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21461232 = 24313163211
BaseRepresentation
bin101000111011…
…1100011110000
31111101100021110
41101313203300
520443224412
62043553320
7350263122
oct121674360
944340243
1021461232
1111129161
12722b840
1345a5570
142bc9212
151d3dd3c
hex14778f0

21461232 has 80 divisors (see below), whose sum is σ = 60357248. Its totient is φ = 6531840.

The previous prime is 21461213. The next prime is 21461233. The reversal of 21461232 is 23216412.

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

It is a junction number, because it is equal to n+sod(n) for n = 21461199 and 21461208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21461233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101607 + ... + 101817.

Almost surely, 221461232 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 21461232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30178624).

21461232 is an abundant number, since it is smaller than the sum of its proper divisors (38896016).

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

21461232 is a wasteful number, since it uses less digits than its factorization.

21461232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 392 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 21461232 is about 4632.6269005824. The cubic root of 21461232 is about 277.8976556832.

Adding to 21461232 its reverse (23216412), we get a palindrome (44677644).

The spelling of 21461232 in words is "twenty-one million, four hundred sixty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 163 208 211 312 326 422 489 624 633 652 844 978 1266 1304 1688 1956 2119 2532 2608 2743 3376 3912 4238 5064 5486 6357 7824 8229 8476 10128 10972 12714 16458 16952 21944 25428 32916 33904 34393 43888 50856 65832 68786 101712 103179 131664 137572 206358 275144 412716 447109 550288 825432 894218 1341327 1650864 1788436 2682654 3576872 5365308 7153744 10730616 21461232