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540858340 = 2251123891201
BaseRepresentation
bin100000001111001…
…101011111100100
31101200201110011101
4200033031133210
52101424431330
6125400245444
716255135321
oct4017153744
91350643141
10540858340
11258333970
12131170884
138808c529
1451b8db48
15327394ca
hex203cd7e4

540858340 has 96 divisors (see below), whose sum is σ = 1308545280. Its totient is φ = 185856000.

The previous prime is 540858337. The next prime is 540858359. The reversal of 540858340 is 43858045.

It is a happy number.

540858340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 540858340.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449740 + ... + 450940.

It is an arithmetic number, because the mean of its divisors is an integer number (13630680).

Almost surely, 2540858340 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 540858340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654272640).

540858340 is an abundant number, since it is smaller than the sum of its proper divisors (767686940).

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

540858340 is a wasteful number, since it uses less digits than its factorization.

540858340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The square root of 540858340 is about 23256.3612803035. The cubic root of 540858340 is about 814.7565182815.

The spelling of 540858340 in words is "five hundred forty million, eight hundred fifty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 89 92 110 115 178 220 230 253 356 445 460 506 890 979 1012 1201 1265 1780 1958 2047 2402 2530 3916 4094 4804 4895 5060 6005 8188 9790 10235 12010 13211 19580 20470 22517 24020 26422 27623 40940 45034 52844 55246 66055 90068 106889 110492 112585 132110 138115 213778 225170 264220 276230 303853 427556 450340 534445 552460 607706 1068890 1175779 1215412 1519265 2137780 2351558 2458447 3038530 4703116 4916894 5878895 6077060 9833788 11757790 12292235 23515580 24584470 27042917 49168940 54085834 108171668 135214585 270429170 540858340