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540496580 = 225134334801
BaseRepresentation
bin100000001101110…
…101001011000100
31101200001001220212
4200031311023010
52101331342310
6125344414552
716252100531
oct4015651304
91350031825
10540496580
11258107098
12131017458
1387c93980
1451ad7d88
15326b7205
hex203752c4

540496580 has 48 divisors (see below), whose sum is σ = 1225431984. Its totient is φ = 199065600.

The previous prime is 540496549. The next prime is 540496613. The reversal of 540496580 is 85694045.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 101929216 + 438567364 = 10096^2 + 20942^2 .

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, 110180 + ... + 114980.

It is an arithmetic number, because the mean of its divisors is an integer number (25529833).

Almost surely, 2540496580 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540496580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612715992).

540496580 is an abundant number, since it is smaller than the sum of its proper divisors (684935404).

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

540496580 is a wasteful number, since it uses less digits than its factorization.

540496580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5256 (or 5254 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 540496580 is about 23248.5823223697. The cubic root of 540496580 is about 814.5748243359.

It can be divided in two parts, 5404965 and 80, that added together give a palindrome (5405045).

The spelling of 540496580 in words is "five hundred forty million, four hundred ninety-six thousand, five hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 433 866 1732 2165 4330 4801 5629 8660 9602 11258 19204 22516 24005 28145 48010 56290 62413 96020 112580 124826 249652 312065 624130 1248260 2078833 4157666 8315332 10394165 20788330 27024829 41576660 54049658 108099316 135124145 270248290 540496580