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21201264 = 243571941
BaseRepresentation
bin101000011100…
…0000101110000
31110220010200000
41100320011300
520411420024
62034230000
7345131160
oct120700560
943803600
1021201264
1110a70907
127125300
134514136
142b5c5a0
151cdbcc9
hex1438170

21201264 has 240 divisors, whose sum is σ = 75828480. Its totient is φ = 5598720.

The previous prime is 21201251. The next prime is 21201281. The reversal of 21201264 is 46210212.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517084 + ... + 517124.

It is an arithmetic number, because the mean of its divisors is an integer number (315952).

Almost surely, 221201264 is an apocalyptic number.

21201264 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 21201264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37914240).

21201264 is an abundant number, since it is smaller than the sum of its proper divisors (54627216).

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

21201264 is a wasteful number, since it uses less digits than its factorization.

21201264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 21201264 is about 4604.4830328713. The cubic root of 21201264 is about 276.7710011163.

Adding to 21201264 its reverse (46210212), we get a palindrome (67411476).

The spelling of 21201264 in words is "twenty-one million, two hundred one thousand, two hundred sixty-four".