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540595080 = 233351313821
BaseRepresentation
bin100000001110001…
…101001110001000
31101200020002001000
4200032031032020
52101343020310
6125350455000
716252660644
oct4016151610
91350202030
10540595080
112581740a3
12131064460
1387cc975c
1451b21c24
15326d64c0
hex2038d388

540595080 has 128 divisors (see below), whose sum is σ = 1816214400. Its totient is φ = 143020800.

The previous prime is 540595079. The next prime is 540595091. The reversal of 540595080 is 80595045.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 139570 + ... + 143390.

It is an arithmetic number, because the mean of its divisors is an integer number (14189175).

Almost surely, 2540595080 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 540595080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908107200).

540595080 is an abundant number, since it is smaller than the sum of its proper divisors (1275619320).

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

540595080 is a wasteful number, since it uses less digits than its factorization.

540595080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3972 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 540595080 is about 23250.7006346045. The cubic root of 540595080 is about 814.6243039871.

The spelling of 540595080 in words is "five hundred forty million, five hundred ninety-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 131 135 180 216 262 270 360 393 524 540 655 786 1048 1080 1179 1310 1572 1965 2358 2620 3144 3537 3821 3930 4716 5240 5895 7074 7642 7860 9432 11463 11790 14148 15284 15720 17685 19105 22926 23580 28296 30568 34389 35370 38210 45852 47160 57315 68778 70740 76420 91704 103167 114630 137556 141480 152840 171945 206334 229260 275112 343890 412668 458520 500551 515835 687780 825336 1001102 1031670 1375560 1501653 2002204 2063340 2502755 3003306 4004408 4126680 4504959 5005510 6006612 7508265 9009918 10011020 12013224 13514877 15016530 18019836 20022040 22524795 27029754 30033060 36039672 45049590 54059508 60066120 67574385 90099180 108119016 135148770 180198360 270297540 540595080