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540180060 = 223577571699
BaseRepresentation
bin100000001100100…
…111111001011100
31101122102222201220
4200030213321130
52101241230220
6125333533340
716246311660
oct4014477134
91348388656
10540180060
11257a10302
12130aa4250
1387bb2894
1451a548a0
1532653540
hex20327e5c

540180060 has 96 divisors (see below), whose sum is σ = 1731878400. Its totient is φ = 123234048.

The previous prime is 540180059. The next prime is 540180119. The reversal of 540180060 is 60081045.

It is a self number, because there is not a number n which added to its sum of digits gives 540180060.

It is a congruent number.

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, 317091 + ... + 318789.

It is an arithmetic number, because the mean of its divisors is an integer number (18040400).

Almost surely, 2540180060 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 540180060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865939200).

540180060 is an abundant number, since it is smaller than the sum of its proper divisors (1191698340).

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

540180060 is a wasteful number, since it uses less digits than its factorization.

540180060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 540180060 is about 23241.7740286752. The cubic root of 540180060 is about 814.4157856676.

The spelling of 540180060 in words is "five hundred forty million, one hundred eighty thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 757 1514 1699 2271 3028 3398 3785 4542 5097 5299 6796 7570 8495 9084 10194 10598 11355 11893 15140 15897 16990 20388 21196 22710 23786 25485 26495 31794 33980 35679 45420 47572 50970 52990 59465 63588 71358 79485 101940 105980 118930 142716 158970 178395 237860 317940 356790 713580 1286143 2572286 3858429 5144572 6430715 7716858 9003001 12861430 15433716 18006002 19292145 25722860 27009003 36012004 38584290 45015005 54018006 77168580 90030010 108036012 135045015 180060020 270090030 540180060