Search a number
-
+
114330636 = 22337433517
BaseRepresentation
bin1101101000010…
…00110000001100
321222010121011000
412310020300030
5213232040021
615202300300
72555536320
oct664106014
9258117130
10114330636
115959a332
1232357690
131a8c0584
1411281980
15a085b26
hex6d08c0c

114330636 has 96 divisors (see below), whose sum is σ = 346734080. Its totient is φ = 31897152.

The previous prime is 114330599. The next prime is 114330637. The reversal of 114330636 is 636033411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (114330637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30750 + ... + 34266.

Almost surely, 2114330636 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 114330636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173367040).

114330636 is an abundant number, since it is smaller than the sum of its proper divisors (232403444).

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

114330636 is a wasteful number, since it uses less digits than its factorization.

114330636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3580 (or 3572 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 114330636 is about 10692.5504908792. The cubic root of 114330636 is about 485.3490752267.

The spelling of 114330636 in words is "one hundred fourteen million, three hundred thirty thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 54 63 84 86 108 126 129 172 189 252 258 301 378 387 516 602 756 774 903 1161 1204 1548 1806 2322 2709 3517 3612 4644 5418 7034 8127 10551 10836 14068 16254 21102 24619 31653 32508 42204 49238 63306 73857 94959 98476 126612 147714 151231 189918 221571 295428 302462 379836 443142 453693 604924 664713 886284 907386 1058617 1329426 1361079 1814772 2117234 2658852 2722158 3175851 4083237 4234468 5444316 6351702 8166474 9527553 12703404 16332948 19055106 28582659 38110212 57165318 114330636