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540634940 = 2251131391721
BaseRepresentation
bin100000001110010…
…110111100111100
31101200022002201022
4200032112330330
52101400304230
6125351403312
716253215106
oct4016267474
91350262638
10540634940
112581a103a
12131083538
1388011941
1451b32576
15326e31e5
hex20396f3c

540634940 has 48 divisors (see below), whose sum is σ = 1154291040. Its totient is φ = 212674560.

The previous prime is 540634933. The next prime is 540634951. The reversal of 540634940 is 49436045.

540634940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×5406349402 = 584572276697607200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 540634940.

It is a congruent number.

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, 313280 + ... + 315000.

It is an arithmetic number, because the mean of its divisors is an integer number (24047730).

Almost surely, 2540634940 is an apocalyptic number.

It is an amenable number.

540634940 is an abundant number, since it is smaller than the sum of its proper divisors (613656100).

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

540634940 is a wasteful number, since it uses less digits than its factorization.

540634940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 540634940 is about 23251.5577972746. The cubic root of 540634940 is about 814.6443252118.

The spelling of 540634940 in words is "five hundred forty million, six hundred thirty-four thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 113 139 226 278 452 556 565 695 1130 1390 1721 2260 2780 3442 6884 8605 15707 17210 31414 34420 62828 78535 157070 194473 239219 314140 388946 478438 777892 956876 972365 1196095 1944730 2392190 3889460 4784380 27031747 54063494 108126988 135158735 270317470 540634940