Base | Representation |
---|---|
bin | 11011101110001… |
… | …00011110001000 |
3 | 121012120020222002 |
4 | 31313010132020 |
5 | 434012240130 |
6 | 35024050132 |
7 | 5522362205 |
oct | 1567043610 |
9 | 535506862 |
10 | 232540040 |
11 | 10a298857 |
12 | 65a63948 |
13 | 3923b475 |
14 | 22c52cac |
15 | 15635b45 |
hex | ddc4788 |
232540040 has 64 divisors (see below), whose sum is σ = 536502960. Its totient is φ = 90685440.
The previous prime is 232540013. The next prime is 232540043. The reversal of 232540040 is 40045232.
232540040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 75238276 + 157301764 = 8674^2 + 12542^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 232539994 and 232540021.
It is not an unprimeable number, because it can be changed into a prime (232540043) 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, 282830 + ... + 283650.
Almost surely, 2232540040 is an apocalyptic number.
232540040 is a gapful number since it is divisible by the number (20) 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 232540040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268251480).
232540040 is an abundant number, since it is smaller than the sum of its proper divisors (303962920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232540040 is a wasteful number, since it uses less digits than its factorization.
232540040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1002 (or 998 counting only the distinct ones).
The product of its (nonzero) digits is 960, while the sum is 20.
The square root of 232540040 is about 15249.2635887770. The cubic root of 232540040 is about 614.9397698082.
Adding to 232540040 its reverse (40045232), we get a palindrome (272585272).
The spelling of 232540040 in words is "two hundred thirty-two million, five hundred forty thousand, forty".
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