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1260040 = 235172109
BaseRepresentation
bin100110011101000001000
32101000110011
410303220020
5310310130
643001304
713465405
oct4635010
92330404
101260040
11790761
12509234
133516b2
1424b2ac
1519d52a
hex133a08

1260040 has 48 divisors (see below), whose sum is σ = 3039300. Its totient is φ = 470016.

The previous prime is 1260031. The next prime is 1260047. The reversal of 1260040 is 400621.

It can be written as a sum of positive squares in 6 ways, for example, as 1012036 + 248004 = 1006^2 + 498^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1260040.

It is not an unprimeable number, because it can be changed into a prime (1260047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11506 + ... + 11614.

21260040 is an apocalyptic number.

1260040 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 1260040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519650).

1260040 is an abundant number, since it is smaller than the sum of its proper divisors (1779260).

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

1260040 is a wasteful number, since it uses less digits than its factorization.

1260040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1260040 is about 1122.5150333069. The cubic root of 1260040 is about 108.0093727577.

Adding to 1260040 its reverse (400621), we get a palindrome (1660661).

The spelling of 1260040 in words is "one million, two hundred sixty thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 109 136 170 218 289 340 436 545 578 680 872 1090 1156 1445 1853 2180 2312 2890 3706 4360 5780 7412 9265 11560 14824 18530 31501 37060 63002 74120 126004 157505 252008 315010 630020 1260040