Base | Representation |
---|---|
bin | 1101011111111… |
… | …01010011000100 |
3 | 21220001221102002 |
4 | 12233331103010 |
5 | 212442011030 |
6 | 15123004432 |
7 | 2543324414 |
oct | 657752304 |
9 | 256057362 |
10 | 113235140 |
11 | 58a11267 |
12 | 31b09718 |
13 | 1a5c8a55 |
14 | 11078644 |
15 | 9e1b245 |
hex | 6bfd4c4 |
113235140 has 48 divisors (see below), whose sum is σ = 248557680. Its totient is φ = 43276800.
The previous prime is 113235139. The next prime is 113235149. The reversal of 113235140 is 41532311.
It can be written as a sum of positive squares in 8 ways, for example, as 11669056 + 101566084 = 3416^2 + 10078^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is not an unprimeable number, because it can be changed into a prime (113235149) 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, 57614 + ... + 59546.
It is an arithmetic number, because the mean of its divisors is an integer number (5178285).
Almost surely, 2113235140 is an apocalyptic number.
113235140 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 113235140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124278840).
113235140 is an abundant number, since it is smaller than the sum of its proper divisors (135322540).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
113235140 is a wasteful number, since it uses less digits than its factorization.
113235140 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2072 (or 2070 counting only the distinct ones).
The product of its (nonzero) digits is 360, while the sum is 20.
The square root of 113235140 is about 10641.2001202872. The cubic root of 113235140 is about 483.7939211012.
Adding to 113235140 its reverse (41532311), we get a palindrome (154767451).
The spelling of 113235140 in words is "one hundred thirteen million, two hundred thirty-five thousand, one hundred forty".
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