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21085218 = 2337112461
BaseRepresentation
bin101000001101…
…1110000100010
31110200020111000
41100123300202
520344211333
62031532430
7344135640
oct120336042
943606430
1021085218
11109a1700
12708a116
1344a337b
142b2c190
151cb7713
hex141bc22

21085218 has 96 divisors (see below), whose sum is σ = 58988160. Its totient is φ = 5464800.

The previous prime is 21085213. The next prime is 21085223. The reversal of 21085218 is 81258012.

It is an interprime number because it is at equal distance from previous prime (21085213) and next prime (21085223).

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

It is a junction number, because it is equal to n+sod(n) for n = 21085191 and 21085200.

It is not an unprimeable number, because it can be changed into a prime (21085213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45508 + ... + 45968.

It is an arithmetic number, because the mean of its divisors is an integer number (614460).

Almost surely, 221085218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21085218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29494080).

21085218 is an abundant number, since it is smaller than the sum of its proper divisors (37902942).

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

21085218 is a wasteful number, since it uses less digits than its factorization.

21085218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 21085218 is about 4591.8643272640. The cubic root of 21085218 is about 276.2651044477.

The spelling of 21085218 in words is "twenty-one million, eighty-five thousand, two hundred eighteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 121 126 154 189 198 231 242 297 363 378 461 462 594 693 726 847 922 1089 1383 1386 1694 2079 2178 2541 2766 3227 3267 4149 4158 5071 5082 6454 6534 7623 8298 9681 10142 12447 15213 15246 19362 22869 24894 29043 30426 35497 45639 45738 55781 58086 70994 87129 91278 106491 111562 136917 167343 174258 212982 273834 319473 334686 390467 502029 638946 780934 958419 1004058 1171401 1506087 1916838 2342802 3012174 3514203 7028406 10542609 21085218