Search a number
-
+
21243264 = 273721129
BaseRepresentation
bin101000100001…
…0010110000000
31110222021021120
41101002112000
520414241024
62035152240
7345364500
oct121022600
943867246
1021243264
1110a9a419
127145680
13452a2a3
142b6da00
151ce9479
hex1442580

21243264 has 96 divisors (see below), whose sum is σ = 65698200. Its totient is φ = 6064128.

The previous prime is 21243263. The next prime is 21243293. The reversal of 21243264 is 46234212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21243263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18252 + ... + 19380.

Almost surely, 221243264 is an apocalyptic number.

21243264 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 21243264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32849100).

21243264 is an abundant number, since it is smaller than the sum of its proper divisors (44454936).

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

21243264 is a wasteful number, since it uses less digits than its factorization.

21243264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1141 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 21243264 is about 4609.0415489557. The cubic root of 21243264 is about 276.9536429699.

Adding to 21243264 its reverse (46234212), we get a palindrome (67477476).

The spelling of 21243264 in words is "twenty-one million, two hundred forty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1129 1176 1344 1568 2258 2352 2688 3136 3387 4516 4704 6272 6774 7903 9032 9408 13548 15806 18064 18816 23709 27096 31612 36128 47418 54192 55321 63224 72256 94836 108384 110642 126448 144512 165963 189672 216768 221284 252896 331926 379344 433536 442568 505792 663852 758688 885136 1011584 1327704 1517376 1770272 2655408 3034752 3540544 5310816 7081088 10621632 21243264