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316218540 = 2235112831693
BaseRepresentation
bin10010110110010…
…001110010101100
3211001000120021210
4102312101302230
51121422443130
651213354420
710556545641
oct2266216254
9731016253
10316218540
11152551740
1289a98a10
1350688c81
142ddd5dc8
151cb645b0
hex12d91cac

316218540 has 96 divisors (see below), whose sum is σ = 969889536. Its totient is φ = 76343040.

The previous prime is 316218509. The next prime is 316218557. The reversal of 316218540 is 45812613.

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 = 316218498 and 316218507.

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, 185934 + ... + 187626.

It is an arithmetic number, because the mean of its divisors is an integer number (10103016).

Almost surely, 2316218540 is an apocalyptic number.

316218540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316218540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484944768).

316218540 is an abundant number, since it is smaller than the sum of its proper divisors (653670996).

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

316218540 is a wasteful number, since it uses less digits than its factorization.

316218540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 316218540 is about 17782.5346899704. The cubic root of 316218540 is about 681.2854433766.

The spelling of 316218540 in words is "three hundred sixteen million, two hundred eighteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 283 330 566 660 849 1132 1415 1693 1698 2830 3113 3386 3396 4245 5079 5660 6226 6772 8465 8490 9339 10158 12452 15565 16930 16980 18623 18678 20316 25395 31130 33860 37246 37356 46695 50790 55869 62260 74492 93115 93390 101580 111738 186230 186780 223476 279345 372460 479119 558690 958238 1117380 1437357 1916476 2395595 2874714 4791190 5270309 5749428 7186785 9582380 10540618 14373570 15810927 21081236 26351545 28747140 31621854 52703090 63243708 79054635 105406180 158109270 316218540