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18385780 = 2257273257
BaseRepresentation
bin100011000100…
…0101101110100
31021121002112211
41012020231310
514201321110
61454023204
7312163600
oct106105564
937532484
1018385780
11a418566
1261a7b04
133a6977a
142628500
15193298a
hex1188b74

18385780 has 72 divisors (see below), whose sum is σ = 45706248. Its totient is φ = 6193152.

The previous prime is 18385771. The next prime is 18385819. The reversal of 18385780 is 8758381.

It can be written as a sum of positive squares in 4 ways, for example, as 7376656 + 11009124 = 2716^2 + 3318^2 .

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 23 ways as a sum of consecutive naturals, for example, 71412 + ... + 71668.

It is an arithmetic number, because the mean of its divisors is an integer number (634809).

Almost surely, 218385780 is an apocalyptic number.

18385780 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 18385780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22853124).

18385780 is an abundant number, since it is smaller than the sum of its proper divisors (27320468).

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

18385780 is a wasteful number, since it uses less digits than its factorization.

18385780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The square root of 18385780 is about 4287.8642702399. The cubic root of 18385780 is about 263.9331978209.

The spelling of 18385780 in words is "eighteen million, three hundred eighty-five thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 73 98 140 146 196 245 257 292 365 490 511 514 730 980 1022 1028 1285 1460 1799 2044 2555 2570 3577 3598 5110 5140 7154 7196 8995 10220 12593 14308 17885 17990 18761 25186 35770 35980 37522 50372 62965 71540 75044 93805 125930 131327 187610 251860 262654 375220 525308 656635 919289 1313270 1838578 2626540 3677156 4596445 9192890 18385780