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116144 = 2471761
BaseRepresentation
bin11100010110110000
312220022122
4130112300
512204034
62253412
7662420
oct342660
9186278
10116144
117a296
1257268
1340b32
1430480
152462e
hex1c5b0

116144 has 40 divisors (see below), whose sum is σ = 276768. Its totient is φ = 46080.

The previous prime is 116141. The next prime is 116159. The reversal of 116144 is 441611.

It is a super-3 number, since 3×1161443 = 4700148633341952, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 116144.

It is not an unprimeable number, because it can be changed into a prime (116141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1874 + ... + 1934.

2116144 is an apocalyptic number.

116144 is a gapful number since it is divisible by the number (14) 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 116144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138384).

116144 is an abundant number, since it is smaller than the sum of its proper divisors (160624).

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

116144 is a wasteful number, since it uses less digits than its factorization.

116144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 87 counting only the distinct ones).

The product of its digits is 96, while the sum is 17.

The square root of 116144 is about 340.7990610316. The cubic root of 116144 is about 48.7901619512.

Adding to 116144 its reverse (441611), we get a palindrome (557755).

The spelling of 116144 in words is "one hundred sixteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 61 68 112 119 122 136 238 244 272 427 476 488 854 952 976 1037 1708 1904 2074 3416 4148 6832 7259 8296 14518 16592 29036 58072 116144