Search a number
-
+
1084793112 = 2332137571531
BaseRepresentation
bin100000010101000…
…1010000100011000
32210121020012101200
41000222022010120
54210201334422
6255350514200
735611406064
oct10052120430
92717205350
101084793112
11507379137
12263365960
13143988120
14a4100aa4
15653802ac
hex40a8a118

1084793112 has 96 divisors (see below), whose sum is σ = 3170228880. Its totient is φ = 333123840.

The previous prime is 1084793093. The next prime is 1084793117. The reversal of 1084793112 is 2113974801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1084793117) 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, 707787 + ... + 709317.

Almost surely, 21084793112 is an apocalyptic number.

1084793112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1084793112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585114440).

1084793112 is an abundant number, since it is smaller than the sum of its proper divisors (2085435768).

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

1084793112 is a wasteful number, since it uses less digits than its factorization.

1084793112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1084793112 is about 32936.1975947437. The cubic root of 1084793112 is about 1027.5011256137.

The spelling of 1084793112 in words is "one billion, eighty-four million, seven hundred ninety-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 757 936 1514 1531 2271 3028 3062 4542 4593 6056 6124 6813 9084 9186 9841 12248 13626 13779 18168 18372 19682 19903 27252 27558 29523 36744 39364 39806 54504 55116 59046 59709 78728 79612 88569 110232 118092 119418 159224 177138 179127 236184 238836 354276 358254 477672 708552 716508 1158967 1433016 2317934 3476901 4635868 6953802 9271736 10430703 13907604 15066571 20861406 27815208 30133142 41722812 45199713 60266284 83445624 90399426 120532568 135599139 180798852 271198278 361597704 542396556 1084793112