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216057240 = 23335728579
BaseRepresentation
bin11001110000011…
…00010110011000
3120001112211211000
430320030112120
5420302312430
633234505000
75232312330
oct1470142630
9501484730
10216057240
11100a60003
1260435160
13359b9c29
14209a20c0
1513e7be60
hexce0c598

216057240 has 128 divisors (see below), whose sum is σ = 823104000. Its totient is φ = 49382784.

The previous prime is 216057187. The next prime is 216057287. The reversal of 216057240 is 42750612.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 6730 + ... + 21849.

It is an arithmetic number, because the mean of its divisors is an integer number (6430500).

Almost surely, 2216057240 is an apocalyptic number.

216057240 is a gapful number since it is divisible by the number (20) 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 216057240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411552000).

216057240 is an abundant number, since it is smaller than the sum of its proper divisors (607046760).

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

216057240 is a wasteful number, since it uses less digits than its factorization.

216057240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28606 (or 28596 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 216057240 is about 14698.8856720501. The cubic root of 216057240 is about 600.0529953190.

It can be divided in two parts, 2160572 and 40, that added together give a palindrome (2160612).

The spelling of 216057240 in words is "two hundred sixteen million, fifty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 28579 57158 85737 114316 142895 171474 200053 228632 257211 285790 342948 400106 428685 514422 571580 600159 685896 771633 800212 857370 1000265 1028844 1143160 1200318 1286055 1543266 1600424 1714740 1800477 2000530 2057688 2400636 2572110 3000795 3086532 3429480 3600954 3858165 4001060 4801272 5144220 5401431 6001590 6173064 7201908 7716330 8002120 9002385 10288440 10802862 12003180 14403816 15432660 18004770 21605724 24006360 27007155 30865320 36009540 43211448 54014310 72019080 108028620 216057240