Search a number
-
+
1106320 = 24513829
BaseRepresentation
bin100001110000110010000
32002012120211
410032012100
5240400240
635413504
712255265
oct4160620
92065524
101106320
11696216
12454294
132c9737
1420b26c
1516cbea
hex10e190

1106320 has 20 divisors (see below), whose sum is σ = 2572380. Its totient is φ = 442496.

The previous prime is 1106317. The next prime is 1106363. The reversal of 1106320 is 236011.

It can be written as a sum of positive squares in 2 ways, for example, as 274576 + 831744 = 524^2 + 912^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1106320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6835 + ... + 6994.

It is an arithmetic number, because the mean of its divisors is an integer number (128619).

21106320 is an apocalyptic number.

1106320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1106320 is an abundant number, since it is smaller than the sum of its proper divisors (1466060).

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

1106320 is a wasteful number, since it uses less digits than its factorization.

1106320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13842 (or 13836 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1106320 is about 1051.8174746599. The cubic root of 1106320 is about 103.4253314120.

The spelling of 1106320 in words is "one million, one hundred six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 13829 27658 55316 69145 110632 138290 221264 276580 553160 1106320