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21716016 = 243731319
BaseRepresentation
bin101001011010…
…1110000110000
31111212021202220
41102311300300
521024403031
62053241040
7352404000
oct122656060
944767686
1021716016
1111292623
127333180
13466451a
142c54000
151d8e596
hex14b5c30

21716016 has 80 divisors (see below), whose sum is σ = 65472000. Its totient is φ = 6199872.

The previous prime is 21715999. The next prime is 21716017. The reversal of 21716016 is 61061712.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21716017) 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 15 ways as a sum of consecutive naturals, for example, 15805 + ... + 17123.

It is an arithmetic number, because the mean of its divisors is an integer number (818400).

Almost surely, 221716016 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 21716016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32736000).

21716016 is an abundant number, since it is smaller than the sum of its proper divisors (43755984).

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

21716016 is a wasteful number, since it uses less digits than its factorization.

21716016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 21716016 is about 4660.0446349794. The cubic root of 21716016 is about 278.9930497620.

Adding to 21716016 its reverse (61061712), we get a palindrome (82777728).

The spelling of 21716016 in words is "twenty-one million, seven hundred sixteen thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 1029 1176 1319 1372 2058 2352 2638 2744 3957 4116 5276 5488 7914 8232 9233 10552 15828 16464 18466 21104 27699 31656 36932 55398 63312 64631 73864 110796 129262 147728 193893 221592 258524 387786 443184 452417 517048 775572 904834 1034096 1357251 1551144 1809668 2714502 3102288 3619336 5429004 7238672 10858008 21716016