Search a number
-
+
1130766 = 2371319109
BaseRepresentation
bin100010100000100001110
32010110010020
410110010032
5242141031
640123010
712416460
oct4240416
92113106
101130766
1170261a
12466466
133078c0
14216130
15175096
hex11410e

1130766 has 64 divisors (see below), whose sum is σ = 2956800. Its totient is φ = 279936.

The previous prime is 1130741. The next prime is 1130777. The reversal of 1130766 is 6670311.

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 31 ways as a sum of consecutive naturals, for example, 10320 + ... + 10428.

It is an arithmetic number, because the mean of its divisors is an integer number (46200).

21130766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478400).

1130766 is an abundant number, since it is smaller than the sum of its proper divisors (1826034).

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

1130766 is a wasteful number, since it uses less digits than its factorization.

1130766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 1130766 is about 1063.3748163277. The cubic root of 1130766 is about 104.1815738310.

The spelling of 1130766 in words is "one million, one hundred thirty thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 78 91 109 114 133 182 218 247 266 273 327 399 494 546 654 741 763 798 1417 1482 1526 1729 2071 2289 2834 3458 4142 4251 4578 5187 6213 8502 9919 10374 12426 14497 19838 26923 28994 29757 43491 53846 59514 80769 86982 161538 188461 376922 565383 1130766