Search a number
-
+
18103540 = 225741329
BaseRepresentation
bin100010100001…
…1110011110100
31021001202101111
41011003303310
514113303130
61444004404
7306610000
oct105036364
937052344
1018103540
11a245504
126090704
13399b170
142593700
1518c902a
hex1143cf4

18103540 has 120 divisors (see below), whose sum is σ = 49409640. Its totient is φ = 5531904.

The previous prime is 18103537. The next prime is 18103571. The reversal of 18103540 is 4530181.

It can be written as a sum of positive squares in 4 ways, for example, as 345744 + 17757796 = 588^2 + 4214^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 624246 + ... + 624274.

It is an arithmetic number, because the mean of its divisors is an integer number (411747).

Almost surely, 218103540 is an apocalyptic number.

18103540 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 18103540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24704820).

18103540 is an abundant number, since it is smaller than the sum of its proper divisors (31306100).

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

18103540 is a wasteful number, since it uses less digits than its factorization.

18103540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 18103540 is about 4254.8254958341. The cubic root of 18103540 is about 262.5756818816.

The spelling of 18103540 in words is "eighteen million, one hundred three thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 29 35 49 52 58 65 70 91 98 116 130 140 145 182 196 203 245 260 290 343 364 377 406 455 490 580 637 686 754 812 910 980 1015 1274 1372 1421 1508 1715 1820 1885 2030 2401 2548 2639 2842 3185 3430 3770 4060 4459 4802 5278 5684 6370 6860 7105 7540 8918 9604 9947 10556 12005 12740 13195 14210 17836 18473 19894 22295 24010 26390 28420 31213 36946 39788 44590 48020 49735 52780 62426 69629 73892 89180 92365 99470 124852 129311 139258 156065 184730 198940 258622 278516 312130 348145 369460 517244 624260 646555 696290 905177 1293110 1392580 1810354 2586220 3620708 4525885 9051770 18103540