Search a number
-
+
18386316 = 223213172311
BaseRepresentation
bin100011000100…
…0110110001100
31021121010021200
41012020312030
514201330231
61454025500
7312165264
oct106106614
937533250
1018386316
11a418a03
1261a8290
133a69aa0
1426287a4
151932be6
hex1188d8c

18386316 has 72 divisors (see below), whose sum is σ = 53018784. Its totient is φ = 5322240.

The previous prime is 18386309. The next prime is 18386321. The reversal of 18386316 is 61368381.

18386316 is a `hidden beast` number, since 18 + 3 + 8 + 631 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6801 + ... + 9111.

It is an arithmetic number, because the mean of its divisors is an integer number (736372).

Almost surely, 218386316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18386316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26509392).

18386316 is an abundant number, since it is smaller than the sum of its proper divisors (34632468).

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

18386316 is a wasteful number, since it uses less digits than its factorization.

18386316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351 (or 2346 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 18386316 is about 4287.9267717628. The cubic root of 18386316 is about 263.9357626077.

The spelling of 18386316 in words is "eighteen million, three hundred eighty-six thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2311 2652 3978 4622 6933 7956 9244 13866 20799 27732 30043 39287 41598 60086 78574 83196 90129 117861 120172 157148 180258 235722 270387 353583 360516 471444 510731 540774 707166 1021462 1081548 1414332 1532193 2042924 3064386 4596579 6128772 9193158 18386316