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21081816 = 2333773191
BaseRepresentation
bin101000001101…
…0111011011000
31110200001211000
41100122323120
520344104231
62031505000
7344123010
oct120327330
943601730
1021081816
111099a098
127088160
1344a1962
142b2ac40
151cb66e6
hex141aed8

21081816 has 128 divisors (see below), whose sum is σ = 68198400. Its totient is φ = 5909760.

The previous prime is 21081793. The next prime is 21081833. The reversal of 21081816 is 61818012.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 21081816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110281 + ... + 110471.

It is an arithmetic number, because the mean of its divisors is an integer number (532800).

Almost surely, 221081816 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 21081816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34099200).

21081816 is an abundant number, since it is smaller than the sum of its proper divisors (47116584).

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

21081816 is a wasteful number, since it uses less digits than its factorization.

21081816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 21081816 is about 4591.4938745467. The cubic root of 21081816 is about 276.2502456267.

Adding to 21081816 its reverse (61818012), we get a palindrome (82899828).

The spelling of 21081816 in words is "twenty-one million, eighty-one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 73 84 108 126 146 168 189 191 216 219 252 292 378 382 438 504 511 573 584 657 756 764 876 1022 1146 1314 1337 1512 1528 1533 1719 1752 1971 2044 2292 2628 2674 3066 3438 3942 4011 4088 4584 4599 5157 5256 5348 6132 6876 7884 8022 9198 10314 10696 12033 12264 13752 13797 13943 15768 16044 18396 20628 24066 27594 27886 32088 36099 36792 41256 41829 48132 55188 55772 72198 83658 96264 97601 110376 111544 125487 144396 167316 195202 250974 288792 292803 334632 376461 390404 501948 585606 752922 780808 878409 1003896 1171212 1505844 1756818 2342424 2635227 3011688 3513636 5270454 7027272 10540908 21081816