Search a number
-
+
116113140 = 2232511132347
BaseRepresentation
bin1101110101110…
…11111011110100
322002111011021200
412322323323310
5214211110030
615304412500
72606642163
oct672737364
9262434250
10116113140
115a5a7580
1232a77130
131b095a00
14115c73da
15a2d8d60
hex6ebbef4

116113140 has 216 divisors, whose sum is σ = 417257568. Its totient is φ = 25908480.

The previous prime is 116113091. The next prime is 116113147. The reversal of 116113140 is 41311611.

116113140 is a `hidden beast` number, since 11 + 611 + 3 + 1 + 40 = 666.

It is a super-2 number, since 2×1161131402 = 26964522561319200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116113147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 334447 + ... + 334793.

It is an arithmetic number, because the mean of its divisors is an integer number (1931748).

Almost surely, 2116113140 is an apocalyptic number.

116113140 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 116113140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208628784).

116113140 is an abundant number, since it is smaller than the sum of its proper divisors (301144428).

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

116113140 is a wasteful number, since it uses less digits than its factorization.

116113140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 116113140 is about 10775.5807268100. The cubic root of 116113140 is about 487.8584031092.

Adding to 116113140 its reverse (41311611), we get a palindrome (157424751).

The spelling of 116113140 in words is "one hundred sixteen million, one hundred thirteen thousand, one hundred forty".