857
101065040
116681a9
12434414
132b3a02
141da1c4
1516087a
hex104050

1065040 has 20 divisors (see below), whose sum is σ = 2476404. Its totient is φ = 425984.

The previous prime is 1065037. The next prime is 1065041. The reversal of 1065040 is 405601.

It can be written as a sum of positive squares in 2 ways, for example, as 379456 + 685584 = 616^2 + 828^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×10650402 = 2268620403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1065041) 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, 6577 + ... + 6736.

21065040 is an apocalyptic number.

1065040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1065040 is an abundant number, since it is smaller than the sum of its proper divisors (1411364).

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

1065040 is a wasteful number, since it uses less digits than its factorization.

1065040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13326 (or 13320 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1065040 is about 1032.0077519089. The cubic root of 1065040 is about 102.1226258108.

Subtracting from 1065040 its sum of digits (16), we obtain a square (1065024 = 10322).

The spelling of 1065040 in words is "one million, sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 13313 26626 53252 66565 106504 133130 213008 266260 532520 1065040