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21480264 = 23321353433
BaseRepresentation
bin101000111110…
…0001101001000
31111102022101100
41101330031020
520444332024
62044221400
7350402451
oct121741510
944368340
1021480264
1111141493
12723a860
1345b1120
142bd2128
151d447c9
hex147c348

21480264 has 96 divisors (see below), whose sum is σ = 63980280. Its totient is φ = 6469632.

The previous prime is 21480257. The next prime is 21480293. The reversal of 21480264 is 46208412.

It can be written as a sum of positive squares in 4 ways, for example, as 12659364 + 8820900 = 3558^2 + 2970^2 .

It is a super-2 number, since 2×214802642 = 922803483019392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 49392 + ... + 49824.

Almost surely, 221480264 is an apocalyptic number.

21480264 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 21480264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31990140).

21480264 is an abundant number, since it is smaller than the sum of its proper divisors (42500016).

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

21480264 is a wasteful number, since it uses less digits than its factorization.

21480264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 504 counting only the distinct ones).

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

The square root of 21480264 is about 4634.6805715173. The cubic root of 21480264 is about 277.9797787338.

Adding to 21480264 its reverse (46208412), we get a palindrome (67688676).

The spelling of 21480264 in words is "twenty-one million, four hundred eighty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 53 72 78 104 106 117 156 159 212 234 312 318 424 433 468 477 636 689 866 936 954 1272 1299 1378 1732 1908 2067 2598 2756 3464 3816 3897 4134 5196 5512 5629 6201 7794 8268 10392 11258 12402 15588 16536 16887 22516 22949 24804 31176 33774 45032 45898 49608 50661 67548 68847 91796 101322 135096 137694 183592 202644 206541 275388 298337 405288 413082 550776 596674 826164 895011 1193348 1652328 1790022 2386696 2685033 3580044 5370066 7160088 10740132 21480264