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21216768 = 29319727
BaseRepresentation
bin101000011101…
…1111000000000
31110220220221020
41100323320000
520412414033
62034425440
7345224316
oct120737000
943826836
1021216768
1110a81521
127132280
13451b201
142b640b6
151ce16b3
hex143be00

21216768 has 80 divisors (see below), whose sum is σ = 59579520. Its totient is φ = 6690816.

The previous prime is 21216751. The next prime is 21216773. The reversal of 21216768 is 86761212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28821 + ... + 29547.

It is an arithmetic number, because the mean of its divisors is an integer number (744744).

Almost surely, 221216768 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 21216768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29789760).

21216768 is an abundant number, since it is smaller than the sum of its proper divisors (38362752).

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

21216768 is an equidigital number, since it uses as much as digits as its factorization.

21216768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 751 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 21216768 is about 4606.1663018176. The cubic root of 21216768 is about 276.8384501144.

The spelling of 21216768 in words is "twenty-one million, two hundred sixteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 727 768 912 1216 1454 1536 1824 2181 2432 2908 3648 4362 4864 5816 7296 8724 9728 11632 13813 14592 17448 23264 27626 29184 34896 41439 46528 55252 69792 82878 93056 110504 139584 165756 186112 221008 279168 331512 372224 442016 558336 663024 884032 1116672 1326048 1768064 2652096 3536128 5304192 7072256 10608384 21216768