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21330504 = 23321321753
BaseRepresentation
bin101000101011…
…1101001001000
31111010200221200
41101113221020
520430034004
62041104200
7346210026
oct121275110
944120850
1021330504
1111049a18
127188060
13455ac00
142b93716
151d15239
hex1457a48

21330504 has 72 divisors (see below), whose sum is σ = 62591490. Its totient is φ = 6559488.

The previous prime is 21330503. The next prime is 21330581. The reversal of 21330504 is 40503312.

It can be written as a sum of positive squares in 3 ways, for example, as 4536900 + 16793604 = 2130^2 + 4098^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21330503) 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 17 ways as a sum of consecutive naturals, for example, 11292 + ... + 13044.

Almost surely, 221330504 is an apocalyptic number.

21330504 is a gapful number since it is divisible by the number (24) 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 21330504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31295745).

21330504 is an abundant number, since it is smaller than the sum of its proper divisors (41260986).

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

21330504 is a wasteful number, since it uses less digits than its factorization.

21330504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 21330504 is about 4618.4958590433. The cubic root of 21330504 is about 277.3322482596.

Adding to 21330504 its reverse (40503312), we get a palindrome (61833816).

The spelling of 21330504 in words is "twenty-one million, three hundred thirty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 1753 2028 3042 3506 4056 5259 6084 7012 10518 12168 14024 15777 21036 22789 31554 42072 45578 63108 68367 91156 126216 136734 182312 205101 273468 296257 410202 546936 592514 820404 888771 1185028 1640808 1777542 2370056 2666313 3555084 5332626 7110168 10665252 21330504