Base | Representation |
---|---|
bin | 11100000100000… |
… | …10011110010000 |
3 | 121101222100021101 |
4 | 32002002132100 |
5 | 440231243230 |
6 | 35205434144 |
7 | 5555666251 |
oct | 1602023620 |
9 | 541870241 |
10 | 235415440 |
11 | 110982117 |
12 | 66a0b954 |
13 | 39a071a0 |
14 | 233a0b28 |
15 | 15a02aca |
hex | e082790 |
235415440 has 80 divisors (see below), whose sum is σ = 603930096. Its totient is φ = 84787200.
The previous prime is 235415393. The next prime is 235415489. The reversal of 235415440 is 44514532.
It can be written as a sum of positive squares in 8 ways, for example, as 88811776 + 146603664 = 9424^2 + 12108^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a junction number, because it is equal to n+sod(n) for n = 235415399 and 235415408.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39880 + ... + 45400.
Almost surely, 2235415440 is an apocalyptic number.
235415440 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 235415440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301965048).
235415440 is an abundant number, since it is smaller than the sum of its proper divisors (368514656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
235415440 is a wasteful number, since it uses less digits than its factorization.
235415440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5588 (or 5582 counting only the distinct ones).
The product of its (nonzero) digits is 9600, while the sum is 28.
The square root of 235415440 is about 15343.2538921834. The cubic root of 235415440 is about 617.4640081302.
Adding to 235415440 its reverse (44514532), we get a palindrome (279929972).
The spelling of 235415440 in words is "two hundred thirty-five million, four hundred fifteen thousand, four hundred forty".
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