Search a number
-
+
114540 = 22352383
BaseRepresentation
bin11011111101101100
312211010020
4123331230
512131130
62242140
7654636
oct337554
9184106
10114540
1179068
1256350
134019a
142da56
1523e10
hex1bf6c

114540 has 48 divisors (see below), whose sum is σ = 338688. Its totient is φ = 28864.

The previous prime is 114493. The next prime is 114547. The reversal of 114540 is 45411.

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

It is not an unprimeable number, because it can be changed into a prime (114547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1339 + ... + 1421.

It is an arithmetic number, because the mean of its divisors is an integer number (7056).

2114540 is an apocalyptic number.

114540 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 114540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344).

114540 is an abundant number, since it is smaller than the sum of its proper divisors (224148).

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

114540 is a wasteful number, since it uses less digits than its factorization.

114540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 114540 is about 338.4375865651. The cubic root of 114540 is about 48.5645154109.

Adding to 114540 its reverse (45411), we get a palindrome (159951).

It can be divided in two parts, 1 and 14540, that added together give a palindrome (14541).

The spelling of 114540 in words is "one hundred fourteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 83 92 115 138 166 230 249 276 332 345 415 460 498 690 830 996 1245 1380 1660 1909 2490 3818 4980 5727 7636 9545 11454 19090 22908 28635 38180 57270 114540