Search a number
-
+
1106826 = 23719273
BaseRepresentation
bin100001110001110001010
32002020021120
410032032022
5240404301
635420110
712256620
oct4161612
92066246
101106826
11696636
12454636
132c9a36
1420b510
1516ce36
hex10e38a

1106826 has 48 divisors (see below), whose sum is σ = 2706624. Its totient is φ = 295488.

The previous prime is 1106821. The next prime is 1106827. The reversal of 1106826 is 6286011.

It is a junction number, because it is equal to n+sod(n) for n = 1106796 and 1106805.

It is not an unprimeable number, because it can be changed into a prime (1106821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15126 + ... + 15198.

It is an arithmetic number, because the mean of its divisors is an integer number (56388).

21106826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353312).

1106826 is an abundant number, since it is smaller than the sum of its proper divisors (1599798).

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

1106826 is a wasteful number, since it uses less digits than its factorization.

1106826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1106826 is about 1052.0579831929. The cubic root of 1106826 is about 103.4410969654.

The spelling of 1106826 in words is "one million, one hundred six thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 73 114 133 146 219 266 361 399 438 511 722 798 1022 1083 1387 1533 2166 2527 2774 3066 4161 5054 7581 8322 9709 15162 19418 26353 29127 52706 58254 79059 158118 184471 368942 553413 1106826