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21306096 = 2432723919
BaseRepresentation
bin101000101000…
…1101011110000
31111002110110200
41101101223300
520423243341
62040355200
7346045620
oct121215360
944073420
1021306096
1111032649
127175b00
13454ca76
142b88880
151d0cdb6
hex1451af0

21306096 has 120 divisors (see below), whose sum is σ = 71185920. Its totient is φ = 5816448.

The previous prime is 21306091. The next prime is 21306143. The reversal of 21306096 is 69060312.

It is a happy number.

21306096 is a `hidden beast` number, since 21 + 30 + 609 + 6 = 666.

It is a super-2 number, since 2×213060962 = 907899453522432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21306091) 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 23 ways as a sum of consecutive naturals, for example, 22725 + ... + 23643.

It is an arithmetic number, because the mean of its divisors is an integer number (593216).

Almost surely, 221306096 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 21306096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35592960).

21306096 is an abundant number, since it is smaller than the sum of its proper divisors (49879824).

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

21306096 is a wasteful number, since it uses less digits than its factorization.

21306096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 21306096 is about 4615.8526839578. The cubic root of 21306096 is about 277.2264262707.

The spelling of 21306096 in words is "twenty-one million, three hundred six thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 252 276 322 336 368 414 483 504 552 644 828 919 966 1008 1104 1288 1449 1656 1838 1932 2576 2757 2898 3312 3676 3864 5514 5796 6433 7352 7728 8271 11028 11592 12866 14704 16542 19299 21137 22056 23184 25732 33084 38598 42274 44112 51464 57897 63411 66168 77196 84548 102928 115794 126822 132336 147959 154392 169096 190233 231588 253644 295918 308784 338192 380466 443877 463176 507288 591836 760932 887754 926352 1014576 1183672 1331631 1521864 1775508 2367344 2663262 3043728 3551016 5326524 7102032 10653048 21306096