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18105780 = 22357113919
BaseRepresentation
bin100010100010…
…0010110110100
31021001212110110
41011010112310
514113341110
61444023020
7306616350
oct105042664
937055413
1018105780
11a247160
126091a70
13399c1a4
142594460
1518c9a20
hex11445b4

18105780 has 96 divisors (see below), whose sum is σ = 63221760. Its totient is φ = 3761280.

The previous prime is 18105779. The next prime is 18105797. The reversal of 18105780 is 8750181.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2661 + ... + 6579.

It is an arithmetic number, because the mean of its divisors is an integer number (658560).

Almost surely, 218105780 is an apocalyptic number.

18105780 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 18105780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31610880).

18105780 is an abundant number, since it is smaller than the sum of its proper divisors (45115980).

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

18105780 is a wasteful number, since it uses less digits than its factorization.

18105780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3949 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 30.

The square root of 18105780 is about 4255.0887182290. The cubic root of 18105780 is about 262.5865111682.

The spelling of 18105780 in words is "eighteen million, one hundred five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 3919 4620 7838 11757 15676 19595 23514 27433 39190 43109 47028 54866 58785 78380 82299 86218 109732 117570 129327 137165 164598 172436 215545 235140 258654 274330 301763 329196 411495 431090 517308 548660 603526 646635 822990 862180 905289 1207052 1293270 1508815 1645980 1810578 2586540 3017630 3621156 4526445 6035260 9052890 18105780