Search a number
-
+
11830084 = 2271937601
BaseRepresentation
bin101101001000…
…001101000100
3211021000211021
4231020031010
511012030314
61101320524
7202361020
oct55101504
924230737
1011830084
116750132
123b66144
1325b2866
1417dd380
15108a324
hexb48344

11830084 has 48 divisors (see below), whose sum is σ = 25621120. Its totient is φ = 4665600.

The previous prime is 11830081. The next prime is 11830163. The reversal of 11830084 is 48003811.

It is not an unprimeable number, because it can be changed into a prime (11830081) 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, 19384 + ... + 19984.

Almost surely, 211830084 is an apocalyptic number.

11830084 is a gapful number since it is divisible by the number (14) 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 11830084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12810560).

11830084 is an abundant number, since it is smaller than the sum of its proper divisors (13791036).

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

11830084 is a wasteful number, since it uses less digits than its factorization.

11830084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 11830084 is about 3439.4889155222. The cubic root of 11830084 is about 227.8571229599.

Adding to 11830084 its reverse (48003811), we get a palindrome (59833895).

The spelling of 11830084 in words is "eleven million, eight hundred thirty thousand, eighty-four".

Divisors: 1 2 4 7 14 19 28 37 38 74 76 133 148 259 266 518 532 601 703 1036 1202 1406 2404 2812 4207 4921 8414 9842 11419 16828 19684 22237 22838 44474 45676 79933 88948 155659 159866 311318 319732 422503 622636 845006 1690012 2957521 5915042 11830084