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18117240 = 23351783107
BaseRepresentation
bin100010100011…
…1001001111000
31021002110011220
41011013021320
514114222430
61444152040
7306664641
oct105071170
937073156
1018117240
11a254829
126098620
1339a447b
1425986c8
1518cd110
hex1147278

18117240 has 128 divisors (see below), whose sum is σ = 58786560. Its totient is φ = 4450304.

The previous prime is 18117227. The next prime is 18117251. The reversal of 18117240 is 4271181.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 18117240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169267 + ... + 169373.

It is an arithmetic number, because the mean of its divisors is an integer number (459270).

Almost surely, 218117240 is an apocalyptic number.

18117240 is a gapful number since it is divisible by the number (10) 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 18117240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29393280).

18117240 is an abundant number, since it is smaller than the sum of its proper divisors (40669320).

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

18117240 is a wasteful number, since it uses less digits than its factorization.

18117240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 18117240 is about 4256.4351281325. The cubic root of 18117240 is about 262.6419006027.

The spelling of 18117240 in words is "eighteen million, one hundred seventeen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 83 85 102 107 120 136 166 170 204 214 249 255 321 332 340 408 415 428 498 510 535 642 664 680 830 856 996 1020 1070 1245 1284 1411 1605 1660 1819 1992 2040 2140 2490 2568 2822 3210 3320 3638 4233 4280 4980 5457 5644 6420 7055 7276 8466 8881 9095 9960 10914 11288 12840 14110 14552 16932 17762 18190 21165 21828 26643 27285 28220 33864 35524 36380 42330 43656 44405 53286 54570 56440 71048 72760 84660 88810 106572 109140 133215 150977 169320 177620 213144 218280 266430 301954 355240 452931 532860 603908 754885 905862 1065720 1207816 1509770 1811724 2264655 3019540 3623448 4529310 6039080 9058620 18117240