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540111870 = 232553199569
BaseRepresentation
bin100000001100010…
…111001111111110
31101122022112012100
4200030113033332
52101232034440
6125332245530
716245606114
oct4014271776
91348275170
10540111870
11257974051
12130a708a6
1387b8a82c
1451a37ab4
153263d230
hex203173fe

540111870 has 96 divisors (see below), whose sum is σ = 1440504000. Its totient is φ = 140355072.

The previous prime is 540111799. The next prime is 540111881. The reversal of 540111870 is 78111045.

540111870 is a `hidden beast` number, since 540 + 1 + 118 + 7 + 0 = 666.

It is a super-2 number, since 2×5401118702 = 583441664229793800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 948946 + ... + 949514.

It is an arithmetic number, because the mean of its divisors is an integer number (15005250).

Almost surely, 2540111870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540111870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720252000).

540111870 is an abundant number, since it is smaller than the sum of its proper divisors (900392130).

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

540111870 is a wasteful number, since it uses less digits than its factorization.

540111870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 540111870 is about 23240.3070117415. The cubic root of 540111870 is about 814.3815147806.

It can be divided in two parts, 5401 and 11870, that added together give a palindrome (17271).

The spelling of 540111870 in words is "five hundred forty million, one hundred eleven thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 199 265 318 398 477 530 569 597 795 954 995 1138 1194 1590 1707 1791 1990 2385 2845 2985 3414 3582 4770 5121 5690 5970 8535 8955 10242 10547 17070 17910 21094 25605 30157 31641 51210 52735 60314 63282 90471 94923 105470 113231 150785 158205 180942 189846 226462 271413 301570 316410 339693 452355 474615 542826 566155 679386 904710 949230 1019079 1132310 1357065 1698465 2038158 2714130 3396930 5095395 6001243 10190790 12002486 18003729 30006215 36007458 54011187 60012430 90018645 108022374 180037290 270055935 540111870