Search a number
-
+
540615330 = 23354394561
BaseRepresentation
bin100000001110010…
…010001010100010
31101200021002211000
4200032102022202
52101344142310
6125351132430
716253103663
oct4016221242
91350232730
10540615330
11258188332
12131074116
1388005a38
1451b2936a
15326dc4c0
hex203922a2

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".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 439 878 1317 2195 2634 3951 4390 4561 6585 7902 9122 11853 13170 13683 19755 22805 23706 27366 39510 41049 45610 59265 68415 82098 118530 123147 136830 205245 246294 410490 615735 1231470 2002279 4004558 6006837 10011395 12013674 18020511 20022790 30034185 36041022 54061533 60068370 90102555 108123066 180205110 270307665 540615330