Search a number
-
+
1082960 = 24513537
BaseRepresentation
bin100001000011001010000
32001000112122
410020121100
5234123320
635113412
712130214
oct4103120
92030478
101082960
1167a70a
12442868
132bbc08
14202944
15165d25
hex108650

1082960 has 20 divisors (see below), whose sum is σ = 2518068. Its totient is φ = 433152.

The previous prime is 1082911. The next prime is 1082969. The reversal of 1082960 is 692801.

1082960 = T244 + T245 + ... + T275.

It can be written as a sum of positive squares in 2 ways, for example, as 795664 + 287296 = 892^2 + 536^2 .

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

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082969) 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, 6689 + ... + 6848.

21082960 is an apocalyptic number.

1082960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1082960 is an abundant number, since it is smaller than the sum of its proper divisors (1435108).

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

1082960 is a wasteful number, since it uses less digits than its factorization.

1082960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13550 (or 13544 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 1082960 is about 1040.6536407470. The cubic root of 1082960 is about 102.6922033139.

The spelling of 1082960 in words is "one million, eighty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 13537 27074 54148 67685 108296 135370 216592 270740 541480 1082960