Search a number
-
+
1079364 = 22311131737
BaseRepresentation
bin100000111100001000100
32000211121110
410013201010
5234014424
635045020
712113556
oct4074104
92024543
101079364
11677a40
12440770
132ba3a0
142014d6
15164c29
hex107844

1079364 has 96 divisors (see below), whose sum is σ = 3217536. Its totient is φ = 276480.

The previous prime is 1079359. The next prime is 1079369. The reversal of 1079364 is 4639701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1079359) and next prime (1079369).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1079369) by changing a digit.

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, 29154 + ... + 29190.

It is an arithmetic number, because the mean of its divisors is an integer number (33516).

21079364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1079364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608768).

1079364 is an abundant number, since it is smaller than the sum of its proper divisors (2138172).

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

1079364 is a wasteful number, since it uses less digits than its factorization.

1079364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 1079364 is about 1038.9244438360. The cubic root of 1079364 is about 102.5784131293.

The spelling of 1079364 in words is "one million, seventy-nine thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 13 17 22 26 33 34 37 39 44 51 52 66 68 74 78 102 111 132 143 148 156 187 204 221 222 286 374 407 429 442 444 481 561 572 629 663 748 814 858 884 962 1122 1221 1258 1326 1443 1628 1716 1887 1924 2244 2431 2442 2516 2652 2886 3774 4862 4884 5291 5772 6919 7293 7548 8177 9724 10582 13838 14586 15873 16354 20757 21164 24531 27676 29172 31746 32708 41514 49062 63492 83028 89947 98124 179894 269841 359788 539682 1079364