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540656040 = 233547257373
BaseRepresentation
bin100000001110011…
…100000110101000
31101200100011122210
4200032130012220
52101401443130
6125352045120
716253333451
oct4016340650
91350304583
10540656040
11258205981
121310937a0
138801b422
1451b3a128
15326e95b0
hex2039c1a8

540656040 has 128 divisors (see below), whose sum is σ = 1667381760. Its totient is φ = 140181504.

The previous prime is 540656029. The next prime is 540656041. The reversal of 540656040 is 40656045.

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

It is a junction number, because it is equal to n+sod(n) for n = 540655989 and 540656007.

It is not an unprimeable number, because it can be changed into a prime (540656041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1449294 + ... + 1449666.

It is an arithmetic number, because the mean of its divisors is an integer number (13026420).

Almost surely, 2540656040 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 540656040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833690880).

540656040 is an abundant number, since it is smaller than the sum of its proper divisors (1126725720).

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

540656040 is a wasteful number, since it uses less digits than its factorization.

540656040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 540656040 is about 23252.0115258874. The cubic root of 540656040 is about 814.6549231035.

The spelling of 540656040 in words is "five hundred forty million, six hundred fifty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 257 282 373 376 470 514 564 705 746 771 940 1028 1119 1128 1285 1410 1492 1542 1865 1880 2056 2238 2570 2820 2984 3084 3730 3855 4476 5140 5595 5640 6168 7460 7710 8952 10280 11190 12079 14920 15420 17531 22380 24158 30840 35062 36237 44760 48316 52593 60395 70124 72474 87655 95861 96632 105186 120790 140248 144948 175310 181185 191722 210372 241580 262965 287583 289896 350620 362370 383444 420744 479305 483160 525930 575166 701240 724740 766888 958610 1051860 1150332 1437915 1449480 1917220 2103720 2300664 2875830 3834440 4505467 5751660 9010934 11503320 13516401 18021868 22527335 27032802 36043736 45054670 54065604 67582005 90109340 108131208 135164010 180218680 270328020 540656040