Search a number
-
+
1116360 = 233257443
BaseRepresentation
bin100010000100011001000
32002201100200
410100203020
5241210420
635532200
712326460
oct4204310
92081320
101116360
116a2813
1245a060
1330118b
14210ba0
15170b90
hex1108c8

1116360 has 96 divisors (see below), whose sum is σ = 4155840. Its totient is φ = 254592.

The previous prime is 1116347. The next prime is 1116371. The reversal of 1116360 is 636111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2299 + ... + 2741.

It is an arithmetic number, because the mean of its divisors is an integer number (43290).

21116360 is an apocalyptic number.

1116360 is a gapful number since it is divisible by the number (10) 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 1116360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077920).

1116360 is an abundant number, since it is smaller than the sum of its proper divisors (3039480).

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

1116360 is a wasteful number, since it uses less digits than its factorization.

1116360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1116360 is about 1056.5793865110. The cubic root of 1116360 is about 103.7372558982.

Subtracting from 1116360 its reverse (636111), we obtain a square (480249 = 6932).

The spelling of 1116360 in words is "one million, one hundred sixteen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 443 504 630 840 886 1260 1329 1772 2215 2520 2658 3101 3544 3987 4430 5316 6202 6645 7974 8860 9303 10632 12404 13290 15505 15948 17720 18606 19935 24808 26580 27909 31010 31896 37212 39870 46515 53160 55818 62020 74424 79740 93030 111636 124040 139545 159480 186060 223272 279090 372120 558180 1116360