Search a number
-
+
18084940 = 22517431237
BaseRepresentation
bin100010011111…
…1010001001100
31021000210212121
41010333101030
514112204230
61443342324
7306501526
oct104772114
937023777
1018084940
11a232535
1260819a4
133992863
14258aa16
1518c377a
hex113f44c

18084940 has 48 divisors (see below), whose sum is σ = 41180832. Its totient is φ = 6644736.

The previous prime is 18084919. The next prime is 18084949. The reversal of 18084940 is 4948081.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 18084896 and 18084905.

It is not an unprimeable number, because it can be changed into a prime (18084949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14002 + ... + 15238.

It is an arithmetic number, because the mean of its divisors is an integer number (857934).

Almost surely, 218084940 is an apocalyptic number.

18084940 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 18084940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20590416).

18084940 is an abundant number, since it is smaller than the sum of its proper divisors (23095892).

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

18084940 is a wasteful number, since it uses less digits than its factorization.

18084940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 18084940 is about 4252.6391805560. The cubic root of 18084940 is about 262.4857256032.

The spelling of 18084940 in words is "eighteen million, eighty-four thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 34 43 68 85 86 170 172 215 340 430 731 860 1237 1462 2474 2924 3655 4948 6185 7310 12370 14620 21029 24740 42058 53191 84116 105145 106382 210290 212764 265955 420580 531910 904247 1063820 1808494 3616988 4521235 9042470 18084940