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21068096 = 267313741
BaseRepresentation
bin101000001011…
…1100101000000
31110122100222212
41100113211000
520343134341
62031321252
7344035010
oct120274500
943570885
1021068096
111098a855
127080228
13449863a
142b25c40
151cb25eb
hex1417940

21068096 has 112 divisors (see below), whose sum is σ = 51889152. Its totient is φ = 8294400.

The previous prime is 21068087. The next prime is 21068101. The reversal of 21068096 is 69086012.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513836 + ... + 513876.

It is an arithmetic number, because the mean of its divisors is an integer number (463296).

Almost surely, 221068096 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 21068096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25944576).

21068096 is an abundant number, since it is smaller than the sum of its proper divisors (30821056).

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

21068096 is a wasteful number, since it uses less digits than its factorization.

21068096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 21068096 is about 4589.9995642701. Note that the first 3 decimals coincide. The cubic root of 21068096 is about 276.1903049354.

21068096 divided by its sum of digits (32) gives a triangular number (658378 = T1147).

The spelling of 21068096 in words is "twenty-one million, sixty-eight thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 37 41 56 62 64 74 82 112 124 148 164 217 224 248 259 287 296 328 434 448 496 518 574 592 656 868 992 1036 1147 1148 1184 1271 1312 1517 1736 1984 2072 2294 2296 2368 2542 2624 3034 3472 4144 4588 4592 5084 6068 6944 8029 8288 8897 9176 9184 10168 10619 12136 13888 16058 16576 17794 18352 18368 20336 21238 24272 32116 35588 36704 40672 42476 47027 48544 64232 71176 73408 81344 84952 94054 97088 128464 142352 169904 188108 256928 284704 329189 339808 376216 513856 569408 658378 679616 752432 1316756 1504864 2633512 3009728 5267024 10534048 21068096