Search a number
-
+
116160 = 2635112
BaseRepresentation
bin11100010111000000
312220100020
4130113000
512204120
62253440
7662442
oct342700
9186306
10116160
117a300
1257280
1340b45
1430492
1524640
hex1c5c0

116160 has 84 divisors (see below), whose sum is σ = 405384. Its totient is φ = 28160.

The previous prime is 116159. The next prime is 116167. The reversal of 116160 is 61611.

Multipling 116160 by its sum of digits (15), we get a square (1742400 = 13202).

116160 divided by its sum of digits (15) gives a square (7744 = 882).

Adding to 116160 its reverse (61611), we get a palindrome (177771).

It can be divided in two parts, 1161 and 60, that added together give a palindrome (1221).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 116160.

It is not an unprimeable number, because it can be changed into a prime (116167) 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 11 ways as a sum of consecutive naturals, for example, 10555 + ... + 10565.

It is an arithmetic number, because the mean of its divisors is an integer number (4826).

2116160 is an apocalyptic number.

116160 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 116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202692).

116160 is an abundant number, since it is smaller than the sum of its proper divisors (289224).

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

116160 is a wasteful number, since it uses less digits than its factorization.

116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 116160 is about 340.8225344663. The cubic root of 116160 is about 48.7924022929.

The spelling of 116160 in words is "one hundred sixteen thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 121 132 160 165 176 192 220 240 242 264 320 330 352 363 440 480 484 528 605 660 704 726 880 960 968 1056 1210 1320 1452 1760 1815 1936 2112 2420 2640 2904 3520 3630 3872 4840 5280 5808 7260 7744 9680 10560 11616 14520 19360 23232 29040 38720 58080 116160