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21114016 = 2571121941
BaseRepresentation
bin101000010001…
…0110010100000
31110201200222121
41100202302200
520401122031
62032314024
7344315620
oct120426240
943650877
1021114016
1110a11300
1270a2914
1344b3501
142b38880
151cc1011
hex1422ca0

21114016 has 144 divisors (see below), whose sum is σ = 56306880. Its totient is φ = 7603200.

The previous prime is 21114011. The next prime is 21114019. The reversal of 21114016 is 61041112.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (21114011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 514956 + ... + 514996.

It is an arithmetic number, because the mean of its divisors is an integer number (391020).

Almost surely, 221114016 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 21114016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28153440).

21114016 is an abundant number, since it is smaller than the sum of its proper divisors (35192864).

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

21114016 is a wasteful number, since it uses less digits than its factorization.

21114016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 21114016 is about 4594.9990206745. Note that the first 3 decimals coincide. The cubic root of 21114016 is about 276.3908206912.

Adding to 21114016 its reverse (61041112), we get a palindrome (82155128).

The spelling of 21114016 in words is "twenty-one million, one hundred fourteen thousand, sixteen".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 41 44 56 76 77 82 88 112 121 133 152 154 164 176 209 224 242 266 287 304 308 328 352 418 451 484 532 574 608 616 656 779 836 847 902 968 1064 1148 1232 1312 1463 1558 1672 1694 1804 1936 2128 2296 2299 2464 2926 3116 3157 3344 3388 3608 3872 4256 4592 4598 4961 5453 5852 6232 6314 6688 6776 7216 8569 9184 9196 9922 10906 11704 12464 12628 13552 14432 16093 17138 18392 19844 21812 23408 24928 25256 27104 32186 34276 34727 36784 39688 43624 46816 50512 59983 64372 68552 69454 73568 79376 87248 94259 101024 119966 128744 137104 138908 158752 174496 188518 239932 257488 274208 277816 377036 479864 514976 555632 659813 754072 959728 1111264 1319626 1508144 1919456 2639252 3016288 5278504 10557008 21114016