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540615630 = 235671012663
BaseRepresentation
bin100000001110010…
…010001111001110
31101200021010020010
4200032102033032
52101344200010
6125351134050
716253104602
oct4016221716
91350233203
10540615630
11258188585
12131074326
1388005c09
1451b29502
15326dc620
hex203923ce

540615630 has 64 divisors (see below), whose sum is σ = 1330380288. Its totient is φ = 140553600.

The previous prime is 540615613. The next prime is 540615631. The reversal of 540615630 is 36516045.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540615631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201679 + ... + 204341.

It is an arithmetic number, because the mean of its divisors is an integer number (20787192).

Almost surely, 2540615630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540615630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665190144).

540615630 is an abundant number, since it is smaller than the sum of its proper divisors (789764658).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

540615630 is a wasteful number, since it uses less digits than its factorization.

540615630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841.

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 540615630 is about 23251.1425525715. The cubic root of 540615630 is about 814.6346261413.

The spelling of 540615630 in words is "five hundred forty million, six hundred fifteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 67 101 134 201 202 303 335 402 505 606 670 1005 1010 1515 2010 2663 3030 5326 6767 7989 13315 13534 15978 20301 26630 33835 39945 40602 67670 79890 101505 178421 203010 268963 356842 535263 537926 806889 892105 1070526 1344815 1613778 1784210 2676315 2689630 4034445 5352630 8068890 18020521 36041042 54061563 90102605 108123126 180205210 270307815 540615630