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21318444 = 22337163173
BaseRepresentation
bin101000101010…
…0101100101100
31111010002102000
41101110230230
520424142234
62040532300
7346126620
oct121245454
944102360
1021318444
1111040954
127181090
134555584
142b8d180
151d11899
hex1454b2c

21318444 has 96 divisors (see below), whose sum is σ = 63920640. Its totient is φ = 6018624.

The previous prime is 21318443. The next prime is 21318449. The reversal of 21318444 is 44481312.

21318444 is a `hidden beast` number, since 213 + 1 + 8 + 444 = 666.

It is a super-2 number, since 2×213184442 = 908952109162272, which contains 22 as substring.

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 (21318443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123142 + ... + 123314.

It is an arithmetic number, because the mean of its divisors is an integer number (665840).

Almost surely, 221318444 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 21318444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31960320).

21318444 is an abundant number, since it is smaller than the sum of its proper divisors (42602196).

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

21318444 is a wasteful number, since it uses less digits than its factorization.

21318444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 348 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 21318444 is about 4617.1900545678. The cubic root of 21318444 is about 277.2799716788.

Adding to 21318444 its reverse (44481312), we get a palindrome (65799756).

The spelling of 21318444 in words is "twenty-one million, three hundred eighteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 163 173 189 252 326 346 378 489 519 652 692 756 978 1038 1141 1211 1467 1557 1956 2076 2282 2422 2934 3114 3423 3633 4401 4564 4671 4844 5868 6228 6846 7266 8802 9342 10269 10899 13692 14532 17604 18684 20538 21798 28199 30807 32697 41076 43596 56398 61614 65394 84597 112796 123228 130788 169194 197393 253791 338388 394786 507582 592179 761373 789572 1015164 1184358 1522746 1776537 2368716 3045492 3553074 5329611 7106148 10659222 21318444