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241366140 = 2232523173337
BaseRepresentation
bin11100110001011…
…11010001111100
3121211011200002200
432120233101330
5443242204030
635541151500
75660402241
oct1630572174
9554150080
10241366140
11114276a54
12689bb590
133b00b902
14240ad5c8
15162cad60
hexe62f47c

241366140 has 144 divisors (see below), whose sum is σ = 770672448. Its totient is φ = 61028352.

The previous prime is 241366129. The next prime is 241366199. The reversal of 241366140 is 41663142.

241366140 is a `hidden beast` number, since 2 + 41 + 3 + 6 + 614 + 0 = 666.

It is a super-2 number, since 2×2413661402 = 116515227076999200, 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, 716052 + ... + 716388.

It is an arithmetic number, because the mean of its divisors is an integer number (5351892).

Almost surely, 2241366140 is an apocalyptic number.

241366140 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 241366140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385336224).

241366140 is an abundant number, since it is smaller than the sum of its proper divisors (529306308).

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

241366140 is a wasteful number, since it uses less digits than its factorization.

241366140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 241366140 is about 15535.9627960420. The cubic root of 241366140 is about 622.6234138626.

It can be divided in two parts, 24136 and 6140, that added together give a square (30276 = 1742).

The spelling of 241366140 in words is "two hundred forty-one million, three hundred sixty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 173 180 207 230 276 337 345 346 414 460 519 674 690 692 828 865 1011 1035 1038 1348 1380 1557 1685 1730 2022 2070 2076 2595 3033 3114 3370 3460 3979 4044 4140 5055 5190 6066 6228 6740 7751 7785 7958 10110 10380 11937 12132 15165 15502 15570 15916 19895 20220 23253 23874 30330 31004 31140 35811 38755 39790 46506 47748 58301 59685 60660 69759 71622 77510 79580 93012 116265 116602 119370 139518 143244 155020 174903 179055 232530 233204 238740 279036 291505 348795 349806 358110 465060 524709 583010 697590 699612 716220 874515 1049418 1166020 1340923 1395180 1749030 2098836 2623545 2681846 3498060 4022769 5247090 5363692 6704615 8045538 10494180 12068307 13409230 16091076 20113845 24136614 26818460 40227690 48273228 60341535 80455380 120683070 241366140