Base | Representation |
---|---|
bin | 100000001110010… |
… | …010001010100010 |
3 | 1101200021002211000 |
4 | 200032102022202 |
5 | 2101344142310 |
6 | 125351132430 |
7 | 16253103663 |
oct | 4016221242 |
9 | 1350232730 |
10 | 540615330 |
11 | 258188332 |
12 | 131074116 |
13 | 88005a38 |
14 | 51b2936a |
15 | 326dc4c0 |
hex | 203922a2 |
540615330 has 64 divisors (see below), whose sum is σ = 1445241600. Its totient is φ = 143804160.
The previous prime is 540615319. The next prime is 540615331. The reversal of 540615330 is 33516045.
540615330 is a `hidden beast` number, since 5 + 40 + 615 + 3 + 3 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 540615294 and 540615303.
It is not an unprimeable number, because it can be changed into a prime (540615331) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116250 + ... + 120810.
It is an arithmetic number, because the mean of its divisors is an integer number (22581900).
Almost surely, 2540615330 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 540615330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722620800).
540615330 is an abundant number, since it is smaller than the sum of its proper divisors (904626270).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
540615330 is a wasteful number, since it uses less digits than its factorization.
540615330 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5016 (or 5010 counting only the distinct ones).
The product of its (nonzero) digits is 5400, while the sum is 27.
The square root of 540615330 is about 23251.1361012747. The cubic root of 540615330 is about 814.6344754548.
It can be divided in two parts, 5406 and 15330, that added together give a 4-th power (20736 = 124).
The spelling of 540615330 in words is "five hundred forty million, six hundred fifteen thousand, three hundred thirty".
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